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This PowerPoint presentation helps the beginners, business analysts, etc to understand the importance of the basic and advanced functions in MS Excel. Also for the interviewees to have a quick look before heading to their interview. This guide defines the excel functions with the appropriate syntax and an example.
This document provides examples of useful functions and formulas in Microsoft Excel across several categories including common text, math, conditional, date and time functions. It demonstrates how to use functions like UPPER, ROUND, COUNTIF, IF, and DATE among many others to manipulate text, perform calculations, add conditional logic, work with dates and times. Instructions are provided on copying formulas down a column and removing formulas to paste only values.
The document outlines lessons and sections covering rational numbers, exponents, square roots, and ratios and rates. It includes topics such as comparing fractions and square roots, powers and exponents, the real number system, and properties of exponents including the product of powers rule and power of a product rule. Examples are provided to demonstrate evaluating expressions with exponents and finding square roots.
This document discusses VBA programming for Excel. It covers topics like Excel objects and methods, identifying specific cells using cell references or ranges, using functions like VLookup, and creating custom menus and functions in VBA. Functions and macros can be used to automate tasks like formatting cells, copying/pasting ranges, looking up values, and adding new menu items to Excel. User-defined functions allow custom calculations to be added.
This document discusses the different types of functions in Microsoft Excel 2003, including mathematical, statistical, financial, and database functions. Mathematical functions perform basic math operations like addition, subtraction, multiplication, and division. Statistical functions analyze data, including AVERAGE, MEDIAN, MODE, MIN, and MAX. Financial functions handle time-value-of-money calculations like FV, NPER, PV, RATE, and more. Database functions extract and manipulate data from databases, such as DSUM, DCOUNT, DGET, and DVAR.
The document discusses the five main properties of multiplication:
1. The commutative property states that changing the order of factors does not change the product, such as 2 x 4 = 4 x 2.
2. The associative property states that changing the grouping of factors does not change the product, such as (2 x 2) x 4 = 2 x (2 x 4).
3. The identity property states that any number multiplied by 1 is equal to itself, such as 2 x 1 = 2.
4. The zero property states that any number multiplied by 0 is equal to 0, such as 2 x 0 = 0.
5. The distributive property states that the product of a number and
This document discusses mapping entities, relationships, and attributes from an ER diagram to tables in a relational database. It provides three rules for the mapping: 1) entity names become table names, 2) attributes become columns, and 3) relationships are mapped using foreign keys. Examples are given for mapping various model constructs like weak entities, one-to-one/many relationships, multivalued attributes, and specialization/generalization. The document also discusses options for mapping specialization hierarchies to multiple tables or a single table design.
The document provides an overview of various Excel functions organized into categories including:
1. Mathematical functions such as ROUND, MOD, INTEGER, GCD, and LOG functions.
2. Statistical functions such as COUNT, AVERAGE, MAX, MEDIAN, and financial functions such as NPV, PV, PMT.
3. Lookup functions including VLOOKUP, HLOOKUP, MATCH to find data in tables or perform lookups.
4. Date and time functions like DATE, TIME, TODAY, NOW and DATEDIF to work with dates and times.
5. Text functions including LEFT, RIGHT, MID, UPPER, LOWER, LEN to manipulate
This PowerPoint presentation helps the beginners, business analysts, etc to understand the importance of the basic and advanced functions in MS Excel. Also for the interviewees to have a quick look before heading to their interview. This guide defines the excel functions with the appropriate syntax and an example.
This document provides examples of useful functions and formulas in Microsoft Excel across several categories including common text, math, conditional, date and time functions. It demonstrates how to use functions like UPPER, ROUND, COUNTIF, IF, and DATE among many others to manipulate text, perform calculations, add conditional logic, work with dates and times. Instructions are provided on copying formulas down a column and removing formulas to paste only values.
The document outlines lessons and sections covering rational numbers, exponents, square roots, and ratios and rates. It includes topics such as comparing fractions and square roots, powers and exponents, the real number system, and properties of exponents including the product of powers rule and power of a product rule. Examples are provided to demonstrate evaluating expressions with exponents and finding square roots.
This document discusses VBA programming for Excel. It covers topics like Excel objects and methods, identifying specific cells using cell references or ranges, using functions like VLookup, and creating custom menus and functions in VBA. Functions and macros can be used to automate tasks like formatting cells, copying/pasting ranges, looking up values, and adding new menu items to Excel. User-defined functions allow custom calculations to be added.
This document discusses the different types of functions in Microsoft Excel 2003, including mathematical, statistical, financial, and database functions. Mathematical functions perform basic math operations like addition, subtraction, multiplication, and division. Statistical functions analyze data, including AVERAGE, MEDIAN, MODE, MIN, and MAX. Financial functions handle time-value-of-money calculations like FV, NPER, PV, RATE, and more. Database functions extract and manipulate data from databases, such as DSUM, DCOUNT, DGET, and DVAR.
The document discusses the five main properties of multiplication:
1. The commutative property states that changing the order of factors does not change the product, such as 2 x 4 = 4 x 2.
2. The associative property states that changing the grouping of factors does not change the product, such as (2 x 2) x 4 = 2 x (2 x 4).
3. The identity property states that any number multiplied by 1 is equal to itself, such as 2 x 1 = 2.
4. The zero property states that any number multiplied by 0 is equal to 0, such as 2 x 0 = 0.
5. The distributive property states that the product of a number and
This document discusses mapping entities, relationships, and attributes from an ER diagram to tables in a relational database. It provides three rules for the mapping: 1) entity names become table names, 2) attributes become columns, and 3) relationships are mapped using foreign keys. Examples are given for mapping various model constructs like weak entities, one-to-one/many relationships, multivalued attributes, and specialization/generalization. The document also discusses options for mapping specialization hierarchies to multiple tables or a single table design.
The document provides an overview of various Excel functions organized into categories including:
1. Mathematical functions such as ROUND, MOD, INTEGER, GCD, and LOG functions.
2. Statistical functions such as COUNT, AVERAGE, MAX, MEDIAN, and financial functions such as NPV, PV, PMT.
3. Lookup functions including VLOOKUP, HLOOKUP, MATCH to find data in tables or perform lookups.
4. Date and time functions like DATE, TIME, TODAY, NOW and DATEDIF to work with dates and times.
5. Text functions including LEFT, RIGHT, MID, UPPER, LOWER, LEN to manipulate
The document provides solutions for common Excel lookup and matching problems using functions like VLOOKUP, INDEX, MATCH, IF, and more. It gives examples of formulas to:
1) Look up a value in a table and return multiple corresponding values if there are multiple matches, instead of just the first match.
2) Find the text in one sheet that matches each number in another sheet using VLOOKUP and IF functions.
3) Retrieve values from one table by matching pairs of items and types from another table using INDEX and MATCH functions.
The document provides examples and explanations for various lookup and matching challenges in Excel.
This document provides an overview of various functions and features in Excel for performing data analysis and visualization. It discusses reading data into Excel from different file formats, as well as predefined and advanced functions for calculations, text manipulation, lookups, logical operations, statistics, and more. Conditional formatting and custom formatting are described for visualizing data. The document also covers creating charts in Excel, performing statistical analysis, analyzing data with pivot tables, and using filters, slicers, grouping, and custom calculations with pivot tables.
This document provides an overview of key aspects of Microsoft Excel including its features, file formats, navigation keys, worksheets, formatting, cells and ranges, formulas, functions, and error values. It describes Excel's abilities for number crunching, creating charts and graphs, organizing lists, and accessing other data. It also outlines the basic components of formulas in Excel including operators, cell references, values/text, and functions. Finally, it provides examples of commonly used functions like SUM, AVERAGE, VLOOKUP, and COUNTIF.
This document provides an overview of using formulas and functions in Excel 2007, including mathematical operators, cell references, common functions like SUM and IF, finding the right function, fixing errors, naming cells, and other tips. Key topics covered are basic formulas, relative and absolute cell references, using functions, the IF function, displaying formulas, the function library, and identifying common errors. Users will learn the basics of working with formulas and functions in Excel.
This document provides instructions for three methods to add dashes to phone numbers in Excel:
1. Use a REPLACE formula to insert dashes at specific character positions.
2. Use the TEXT formula with a phone number format mask to automatically add dashes.
3. Select the phone numbers and use the Format Cells feature to apply a built-in phone number format.
1. SQL is a language used to query, analyze, and manipulate data from databases. It is one of the most widely used tools for working with data.
2. The question provides a sample table called "airbnb_listings" with columns for id, city, country, number_of_rooms, and year_listed.
3. SQL can filter data by specifying conditions in a WHERE clause. Examples filter the listings table to return rows where the number_of_rooms is greater than or equal to 3, or where number_of_rooms is greater than 3.
Use of Excel Spreadsheets in Computing GradesElli May Cañas
This document discusses using Excel to compute grades. It explains how Excel formulas can be used to automatically calculate totals, averages, dropped scores, and weighted averages. Common functions like SUM, AVERAGE, MIN, and COUNT are described. Conditional logic and lookup functions like IF, AND, OR, ISBLANK, and VLOOKUP allow Excel to perform different calculations based on cell values. The document provides examples of formulas to calculate class averages that drop scores, apply weighting, and perform letter grade conversions using lookup tables.
The document discusses tuples, lists, and dictionaries in Python. Tuples are immutable sequences that are created using parentheses. Lists are mutable sequences that can be modified using methods like append(). Dictionaries are collections of key-value pairs that are indexed by keys and allow for adding, updating and deleting elements. Both lists and tuples can be traversed using for loops, while dictionaries are traversed by their keys.
The document provides an overview of various tools and functions in Excel including lookups, pivots tables, filters, scenario managers, hyperlinks, conditional formatting, macros, and auditing tools. It discusses the purpose and basic usage of each with examples. Key tips are provided such as anchoring cells in formulas, using shortcuts, and resources for finding additional help online through Microsoft or YouTube.
Here are a few ways to find the highest, second highest, etc. values in a column in Excel:
1. Use the LARGE function:
- To find the highest value: =LARGE(A1:A10,1)
- To find the second highest value: =LARGE(A1:A10,2)
- And so on, increasing the second argument by 1 each time
2. Use the SMALL function (opposite of LARGE):
- To find the second highest value: =SMALL(A1:A10,2)
- To find the third highest value: =SMALL(A1:A10,3)
3. Sort
This document discusses Excel tables, pivot tables, and the VLOOKUP function. It begins by introducing Troy Boileau and his company Powered By Search, a digital marketing agency. It then outlines the following sections: Using VLOOKUP, which explains how to use the VLOOKUP function; Proper Table Use, which discusses best practices for structuring data in tables; Fun With Pivot Tables, an overview of pivot tables and their functionality; and two case studies applying VLOOKUP and pivot tables. The document provides examples and explanations of how to implement these Excel features to analyze and visualize data.
This document provides an overview of advanced functions, conditional formatting, and filtering in Excel. It discusses how to use logical functions like IF, AND, OR to evaluate conditions. It also covers looking up values with VLOOKUP, highlighting duplicates, summarizing data with COUNTIF/SUMIF/AVERAGEIF, and using advanced filters and database functions to analyze data based on criteria. The objectives are to learn how to evaluate single and multiple conditions, nest IF functions, look up values, highlight errors/duplicates, summarize data conditionally, and filter data in advanced ways.
The document provides details of an assignment submitted by Rohit Singh for the course ITM Lab (MS-151) to his instructor Ms. Ritu Bansal. The assignment involves creating directories and files in a hierarchy using DOS commands, and performing operations like renaming files, copying files between directories, deleting directories etc. It also provides questions asking the student to write DOS commands for operations like displaying date and time, creating and listing files and directories, copying files between directories etc.
HANDOUT for this is available at http://i-digitals.blogspot.com/2011/08/using-excel-to-manage-student-grade.html
This workshop is an introduction to basic Excel formulas and functions. The emphasis is on the application of the software to manage student scores, and to calculate the letter grade for a class.
The document discusses various lookup functions in Microsoft Excel, including LOOKUP, HLOOKUP, INDEX, MATCH, and CHOOSE. It provides the syntax and purpose of each function. LOOKUP returns a value from a range based on a lookup value. HLOOKUP looks up a value in the top row and returns the value from the same column in a specified row. INDEX returns a value based on row and column numbers. MATCH locates the position of a lookup value. CHOOSE returns a value from a list using a given index position.
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� EMBED Equation.3 ���-5
� EMBED Equation.3 ���5
Sum=b
0
Product=a x c
1x (-25)
x2+0x-25=0 substitute the value of bx to facilitate factorization
The denominator is a constant term
(x2+5x)(-5x-25)=0
x (x+5)-5(x+5)=0
(x+5)(x-5) are the factors for the domain
All values of x in the expression are included as dividing by the domain will yield a solution
Thus D=� EMBED Equation.3 ���
� EMBED Equation.3 ���The Domain is Integer 2 which divides any factor in the numerator. We factorize the Numerator to obtain the factors.
� EMBED Equation.3 ���-6
� EMBED Equation.3 ���5
Sum=b
-1
Product=a x c
1x (-30)
k2+5k-6k-30=0 substitute the value of bx to facilitate factorization
(k2+5k)(-6k-30)=0
k (k+5)-6(k+5)=0
(k+5)(k-6) are the factors for the domain
k=-5 and k=6 are the excluded values in the expression since they will equal 0 in any range of values.
Thus D={K:K� EMBED Equation.3 ���� EMBED Equation.3 ���,K� EMBED Equation.3 ���(-5) ,k� EMBED Equation.3 ���6}
L
� EMBED Equation.3 ���Factorizing the domain in the form we find factors:
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INSTRUCTOR GUIDANCE EXAMPLE: Week One Discussion
Domains of Rational Expressions
Students, you are perfectly welcome to format your math work just as I have done in
these examples. However, the written parts of the assignment MUST be done about
your own thoughts and in your own words. You are NOT to simply copy this wording
into your posts!
Here are my given rational expressions oh which to base my work.
25x2 – 4
67
5 – 9w
9w2 – 4
The domain of a rational expression is the set of all numbers which are allowed to
substitute for the variable in the expression. It is possible that some numbers will not be
allowed depending on what the denominator has in it.
In our Real Number System division by zero cannot be done. There is no number (or
any other object) which can be the answer to division by zero so we must simply call the
attempt “undefined.” A denominator cannot be zero because in a rational number or
expression the denominator divides the numerator.
In my first expression, the denominator is a constant term, meaning there is no variable
present. Since it is impossible for 67 to equal zero, there are no excluded values for the
domain. We can say the domain (D) is the set of all Real Numbers, written in set
notation that would look like this:
D = {x| x ∈ ℜ} or even more simply as D = ℜ.
For my second expression, I need to set the denominator equal to zero to find my
excluded values for w.
9w2 – 4 = 0 I notice this is a difference of squares which I can factor.
(3w – 2)(3w + 2) = 0 Set each factor equal to zero.
3w – 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides.
Due November 22 2021 This assignment is worth 20 of your .pdfabibagschennai
Due: November 22, 2021 This assignment is worth 20% of your final grade. Late penalties - up to
1 week late - 10% - 10% per day there after to a maximum of 50% Assignment Completion In
order to for this assignment to be considered completed you must submit: - a completed analysis
of functions listed for (part A) - a successful run for part C (green check for part C in actions) Note:
Assignment completion is the minimum requirements for your assignment. It does not mean you
will receive full marks. Assignment Objectives: In this assignment, you will: - Complete an analysis
of multiple related functions for a class - Implement hash tables Restrictions As this assignment is
about implementing data structures, you are not allowed to make use of any python libraries or
use builtin python data structures and functions unless otherwise stated. Overview In this
assignment you will look at several implementations of a Table. There are three tasks:1. Analyze
the member functions of the class SortedTable (code for this is provided below). This table is
created using a sorted list. It is not necessarily implemented well. You will analyze the listed
functions. 2. Offer suggestions on how to make the SortedTable more efficient. After analyzing the
functions, look at how it is done and come up with some changes that will make the code more
efficient 3. Implement a Hash table - using chaining for collision resolution - using linear probing
for collision resolution Table functions overview We will explore 3 ways to implement a Table.
Each method will have a different internal structure but the functionality will be the same. A table
stores a set of key-value pairs which are also referred to as records The following specification
describes an overview of the general functionalities of the table but it does not specify any
specifics in terms of implementation. In otherwords, it describes what it can do but doesn't specify
any internal data strctures [ text { def _init_(self, capacity }=32 text { ) : } ] The initializer for the
table defaults the initial table capacity to 32. It creates a list with capacity elements all initialized to
None. def insert(self, key, value): This function adds a new key-value pair into the table. If a record
with matching key already exists in the table, the function does not add the new key-value pair and
returns False. Otherwise, function adds the new key-value pair into the table and returns True. If
adding a record will cause the table to be "too small" (defined in each class), the function will grow
to acommodate the new record. def modify(self, key, value): This function modifies an existing
key-value pair into the table. If no record with matching key exists in the table, the function does
nothing and returns False. Otherwise,function modifies the existing value into the one passed into
the function and returns True. def remove(self, key): This function removes the key-value pair with
the matching key. If no record with matchi.
The document discusses functional programming concepts in Scala including creating immutable objects to represent rational numbers, using pattern matching to add rationals, and defining classes with private fields and auxiliary constructors while avoiding side effects through immutable and functional design. It provides examples of functional programming techniques like creating rational number objects that are immutable and can be freely passed around without risk of mutation, and defining methods as functions that take arguments instead of mutating object state.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
More Related Content
Similar to Excel functions, formulas, Prepared by singh institute RK Puram
The document provides solutions for common Excel lookup and matching problems using functions like VLOOKUP, INDEX, MATCH, IF, and more. It gives examples of formulas to:
1) Look up a value in a table and return multiple corresponding values if there are multiple matches, instead of just the first match.
2) Find the text in one sheet that matches each number in another sheet using VLOOKUP and IF functions.
3) Retrieve values from one table by matching pairs of items and types from another table using INDEX and MATCH functions.
The document provides examples and explanations for various lookup and matching challenges in Excel.
This document provides an overview of various functions and features in Excel for performing data analysis and visualization. It discusses reading data into Excel from different file formats, as well as predefined and advanced functions for calculations, text manipulation, lookups, logical operations, statistics, and more. Conditional formatting and custom formatting are described for visualizing data. The document also covers creating charts in Excel, performing statistical analysis, analyzing data with pivot tables, and using filters, slicers, grouping, and custom calculations with pivot tables.
This document provides an overview of key aspects of Microsoft Excel including its features, file formats, navigation keys, worksheets, formatting, cells and ranges, formulas, functions, and error values. It describes Excel's abilities for number crunching, creating charts and graphs, organizing lists, and accessing other data. It also outlines the basic components of formulas in Excel including operators, cell references, values/text, and functions. Finally, it provides examples of commonly used functions like SUM, AVERAGE, VLOOKUP, and COUNTIF.
This document provides an overview of using formulas and functions in Excel 2007, including mathematical operators, cell references, common functions like SUM and IF, finding the right function, fixing errors, naming cells, and other tips. Key topics covered are basic formulas, relative and absolute cell references, using functions, the IF function, displaying formulas, the function library, and identifying common errors. Users will learn the basics of working with formulas and functions in Excel.
This document provides instructions for three methods to add dashes to phone numbers in Excel:
1. Use a REPLACE formula to insert dashes at specific character positions.
2. Use the TEXT formula with a phone number format mask to automatically add dashes.
3. Select the phone numbers and use the Format Cells feature to apply a built-in phone number format.
1. SQL is a language used to query, analyze, and manipulate data from databases. It is one of the most widely used tools for working with data.
2. The question provides a sample table called "airbnb_listings" with columns for id, city, country, number_of_rooms, and year_listed.
3. SQL can filter data by specifying conditions in a WHERE clause. Examples filter the listings table to return rows where the number_of_rooms is greater than or equal to 3, or where number_of_rooms is greater than 3.
Use of Excel Spreadsheets in Computing GradesElli May Cañas
This document discusses using Excel to compute grades. It explains how Excel formulas can be used to automatically calculate totals, averages, dropped scores, and weighted averages. Common functions like SUM, AVERAGE, MIN, and COUNT are described. Conditional logic and lookup functions like IF, AND, OR, ISBLANK, and VLOOKUP allow Excel to perform different calculations based on cell values. The document provides examples of formulas to calculate class averages that drop scores, apply weighting, and perform letter grade conversions using lookup tables.
The document discusses tuples, lists, and dictionaries in Python. Tuples are immutable sequences that are created using parentheses. Lists are mutable sequences that can be modified using methods like append(). Dictionaries are collections of key-value pairs that are indexed by keys and allow for adding, updating and deleting elements. Both lists and tuples can be traversed using for loops, while dictionaries are traversed by their keys.
The document provides an overview of various tools and functions in Excel including lookups, pivots tables, filters, scenario managers, hyperlinks, conditional formatting, macros, and auditing tools. It discusses the purpose and basic usage of each with examples. Key tips are provided such as anchoring cells in formulas, using shortcuts, and resources for finding additional help online through Microsoft or YouTube.
Here are a few ways to find the highest, second highest, etc. values in a column in Excel:
1. Use the LARGE function:
- To find the highest value: =LARGE(A1:A10,1)
- To find the second highest value: =LARGE(A1:A10,2)
- And so on, increasing the second argument by 1 each time
2. Use the SMALL function (opposite of LARGE):
- To find the second highest value: =SMALL(A1:A10,2)
- To find the third highest value: =SMALL(A1:A10,3)
3. Sort
This document discusses Excel tables, pivot tables, and the VLOOKUP function. It begins by introducing Troy Boileau and his company Powered By Search, a digital marketing agency. It then outlines the following sections: Using VLOOKUP, which explains how to use the VLOOKUP function; Proper Table Use, which discusses best practices for structuring data in tables; Fun With Pivot Tables, an overview of pivot tables and their functionality; and two case studies applying VLOOKUP and pivot tables. The document provides examples and explanations of how to implement these Excel features to analyze and visualize data.
This document provides an overview of advanced functions, conditional formatting, and filtering in Excel. It discusses how to use logical functions like IF, AND, OR to evaluate conditions. It also covers looking up values with VLOOKUP, highlighting duplicates, summarizing data with COUNTIF/SUMIF/AVERAGEIF, and using advanced filters and database functions to analyze data based on criteria. The objectives are to learn how to evaluate single and multiple conditions, nest IF functions, look up values, highlight errors/duplicates, summarize data conditionally, and filter data in advanced ways.
The document provides details of an assignment submitted by Rohit Singh for the course ITM Lab (MS-151) to his instructor Ms. Ritu Bansal. The assignment involves creating directories and files in a hierarchy using DOS commands, and performing operations like renaming files, copying files between directories, deleting directories etc. It also provides questions asking the student to write DOS commands for operations like displaying date and time, creating and listing files and directories, copying files between directories etc.
HANDOUT for this is available at http://i-digitals.blogspot.com/2011/08/using-excel-to-manage-student-grade.html
This workshop is an introduction to basic Excel formulas and functions. The emphasis is on the application of the software to manage student scores, and to calculate the letter grade for a class.
The document discusses various lookup functions in Microsoft Excel, including LOOKUP, HLOOKUP, INDEX, MATCH, and CHOOSE. It provides the syntax and purpose of each function. LOOKUP returns a value from a range based on a lookup value. HLOOKUP looks up a value in the top row and returns the value from the same column in a specified row. INDEX returns a value based on row and column numbers. MATCH locates the position of a lookup value. CHOOSE returns a value from a list using a given index position.
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2
37
-
-
K
K
30
2
37
-
-
K
K
� EMBED Equation.3 ���-5
� EMBED Equation.3 ���5
Sum=b
0
Product=a x c
1x (-25)
x2+0x-25=0 substitute the value of bx to facilitate factorization
The denominator is a constant term
(x2+5x)(-5x-25)=0
x (x+5)-5(x+5)=0
(x+5)(x-5) are the factors for the domain
All values of x in the expression are included as dividing by the domain will yield a solution
Thus D=� EMBED Equation.3 ���
� EMBED Equation.3 ���The Domain is Integer 2 which divides any factor in the numerator. We factorize the Numerator to obtain the factors.
� EMBED Equation.3 ���-6
� EMBED Equation.3 ���5
Sum=b
-1
Product=a x c
1x (-30)
k2+5k-6k-30=0 substitute the value of bx to facilitate factorization
(k2+5k)(-6k-30)=0
k (k+5)-6(k+5)=0
(k+5)(k-6) are the factors for the domain
k=-5 and k=6 are the excluded values in the expression since they will equal 0 in any range of values.
Thus D={K:K� EMBED Equation.3 ���� EMBED Equation.3 ���,K� EMBED Equation.3 ���(-5) ,k� EMBED Equation.3 ���6}
L
� EMBED Equation.3 ���Factorizing the domain in the form we find factors:
Â
2
25
2
-
x
30
2
37
-
-
K
K
30
2
37
-
-
K
K
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30
2
37
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K
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_1071350467.unknown
_1071351244.unknown
_1071350591.unknown
_1071350663.unknown
_1071348848.unknown
INSTRUCTOR GUIDANCE EXAMPLE: Week One Discussion
Domains of Rational Expressions
Students, you are perfectly welcome to format your math work just as I have done in
these examples. However, the written parts of the assignment MUST be done about
your own thoughts and in your own words. You are NOT to simply copy this wording
into your posts!
Here are my given rational expressions oh which to base my work.
25x2 – 4
67
5 – 9w
9w2 – 4
The domain of a rational expression is the set of all numbers which are allowed to
substitute for the variable in the expression. It is possible that some numbers will not be
allowed depending on what the denominator has in it.
In our Real Number System division by zero cannot be done. There is no number (or
any other object) which can be the answer to division by zero so we must simply call the
attempt “undefined.” A denominator cannot be zero because in a rational number or
expression the denominator divides the numerator.
In my first expression, the denominator is a constant term, meaning there is no variable
present. Since it is impossible for 67 to equal zero, there are no excluded values for the
domain. We can say the domain (D) is the set of all Real Numbers, written in set
notation that would look like this:
D = {x| x ∈ ℜ} or even more simply as D = ℜ.
For my second expression, I need to set the denominator equal to zero to find my
excluded values for w.
9w2 – 4 = 0 I notice this is a difference of squares which I can factor.
(3w – 2)(3w + 2) = 0 Set each factor equal to zero.
3w – 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides.
Due November 22 2021 This assignment is worth 20 of your .pdfabibagschennai
Due: November 22, 2021 This assignment is worth 20% of your final grade. Late penalties - up to
1 week late - 10% - 10% per day there after to a maximum of 50% Assignment Completion In
order to for this assignment to be considered completed you must submit: - a completed analysis
of functions listed for (part A) - a successful run for part C (green check for part C in actions) Note:
Assignment completion is the minimum requirements for your assignment. It does not mean you
will receive full marks. Assignment Objectives: In this assignment, you will: - Complete an analysis
of multiple related functions for a class - Implement hash tables Restrictions As this assignment is
about implementing data structures, you are not allowed to make use of any python libraries or
use builtin python data structures and functions unless otherwise stated. Overview In this
assignment you will look at several implementations of a Table. There are three tasks:1. Analyze
the member functions of the class SortedTable (code for this is provided below). This table is
created using a sorted list. It is not necessarily implemented well. You will analyze the listed
functions. 2. Offer suggestions on how to make the SortedTable more efficient. After analyzing the
functions, look at how it is done and come up with some changes that will make the code more
efficient 3. Implement a Hash table - using chaining for collision resolution - using linear probing
for collision resolution Table functions overview We will explore 3 ways to implement a Table.
Each method will have a different internal structure but the functionality will be the same. A table
stores a set of key-value pairs which are also referred to as records The following specification
describes an overview of the general functionalities of the table but it does not specify any
specifics in terms of implementation. In otherwords, it describes what it can do but doesn't specify
any internal data strctures [ text { def _init_(self, capacity }=32 text { ) : } ] The initializer for the
table defaults the initial table capacity to 32. It creates a list with capacity elements all initialized to
None. def insert(self, key, value): This function adds a new key-value pair into the table. If a record
with matching key already exists in the table, the function does not add the new key-value pair and
returns False. Otherwise, function adds the new key-value pair into the table and returns True. If
adding a record will cause the table to be "too small" (defined in each class), the function will grow
to acommodate the new record. def modify(self, key, value): This function modifies an existing
key-value pair into the table. If no record with matching key exists in the table, the function does
nothing and returns False. Otherwise,function modifies the existing value into the one passed into
the function and returns True. def remove(self, key): This function removes the key-value pair with
the matching key. If no record with matchi.
The document discusses functional programming concepts in Scala including creating immutable objects to represent rational numbers, using pattern matching to add rationals, and defining classes with private fields and auxiliary constructors while avoiding side effects through immutable and functional design. It provides examples of functional programming techniques like creating rational number objects that are immutable and can be freely passed around without risk of mutation, and defining methods as functions that take arguments instead of mutating object state.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...NelTorrente
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How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
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How to Add Chatter in the odoo 17 ERP ModuleCeline George
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2. Agenda
• Welcome & Introductions
• Lookup and Reference Functions
• Logical Functions
• Conditional Math Functions
• Data Validation and Field Protection
• Time for Review
4. Excel Functions
• Excel functions find, calculate, and manipulate data
• Excel has over 300 built-in functions
5. The LEN (Length) Function
• Used to find long text entries
• Counts total number of characters in a cell
• Returns a number
=LEN(TEXT)
6. Lookup Functions
• Use MATCH to find a location in a table
=MATCH(Value,Array,Match Type)
• Use VLOOKUP to return data from a table
=VLOOKUP(Value,Array,Column Number, Approximate?)
7. The MATCH Function
Look for related data in another table, and return the position
=MATCH(Lookup_Value,Lookup_Array,Match Type)
A B C
1
2
3
A B
1 Math Biology
2 English History
=MATCH(“English”,B2:B3,0)
Returns 2
8. A Word About Match Type
Match Type can be one of three values:
• 0 = Exact Match
• 1 = Find the largest value less than “Value”
(Must be in ascending order)
• -1 = Find the smallest value greater than “Value”
(Must be in descending order)
9. Using the MATCH Function
• Does A2 have a corresponding
value in the Photos worksheet,
column A?
• Values have to be an exact
match (0)
=MATCH(A2,Photos!A$2:A$427,0)
Returns 1
Students Worksheet
Photos Worksheet
10. The VLOOKUP Function
Look for related data in the first column of a table, and
return the value from another specified column
A B C
1
2
3
A B
1 Math Biology
2 English History
=VLOOKUP(1,A2:C3,3,FALSE)
Returns “Biology”
=VLOOKUP(Value,Array,Column Number,Approximate?)
11. Using the VLOOKUP Function
Lookup_Value is the value you're searching for
Table_Array is the range of cells you’re searching in,
with the matching value contained in column 1 and
other columns containing values to be returned
Col_Index_Num is the number of the column in the
Table_Array you want to return
TRUE is for an approximate match, FALSE is for an
exact match
=VLOOKUP(Value,Array,Column Number,Approximate?)
16. Grades and Lookups
• Start with the lowest possible
value in the Grade column
• Use the minimum value for
each range
• Sort rows in ascending order
• Make sure to account for the
uppermost value
Grade
Letter
Grade
Gr. Pts.
0 F 0.00
60 D- 0.67
61 D 1.00
69 D+ 1.33
70 C- 1.67
77 C 2.00
78 C+ 2.33
80 B- 2.67
82 B 3.00
87 B+ 3.33
90 A- 3.67
93 A 4.00
17. No More Dollar Signs!
• Use Named Ranges to make
referring to a table easier
- Names cannot have more
than 255 characters
- Names cannot have spaces
• Select the cells, then enter the
name
18. • Match a percentage to its letter grade
• Now that you have a named range, use it instead of having to
spell out the cells
• Since you're matching specific values to another value that is
less than or equal to it, use TRUE instead of FALSE
=VLOOKUP(G2,grades_list,2,TRUE)
Use VLOOKUP to Find Grades
19. VLOOKUP Limitation
• For VLOOKUP to work, the value you are looking for must be in
the first column
• Re-ordering the columns is one way to make it work, but the
INDEX function is quicker
20. INDEX to the Rescue!
Returns the value of the intersection of a
row and a column from a table
=INDEX(Table,Row Number,Column Number)
A B C
1
2
3
A B
1 Math Biology
2 English History
=INDEX(B2:C3,2,1)
Returns “English”
21. Look Up Values in Any Column with
INDEX/MATCH
In the INDEX function, define a table
For the row, use a MATCH function to define the
matching column and return the row
Use FALSE, since you want an exact match
Specify the column number that contains the value you
want returned
22. In the INDEX function, define a table
=INDEX(Photos!A$2:D$427
Formula in
this cell
Reverse Lookup Photos
26. Now It’s
Your Turn
Complete hands-on
activities 1-4:
Finding Course Names
that Are Too Long
Finding Missing Records
Using the MATCH
Function
What if You Have Three
Lists?
Matching a SectionID to a
Course Number and
Course Name
27. Now It’s
Your Turn
Complete hands-on
activities 5-8:
Matching a Grade to a
Letter Grade
No More Dollar Signs in
Your Functions!
Look Up the Grade Points
Associated with a
Percentage
Reverse Lookup
29. The IF Function
• The first argument is the test; does D2 equal Caucasian?
• The second argument is what you want to see if the test is
true: "Non-Minority"
• The third argument is what you want to see if the test is false:
"Minority"
=IF(D2=Caucasian,”Non-Minority”,”Minority”)
=IF(Logic Test,True Value,False Value)
30. The AND Function
• Test for multiple conditions (255 max)
• Every condition has to be true for the result to return TRUE
• To test for students who are both American-Indian and female,
the formula is:
=AND(Logic Test1,Logic Test2,...)
=AND(D2="American-Indian",E2="Female")
31. Using IF with the AND function
• The AND function by itself returns TRUE or FALSE only
• Use the IF function, along with the AND function, to control the
message:
=IF(AND(D2="American-Indian",E2="Female"),
"Eligible","Not Eligible")
32. The OR Function
• Test for multiple conditions (255 max), just like AND
• Only one of the conditions has to be true for the result to
be TRUE
• To test for students who are an ethnic minority or female,
the formula is:
=OR(Logic Test1,Logic Test2,...)
=OR(F2="Minority",E2="Female")
33. Using IF with the OR Function
• Just like the AND function, the OR function by itself can only
return TRUE or FALSE
• Use the IF function to customize the message:
=IF(OR(F2="Minority",E2="Female"),
"EEOC Group","Non-EEOC Group")
34. Change the Missing Pictures Message
• In the earlier example, the pictures that weren't found
returned the value #N/A
• To get rid of that error message, use the ISNA function:
=ISNA(MATCH(A2,Photos!A$2:A$427,FALSE))
=ISNA(VALUE)
35. What Happened?!
• The pictures that are missing are showing the word TRUE
• The pictures that are not missing are showing the word FALSE
36. Reverse the Polarity
• By using the NOT function, you can change the TRUE cells to
FALSE, and the FALSE cells to TRUE
• The revised formula is:
=NOT(ISNA(MATCH(A2,Photos!A$2:A$427,FALSE)))
37. Now It’s
Your Turn
Complete hands-on activities 9–14:
The IF Function
The AND Function
Change TRUE or FALSE to a More
Meaningful Message
The OR Function
Combining the IF and OR Functions
Missing Pictures, Part 2
39. Conditionally Summing Values
• SUM cells IF they meet a condition
• The cells you're checking and the cells you're summing can
be different
=SUMIF(A2:A196,"Art Supplies",B2:B196)
=SUMIF(Criteria Range,Criteria,Sum Range)
40. Find Only Art Supplies Fees
Select the Criteria Range: Fee Type
Define the Criteria: Art Supplies
Select the Sum Range: Fee Amount
44. A Test to Make Sure It Works
1. Turn on AutoFiltering
2. Filter Fee Type for “Art Supplies”
45. A Test to Make Sure It Works
1. Select all of the Art Supplies fees
2. Check the Status Bar at the bottom
of the screen for a quick sum
125.00
46. Finding Duplicate Records
• Count only cells that meet a specified condition
• Find duplicate records (look for cell values that show up
more than once)
• If no unique value exists, join together the individual pieces
of data
=COUNTIF(I$2:I$73,I2)
=COUNTIF(Range,Criteria)
47. Find Duplicate Enrollments
Make a unique field
Use the COUNTIF function; the first argument is the
range of cells
The second argument is the value to look for
Add an IF statement—Does it appear more than once?
Flag records that show up more than once as possible
duplicates
48. =A2&" "&D2&" "&MONTH(G2)&MONTH(H2)
• A2 is the course number
• D2 is the student number
• MONTH(G2) is the numeric month of the DateEnrolled
• MONTH(H2) is the numeric month of the DateLeft
49. I$2:I$73 is the range of cells where the unique values are listed
=COUNTIF(I$2:I$I$73
50. I2 is the current value
=COUNTIF(I$2:I$I$73,I2)
51. Does the value show up more than once?
=IF(COUNTIF(I$2:I$I$73,I2)>1),
68. False!
Use the IF function to return
different values based on a
Logical Test.
Answer 5
69. Key Points from Today’s Class
• When using lookup and reference functions,
use TRUE for an approximate match and
FALSE for an exact match
• When used with such functions as AND, OR,
and NOT, the IF function is a powerful tool
• When using SUMIF or COUNTIF, make sure to
use dollar signs in the first argument to keep
the criteria the same, or use named ranges