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Pre-Cal 20S September 18, 2004
The document describes the process for a pre-test on polynomials and factoring. It states that students will spend 20 minutes individually completing the pre-test without calculators. They will then spend 10 minutes discussing the results in groups of three. Each group will submit one sheet of paper with their best answers. Remaining time will be used to go over unanswered questions as a class. The actual test on the material will take place the next day.
Quiz Corrections
The document is a short text that simply repeats the date "February 26, 2009" three times without providing any other context or information.
Pre-Cal 20S September 29th
The problem asks to find the length of DC given that AB is 3 units long, BC is 4 units long, and DE is 10 units long. The midpoint formula is used to find the coordinates of point B given that the midpoint M of AB is (1/2, 6) and the coordinates of A are (3, 7).
AP Calculus October 7th, 2008
The document discusses derivatives and second derivatives of functions. The first derivative f' of a function f assigns values to inputs where f is differentiable. The second derivative f'' can then be calculated by taking the derivative of the first derivative function f' and defines f''(a) using a formula involving limits.
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Pre-Cal 20S September 18, 2004
The document describes the process for a pre-test on polynomials and factoring. It states that students will spend 20 minutes individually completing the pre-test without calculators. They will then spend 10 minutes discussing the results in groups of three. Each group will submit one sheet of paper with their best answers. Remaining time will be used to go over unanswered questions as a class. The actual test on the material will take place the next day.
Quiz Corrections
The document is a short text that simply repeats the date "February 26, 2009" three times without providing any other context or information.
Pre-Cal 20S September 29th
The problem asks to find the length of DC given that AB is 3 units long, BC is 4 units long, and DE is 10 units long. The midpoint formula is used to find the coordinates of point B given that the midpoint M of AB is (1/2, 6) and the coordinates of A are (3, 7).
AP Calculus October 7th, 2008
The document discusses derivatives and second derivatives of functions. The first derivative f' of a function f assigns values to inputs where f is differentiable. The second derivative f'' can then be calculated by taking the derivative of the first derivative function f' and defines f''(a) using a formula involving limits.
Ap Calc Oct22
The document discusses the definite integral and how to estimate distances traveled from a velocity-time graph. It includes a table of velocity values and asks the reader to (1) sketch the velocity-time graph, (2) estimate the lower and upper distances traveled in 5 seconds, (3) estimate the actual distance traveled, and (4) represent the lower estimate as a shaded region on the graph. The document also asks why we began by looking at the picture of rectangles.
"On Purpose" Conference for Church Leaders
This one-day conference featured panels and presentations on social enterprises, energy efficiency, and sustainable agriculture for 21st century pastors and church leaders. The agenda included a morning keynote speaker, three panel discussions on jobs through social enterprises, energy efficient churches, and next-level food ministry. An afternoon keynote was also scheduled, followed by a networking session before the conclusion of the conference. The event aimed to provide inspiration and resources to help churches better serve their communities.
Applied Math 20S October 8th, 2008
This document provides instructions for students to transition from Investigation 1 to Investigation 2 in their science class, suggests making graph paper if none is available, and assigns homework of questions 1 through 6 on pages 207 to 209 for their teacher, Mrs. Karras, which is due tomorrow.
AP Calculus October 3rd, 2008
The document discusses finding the derivative of a function f(x) = x^2 at x = a in multiple ways. It lists methods such as the slope program, difference quotient, symmetric difference quotient, drawing the tangent line, using a numerical derivative program, and the limit definition of the derivative. The document provides instructions on deriving a derivative through various mathematical techniques.
AP Calculus October 6th, 2008
This document lists homework problems assigned from a textbook or class. The homework problems that were assigned are problems 1, 7, 9, 11, 15, 19, 22, 23, and 25.
Completing the Square
La ecuación original es y = x2 - 4x + 3, luego se agregan términos constantes para obtener y = x2 - 4x + 3 + 16x + 8 = x2 + 12x + 11. Finalmente, se factoriza como y = (x - 2)(x - 5) = 2x2 - 12x + 13.
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La Unión Europea ha acordado un paquete de sanciones contra Rusia por su invasión de Ucrania. Las sanciones incluyen restricciones a las importaciones de productos rusos clave como el acero y la madera, así como medidas contra bancos y funcionarios rusos. Los líderes de la UE esperan que las sanciones aumenten la presión económica sobre Rusia y la disuadan de continuar su agresión contra Ucrania.
The Gettysburg Address
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
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Probability04
The document discusses homework assignments involving using experiments and simulations to determine probabilities. The first assignment involves simulating a 6 question multiple choice test by guessing answers. The second asks to simulate a 10 question true/false test using coins to find the probability of scoring at least 70% by guessing. The third asks to find the probability of flipping 3 pennies and getting at least 1 head. Guidance is provided on using the calculator's randBin function and the Random.org website to perform the simulations.
Ch8 Lesson03
The document discusses volumes of revolution and provides formulas to calculate volumes. It mentions volumes can be found by rotating a function about the x-axis and using a function that represents the changing cross-sectional areas. The document also references homework problems and calculating the volume of a cone but provides minimal details or explanations.
Probability03
The document contains several math and probability word problems and examples presented as homework assignments. It provides the questions, working, and answers for problems involving Pascal's triangle, counting paths, probability, coin flipping, and spinners. The document is a collection of homework questions and solutions on topics of combinatorics, probability, and experimental vs theoretical probability.
Ch8 Lesson02
This document provides instructions for calculating the volumes of various 3D shapes using integrals. It discusses finding the volume of a revolving cube, calculating the area between curves, and using a function for the changing radii to determine the volume of a cone.
Transformations02
The document discusses translations and stretches of graphs, with sections on the role of parameters a and b in shifting graphs right or left (parameter a) and up or down (parameter b). It also covers stretches and compressions along the x and y axes depending on whether parameters a or b are greater than, less than, or between 0 and 1.
Ch8 Lesson01
A car leaves Winnipeg traveling east or west on a highway at 35 miles per hour. The document discusses using integrals to calculate how far the car is from Winnipeg after 4 hours, taking into account the car's average speed and time traveled. It provides some examples of potential velocity functions that could model the car's motion and notes the driver's poor driving abilities may impact the results.
Slides February 24th
The document discusses translations of graphs and functions. It provides examples of translating graphs by sliding them along the x-axis. It asks the reader to write equations representing translations of sine graphs based on given functions. It also asks the reader to write one function in terms of another after a translation. Homework assigned is to complete exercise 7 and encourages studying.
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The document discusses the definite integral and how to estimate distances traveled from a velocity-time graph. It includes a table of velocity values and asks the reader to (1) sketch the velocity-time graph, (2) estimate the lower and upper distances traveled in 5 seconds, (3) estimate the actual distance traveled, and (4) represent the lower estimate as a shaded region on the graph. The document also asks why we began by looking at the picture of rectangles.
"On Purpose" Conference for Church Leaders
This one-day conference featured panels and presentations on social enterprises, energy efficiency, and sustainable agriculture for 21st century pastors and church leaders. The agenda included a morning keynote speaker, three panel discussions on jobs through social enterprises, energy efficient churches, and next-level food ministry. An afternoon keynote was also scheduled, followed by a networking session before the conclusion of the conference. The event aimed to provide inspiration and resources to help churches better serve their communities.
Applied Math 20S October 8th, 2008
This document provides instructions for students to transition from Investigation 1 to Investigation 2 in their science class, suggests making graph paper if none is available, and assigns homework of questions 1 through 6 on pages 207 to 209 for their teacher, Mrs. Karras, which is due tomorrow.
AP Calculus October 3rd, 2008
The document discusses finding the derivative of a function f(x) = x^2 at x = a in multiple ways. It lists methods such as the slope program, difference quotient, symmetric difference quotient, drawing the tangent line, using a numerical derivative program, and the limit definition of the derivative. The document provides instructions on deriving a derivative through various mathematical techniques.
AP Calculus October 6th, 2008
This document lists homework problems assigned from a textbook or class. The homework problems that were assigned are problems 1, 7, 9, 11, 15, 19, 22, 23, and 25.
Completing the Square
La ecuación original es y = x2 - 4x + 3, luego se agregan términos constantes para obtener y = x2 - 4x + 3 + 16x + 8 = x2 + 12x + 11. Finalmente, se factoriza como y = (x - 2)(x - 5) = 2x2 - 12x + 13.
Gap Conductor
La Unión Europea ha acordado un paquete de sanciones contra Rusia por su invasión de Ucrania. Las sanciones incluyen restricciones a las importaciones de productos rusos clave como el acero y la madera, así como medidas contra bancos y funcionarios rusos. Los líderes de la UE esperan que las sanciones aumenten la presión económica sobre Rusia y la disuadan de continuar su agresión contra Ucrania.
The Gettysburg Address
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
How to Unlock Brand Storytelling
This document consists of 50 photos from various photographers on Flickr. The photos cover a wide range of subjects including people, nature, events, and more. There are photos from all over the world taken by photographers of different backgrounds.
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Probability04
The document discusses homework assignments involving using experiments and simulations to determine probabilities. The first assignment involves simulating a 6 question multiple choice test by guessing answers. The second asks to simulate a 10 question true/false test using coins to find the probability of scoring at least 70% by guessing. The third asks to find the probability of flipping 3 pennies and getting at least 1 head. Guidance is provided on using the calculator's randBin function and the Random.org website to perform the simulations.
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The document discusses volumes of revolution and provides formulas to calculate volumes. It mentions volumes can be found by rotating a function about the x-axis and using a function that represents the changing cross-sectional areas. The document also references homework problems and calculating the volume of a cone but provides minimal details or explanations.
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Ch8 Lesson01
A car leaves Winnipeg traveling east or west on a highway at 35 miles per hour. The document discusses using integrals to calculate how far the car is from Winnipeg after 4 hours, taking into account the car's average speed and time traveled. It provides some examples of potential velocity functions that could model the car's motion and notes the driver's poor driving abilities may impact the results.
Slides February 24th
The document discusses translations of graphs and functions. It provides examples of translating graphs by sliding them along the x-axis. It asks the reader to write equations representing translations of sine graphs based on given functions. It also asks the reader to write one function in terms of another after a translation. Homework assigned is to complete exercise 7 and encourages studying.
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The document discusses experimental and theoretical probability. Experimental probability is determined by repeated testing and observing results, calculated as the number of times an event occurred divided by the total number of tests. Theoretical probability is calculated under ideal circumstances based on possible outcomes. For a family with 3 children, the theoretical probability of having 2 girls can be calculated as the number of ways to have 2 girls (3 combinations) divided by the total possible outcomes (8 combinations). An example is also given of simulating a binomial experiment using a calculator to determine the probability of getting exactly 2 heads when flipping 3 coins 40 times.
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In a family with 3 children, the probability that 2 of the children will be girls can be calculated as follows:
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PreCal 20S October 30
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