Pc 4.5 notes
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The document discusses the characteristics of sine and cosine parent functions, including their periods and amplitudes. It provides examples of finding the period and amplitude of functions and graphing multiple periods. Students are assigned problems analyzing sine and cosine graphs, finding periods and amplitudes, and graphing multiple periods of transformed sine and cosine functions.
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This document provides instructions for graphing sine and cosine functions. It notes the difference between (bx-c) and b(x-c) and provides examples of graphing 3 periods of different sine and cosine functions. The document also lists homework problems from page 328 involving graphing sine and cosine functions.
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Pc 4.5 notes_graphing
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Pc 2.2 b_notes
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Mathematical modeling and variation describes direct, inverse, and joint variation. Direct variation means that as one variable increases, the other increases proportionally. Inverse variation means that as one variable increases, the other decreases proportionally. Joint variation occurs when two variables increase or decrease together but not necessarily at the same rate.
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Geo 1.6 notes
There are 4 main types of angles:
1) Acute angles are less than 90 degrees
2) Right angles are exactly 90 degrees
3) Obtuse angles are greater than 90 degrees but less than 180 degrees
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There are also 4 main angle pairs:
1) Adjacent angles
2) Vertical angles
3) Corresponding angles
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Lesson 1 operations slides notes
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1. The document derives sum and difference formulas for sine and cosine using the law of cosines, distance formula, and cofunction relationships.
2. These formulas allow rewriting angles as sums or differences of special angles from the unit circle, which can be used to find exact values of trigonometric functions.
3. Examples are provided to demonstrate applying the formulas to find exact trigonometric values or prove trigonometric identities. Practice problems are also included.
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7 6 the inverse trig functions
1. The document discusses finding values of inverse trigonometric functions by restricting their domains to make them one-to-one functions with inverses. It gives examples of restricting the domains of tan x, sin x, and cos x and finding the inverse values of tan-1(-1), sin-1(-1), and cos-1(-0.5) without using a calculator.
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The document discusses trigonometric angle formulas including:
- Difference-sum formulas for cosine and sine
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This document discusses using the Law of Sines to solve ambiguous triangle cases given two sides and a non-included angle (SSA). There can be 1, 2, or 0 solutions depending on whether the opposite side is greater than or less than the adjacent side. Examples are provided to practice solving SSA cases using the Law of Sines. Students are assigned a worksheet to practice solving ambiguous triangle cases.
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Quino fue un famoso dibujante argentino conocido por su personaje Mafalda. Este breve documento rinde homenaje al trabajo e influencia de Quino.
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This document provides instruction on using trigonometric ratios to find missing sides or angles of right triangles. It defines the sine, cosine, and tangent ratios, and gives examples of using them to solve for unknown side lengths or angles. Students are assigned a worksheet to complete problems using trigonometric ratios to find missing parts of right triangles.
Pc 4.3 notes
This document discusses the 6 trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) and how to find them for a given triangle. It also covers cofunction properties where complementary angles add up to 90 degrees and how to use trigonometric identities to solve equations. There are examples provided of finding missing sides and angles of triangles and solving for variables using trigonometric functions and identities.
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This document contains instructions to convert expressions between polar and rectangular coordinate systems in 3 steps. It asks the reader to convert an expression to polar coordinates, then back to rectangular coordinates, and finally again to rectangular coordinates.
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This document discusses sum and difference formulas for trigonometric functions. It provides examples of finding the exact values of trigonometric functions like sin(75°), tan(105°), and cos(11π/12). It also gives examples of using the sum and difference identities, like evaluating cos(78°)cos(18°) + sin(78°)sin(18°) and verifying trigonometric equations. Students are assigned problems from page 404 involving applying sum and difference formulas to evaluate trigonometric functions without a calculator.
Pc 2.2 b_notes
To graph a polynomial function, you must:
1) Test intervals to determine where the function changes signs and is entirely positive or negative between values.
2) Apply end behavior to sketch the basic shape of the graph.
3) Find additional points using a calculator to get a better graph.
4) Draw the complete graph connecting all points. Examples are included and practice problems are assigned from the textbook.
Pc 5.1 notes
This document discusses using trigonometric identities to find all six trigonometric functions given values of some of the functions. It provides examples of using identities to find the other trig functions when given csc x and cos x, and examples of factoring trigonometric expressions. Students are assigned problems from the textbook involving using identities and factoring trigonometric expressions.
Pc 1.10 notes
Mathematical modeling and variation describes direct, inverse, and joint variation. Direct variation means that as one variable increases, the other increases proportionally. Inverse variation means that as one variable increases, the other decreases proportionally. Joint variation occurs when two variables increase or decrease together but not necessarily at the same rate.
Geo 8.1 notes_pythag
1) The document discusses the Pythagorean theorem and how to use it to solve right triangles when given two sides and classify triangles as right, acute, or obtuse.
2) It provides examples of using the Pythagorean theorem to solve for the unknown side of a right triangle and to classify triangles as right, acute, or obtuse based on their sides.
3) The document contains practice problems for students to solve for unknown sides of right triangles using the Pythagorean theorem and to classify triangles as right, acute, or obtuse on their own.
VIP Buyer Presentation
The document describes services offered by home buying specialists to help clients find the best home. It promises to help clients find the right home for their needs, negotiate the lowest price, secure the best financing, and meet home buying needs with minimal hassle at no cost. It outlines a three step system to pre-approve clients for a home loan, match them to listings using a buyer profile, and help make offers and negotiate terms using specialized knowledge.
Pc 3.2 notes
This document provides a math assignment with problems #23 p. 236 #4, 6, 12, 14, 18-21, 25, 31, 33, 45, 56, 70, 71, 76, 80, 81 from a textbook. It also lists that the answers for problem set #22 are included.
Geo 1.6 notes
There are 4 main types of angles:
1) Acute angles are less than 90 degrees
2) Right angles are exactly 90 degrees
3) Obtuse angles are greater than 90 degrees but less than 180 degrees
4) Straight angles are exactly 180 degrees
There are also 4 main angle pairs:
1) Adjacent angles
2) Vertical angles
3) Corresponding angles
4) Interior angles
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#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
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In this second installment of our Essentials of Automations webinar series, we’ll explore the landscape of triggers and actions, guiding you through the nuances of authoring and adapting workspaces for seamless automations. Gain an understanding of the full spectrum of triggers and actions available in FME, empowering you to enhance your workspaces for efficient automation.
We’ll kick things off by showcasing the most commonly used event-based triggers, introducing you to various automation workflows like manual triggers, schedules, directory watchers, and more. Plus, see how these elements play out in real scenarios.
Whether you’re tweaking your current setup or building from the ground up, this session will arm you with the tools and insights needed to transform your FME usage into a powerhouse of productivity. Join us to discover effective strategies that simplify complex processes, enhancing your productivity and transforming your data management practices with FME. Let’s turn complexity into clarity and make your workspaces work wonders!
Presentation of the OECD Artificial Intelligence Review of Germany
Consult the full report at https://www.oecd.org/digital/oecd-artificial-intelligence-review-of-germany-609808d6-en.htm
“I’m still / I’m still / Chaining from the Block”
“An Outlook of the Ongoing and Future Relationship between Blockchain Technologies and Process-aware Information Systems.” Invited talk at the joint workshop on Blockchain for Information Systems (BC4IS) and Blockchain for Trusted Data Sharing (B4TDS), co-located with with the 36th International Conference on Advanced Information Systems Engineering (CAiSE), 3 June 2024, Limassol, Cyprus.
Securing your Kubernetes cluster_ a step-by-step guide to success !
Today, after several years of existence, an extremely active community and an ultra-dynamic ecosystem, Kubernetes has established itself as the de facto standard in container orchestration. Thanks to a wide range of managed services, it has never been so easy to set up a ready-to-use Kubernetes cluster.
However, this ease of use means that the subject of security in Kubernetes is often left for later, or even neglected. This exposes companies to significant risks.
In this talk, I'll show you step-by-step how to secure your Kubernetes cluster for greater peace of mind and reliability.
Artificial Intelligence for XMLDevelopment
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
Climate Impact of Software Testing at Nordic Testing Days
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
Mind map of terminologies used in context of Generative AI
Mind map of common terms used in context of Generative AI.
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Pc 4.5 notes
- 1. 4.5 Graphing Sine and Cosine Functions Essential Question: What are the characteristics of the parent functions for sine and cosine? 1
- 2. Here's why… 2
- 3. Note: There is a difference between: ﴾bx–c﴿ and b﴾x–c﴿ 3
- 8. 8
- 9. 9