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AP Calculus September 29th 2008
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AP Calculus September 29th 2008
This document appears to be a list of exercises from a section of a larger work. It includes exercises 1, 2, 3, 5, 10a, 11, 12, 14, 15, and 17 from Section 2.2.
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Triangles are the topic of the document. It discusses area problems and motion problems related to triangles. The document focuses on calculating areas and analyzing motion within triangle geometry.
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The document discusses the definite integral. It uses rectangles to approximate the area under a curve between two bounds, and taking the limit as the number of rectangles approaches infinity gives the exact area, known as the definite integral. The definite integral allows us to calculate the area under a curve over a bounded region and has many applications in physics, engineering, and other fields.
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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.
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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.
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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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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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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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Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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