Precalculus: A Unit Circle Approach
Precalculus: A Unit Circle Approach
2nd Edition
ISBN: 9780321825391
Author: Ratti
Publisher: PEARSON
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Chapter A.2, Problem 76E

In Exercises 61-108, factor each polynomial completely. If a polynomial cannot be factorized, state that it is irreducible.

76. 25 x 2 49

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Consider the function f(x) = x²-1. (a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative. Show all your steps clearly. (b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the graph where x 1 and x-> 1+h (for a small positive value of h, illustrate conceptually). Then, draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the value you found in part (a). (c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in the context of the graph of f(x). How does the rate of change of this function vary at different points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist, state that fact. и (a) f'(-5) (b) f'(-3) (c) f'(0) (d) f'(5) 2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5) = 4. - 3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2) and f'(2).
Does the series converge or diverge

Chapter A.2 Solutions

Precalculus: A Unit Circle Approach

Ch. A.2 - In Exercises 9-16, perform the indicated...Ch. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Prob. 34ECh. A.2 - Prob. 35ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 66ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 75ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 81ECh. A.2 - Prob. 82ECh. A.2 - Prob. 83ECh. A.2 - Prob. 84ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 86ECh. A.2 - Prob. 87ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 94ECh. A.2 - Prob. 95ECh. A.2 - Prob. 96ECh. A.2 - Prob. 97ECh. A.2 - Prob. 98ECh. A.2 - Prob. 99ECh. A.2 - Prob. 100ECh. A.2 - Prob. 101ECh. A.2 - Prob. 102ECh. A.2 - Prob. 103ECh. A.2 - Prob. 104ECh. A.2 - Prob. 105ECh. A.2 - Prob. 106ECh. A.2 - Prob. 107ECh. A.2 - Prob. 108ECh. A.2 - Prob. 109ECh. A.2 - Prob. 110ECh. A.2 - Prob. 111ECh. A.2 - Prob. 112ECh. A.2 - Prob. 113ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 116ECh. A.2 - Prob. 117ECh. A.2 - Prob. 118ECh. A.2 - Prob. 119ECh. A.2 - Prob. 120ECh. A.2 - Prob. 121ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 123ECh. A.2 - Prob. 124ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 126ECh. A.2 - Prob. 127ECh. A.2 - Prob. 128ECh. A.2 - Prob. 129ECh. A.2 - Prob. 130ECh. A.2 - Prob. 131ECh. A.2 - Prob. 132ECh. A.2 - Prob. 133ECh. A.2 - Prob. 134ECh. A.2 - Prob. 135ECh. A.2 - Prob. 136ECh. A.2 - Prob. 137ECh. A.2 - Prob. 138ECh. A.2 - Prob. 139ECh. A.2 - Prob. 140ECh. A.2 - Prob. 141ECh. A.2 - Prob. 142ECh. A.2 - Prob. 143ECh. A.2 - Prob. 144E
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