Essential Calculus: Early Transcendentals
2nd Edition
ISBN: 9781133112280
Author: James Stewart
Publisher: Cengage Learning
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Chapter A, Problem 64E
To determine
To evaluate: The expression
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2. We want to find the inverse of f(x) = (x+3)²
a. On the graph at right, sketch f(x).
(Hint: use what you know about
transformations!) (2 points)
b. What domain should we choose to
get only the part of f (x) that is one-
to-one and non-decreasing? Give
your answer in inequality notation. (2
points)
-
c. Now use algebra to find f¯¹ (x). (2
points)
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2
1
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-3
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-1
0
1
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3
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1. Suppose f(x) =
2
4
==
x+3
and g(x) = ½-½. Find and fully simplify ƒ(g(x)). Be sure to show all
x
your work, write neatly so your work is easy to follow, and connect your expressions
with equals signs. (4 points)
Find the ane
sided limit
lim 2
x+1-3x-3
Chapter A Solutions
Essential Calculus: Early Transcendentals
Ch. A - Prob. 1ECh. A - Convert from degrees to radians. 300Ch. A - Convert from degrees to radians. 9Ch. A - Convert from degrees to radians. 315Ch. A - Convert from degrees to radians. 900Ch. A - Convert from degrees to radians. 36Ch. A - Convert from radians to degrees. 4Ch. A - Convert from radians to degrees. 72Ch. A - Convert from radians to degrees. 512Ch. A - Convert from radians to degrees. 83
Ch. A - Convert from radians to degrees. 38Ch. A - Convert from radians to degrees. 5Ch. A - Find the length of a circular arc subtended by an...Ch. A - If a circle has radius 10 cm, find the length of...Ch. A - A circle has radius 1.5 m. What angle is subtended...Ch. A - Find the radius of a circular sector with angle...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the remaining trigonometric ratios. sin=35,02Ch. A - Find the remaining trigonometric ratios. tan=2,02Ch. A - Find the remaining trigonometric ratios. sec=1.5,2Ch. A - Find the remaining trigonometric ratios....Ch. A - Find the remaining trigonometric ratios. cot=3,2Ch. A - Find the remaining trigonometric ratios....Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Prove each equation. (a) Equation 10a (b) Equation...Ch. A - Prove each equation. (a) Equation 14a (b) Equation...Ch. A - Prove each equation. (a) Equation 18a (b) Equation...Ch. A - Prove the identity. cos(2x)=sinxCh. A - Prove the identity. sin(2+x)=cosxCh. A - Prove the identity. sin(x)=sinxCh. A - Prove the identity. sincot=cosCh. A - Prove the identity. (sinx+cosx)2=1+sin2xCh. A - Prove the identity. secycosy=tanysinyCh. A - Prove the identity. tan2sin2=tan2sin2Ch. A - Prove the identity. cot2+sec2=tan2+csc2Ch. A - Prove the identity. 2csc2t=sectcsctCh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56ECh. A - Prob. 57ECh. A - Prob. 58ECh. A - Prob. 59ECh. A - Prob. 60ECh. A - Prob. 61ECh. A - Prob. 62ECh. A - Prob. 63ECh. A - Prob. 64ECh. A - Prob. 65ECh. A - Prob. 66ECh. A - Prob. 67ECh. A - Prob. 68ECh. A - Prob. 69ECh. A - Prob. 70ECh. A - Prob. 71ECh. A - Prob. 72ECh. A - Prob. 73ECh. A - Prob. 74ECh. A - Prob. 75ECh. A - Prob. 76ECh. A - Prob. 77ECh. A - Prob. 78ECh. A - Prob. 79ECh. A - Prob. 80ECh. A - Prob. 81ECh. A - Prob. 82ECh. A - Prob. 83ECh. A - Prob. 84ECh. A - Prob. 85ECh. A - Prob. 86ECh. A - Prob. 87ECh. A - Prob. 88ECh. A - Find the area of triangle ABC, correct to five...
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