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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.4 - Problem 38
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.4 - Problem 38

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# Solved: 3740. Different axes of revolution Use either the

ISBN: 9780321947345 167

## Solution for problem 38 Chapter 6.4

Calculus: Early Transcendentals | 2nd Edition

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Problem 38

3740. Different axes of revolution Use either the washer or shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y = x2, y = 1, and x = 0 is revolved about the following lines. x = -1

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Calculus notes for the week of 10/3/16 4.1 Maxima and Minima and 4.2 What Derivatives Tell Us 15 10 5 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -5 -10 -15 f has a local maximum at c if f(c) > f(x) for all x sufficiently close to c. f has a local minimum at c if f(c) < f(x) for all x sufficiently close to c. We see that, if f is differentiable at a local extremum (c), then f’(c) = 0. It is impossible that f is not differentiable at a local extremum. Definition: f has a critical point at x if f ’(x) = 0 or f ’(x) DNE. Coordinates for local extremum will be critical points. We see that, if f ‘(x) is negative on an interval I, then f is decreasing on I. If f ‘(x) is positive on an interval I, then f is

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