Explanation Given information: The given statement “If R ( w ) = w 3 then R ' ( − 2 ) is negative”. Calculation: The given function is R ( w ) = w 3 Since for f ( x ) = x n , f ' ( x ) = n x n − 1 The derivative of R ( w ) is as follows,

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 2, Problem 9SYU

To determine

To indicate:

Whether the statement is true or false.

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Chapter 2, Problem 8SYU

Chapter 2, Problem 10SYU

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(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

(12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such that (x, y, z) (psin cos 0, psin sin 0, p cos) € E. (b) (8 points) Calculate the integral E xyz dV using spherical coordinates.

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.

Chapter 2 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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To indicate: Whether the statement is true or false.

Solution Summary: The author explains that the given statement "If R(w)=w