A bug is crawling along the surface defined by r3 + y?z - 23 = 5. The bug is currently at the point(2, -2, –1).(a) If the bug moves along the surface by increasing its y-coordinate and keeping r = 2, then howquickly is its z-coordinate changing?(b) If, instead, the bug moved from (2,-2, -1) along the surface by increasing its z-coordinate, andkeeping y = -2, then how quickly is its r-coordinate changing?

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A bug is crawling along the surface defined by a +yz - z3 = 5. The bug is currently at the point (2, –2, –1). (a) If the bug moves along the surface by increasing its y-coordinate and keeping a = 2, then how quickly is its z-coordinate changing? (b) If, instead, the bug moved from (2,-2,-1) along the surface by increasing its z-coordinate, and keeping y = -2, then how quickly is its r-coordinate changing?

A bug is crawling along the surface defined by a +yz - z3 = 5. The bug is currently at the point (2, –2, –1). (a) If the bug moves along the surface by increasing its y-coordinate and keeping a = 2, then how quickly is its z-coordinate changing? (b) If, instead, the bug moved from (2,-2,-1) along the surface by increasing its z-coordinate, and keeping y = -2, then how quickly is its r-coordinate changing?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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