Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point (2,8,2). a. r(t) = <36.000,  0.576,  0.500> + t <2,8,2> b. r(t) = <2,8,2> + t <36.000,  0.576,  0.500> c. r(t) = <2,8,2> - t <36.000,  0.576,  0.500> d. r(t) = <36.000,  0.576,  0.500> - t <2,8,2>

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point (2,8,2).

a.
r(t) = <36.000,  0.576,  0.500> + t <2,8,2>
b.
r(t) = <2,8,2> + t <36.000,  0.576,  0.500>
c.
r(t) = <2,8,2> - t <36.000,  0.576,  0.500>
d.
r(t) = <36.000,  0.576,  0.500> - t <2,8,2>
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