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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>

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>

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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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