Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ez") at the point (0, 5). !!

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Let z =
g(x, y) = f(3 cos(ry), y + e) provided that
f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3.
i) Find g1 (0, 5).
ii) Find g2 (0, 5).
iii) Find the equation of the tangent plane to the surface
z = f(3 cos(ry), y + e=") at the point (0, 5).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 5).
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