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Let z = g(r, y) = f(3 cos(ry), y + e=y) provided that f(3, 5) = 8, fi(3, 5) = 2, f2(3, 5) = 3. i) Find g, (0, 4). i) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ezv) at the point (0, 4). %3D

Let z = g(r, y) = f(3 cos(ry), y + e=y) provided that f(3, 5) = 8, fi(3, 5) = 2, f2(3, 5) = 3. i) Find g, (0, 4). i) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ezv) at the point (0, 4). %3D

Trigonometry (MindTap Course List)
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, 5) = 8, f1(3, 5) = 2, f2(3, 5) = 3. %3D i) Find g1 (0, 4). ii) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=v) at the point (0, 4).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 5) = 8, f1(3, 5) = 2, f2(3, 5) = 3. %3D i) Find g1 (0, 4). ii) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=v) at the point (0, 4).
• In the questions i and j denote the standard basis vectors in R?, i.e. i =< 1,0 > and j =< 0,1 > • If the question is about vectors in R³, then i =< 1,0,0 >, j =< 0,1,0 > and k =< 0,0, 1 >.
Transcribed Image Text:• In the questions i and j denote the standard basis vectors in R?, i.e. i =< 1,0 > and j =< 0,1 > • If the question is about vectors in R³, then i =< 1,0,0 >, j =< 0,1,0 > and k =< 0,0, 1 >.
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