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). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 4).

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A: Given :            F(x, y, z) = x2 + 2x + y2 + z2 - 10             Point P0(1, 1, 1)

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A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

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A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: Let z g(x, y) = f(3 cos(xy), y + e#v) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. i) Find…

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Q: Q1: Find the tangent plane and normal line of the surface F(x,y,z)=x² +n + y² + z² = 10 at point…

A:

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A: In this question we have to find following parts.

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A: Follow the procedure given below.

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