Find the tangent plane of the surface z = f(x, y) at (0,0, 0) in which 3y f(2, y) = || cos /3 t dt.

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

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

Q: For an implicit surface determined by the implicit relation function F (x, y, z) = 0, it is known…

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Q: Let 2r + 3y –= 5 be the tangent plane to a surface z = f(r,y) at the point (1,1). (a) Find the…

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Q: Let f(x, y, z) = x cos z + y sin z and P = (−1, 1, 4). (a) (b) (c) at P. | Find the rate of change…

A: Here given function as fx, y, z=xcosz+ysinz

Q: The several variable function T(x, y, z) = 6x®y+ 4x²y°z – 5xz2 + 50 gives the temperature at a point…

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Q: Let z = g(x, y) = f(3 cos(xy), y + ev) provided that f(3,6)= 7, f₁(3,6) = 2, f₂(3,6)= 5. i) Find g₁…

A: note :Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find the points on the surface ry + yz + zx – x - 22 = 0 where the tangent plane is parallel to…

A: Given surface is  Fx, y, z=xy+yz+zx-x-z2 and we have to find the points on this surface where the…

Q: Find the equation of the tangent plane to the surface determined by z'y' + z – 25 = 0 at z = 4, y =…

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Q: Calculate the tangent plane for the function f(x, y, z) = ecos(x)+sin(y+z) at the point (7,0,0).

A: To calculate the tangent plane for the function  at the point .

Q: Use a parameterization R(u, v) of f (x,y) = xe*y to find the tangent plane to f(x, y) at the point…

A: Tangent plane at (x1, y1) to f(x, y) is given by below: