Question: need help with this Matlab Assignment. Please try to formulate the Matlab code and post it here. Please make sure it works. Matlab Assignment Problem

need help with this Matlab Assignment. Please try to formulate the Matlab code and post it here. Please make sure it works. 

Matlab Assignment 

Problem 4.1 (15.6 #36); Problem 4.2 (Supp 4.3 #2(b)) 

  • The code used to solve the problems should include as little manual input as possible. 
  • The output for Problem 4.1 should include both parts of the problem: (a) the linear approximation of f (tangent plane) and (b) the estimated function value. 
  • The graphs for both Problems 4.1 and 4.2 must include the surface, the point of tangency, and the tangent plane. Use a solid 'facecolor' to distinguish the tangent plane from the surface. 

Problem 4.1 is: Linear approximation

  1. Find the linear approximation to the function f at the given point.
  2. Use part (a) to estimate the given function value. 

36. f(x, y) = sqrt(x^2 + y^2); (3, -4); estimate f(3.06, - 3.92).

 

Problem 4.2 is: Tangent plane

 

2. Find an equation of the plane tangent to each surface at the given point.

 

        b.  r(u, v) = <1 - 3u 2v, uv, v^2>; (-4, -1, 9).

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