Question 2. (25 points): Assume that you want to approximate a function f(x,y,z)=x+y+2 by a line...

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Question 2. (25 points): Assume that you want to approximate a function f(x,y,z)=x+y+2 by a line function ((x, y, z) ax+any+at+c such that f(x, y, z) = (x,y,z) at four points (1,0,0), (1, 1.0), (0, 1, 1), an (1,0,1). Here, means that f(x,y,z) is almost equal to ((x, y, z). Your goal is to find the coefficients a1, a2, and c. Model this problem into an optimization problem of the form that minimizes the sum of squar errors between f and at these four points. Solve the resulting optimization problem. Question 2. (25 points): Assume that you want to approximate a function f(x,y,z)=x+y+2 by a line function ((x, y, z) ax+any+at+c such that f(x, y, z) = (x,y,z) at four points (1,0,0), (1, 1.0), (0, 1, 1), an (1,0,1). Here, means that f(x,y,z) is almost equal to ((x, y, z). Your goal is to find the coefficients a1, a2, and c. Model this problem into an optimization problem of the form that minimizes the sum of squar errors between f and at these four points. Solve the resulting optimization problem.