Question: Consider the functions (a) Use a computer algebra system to graph the first octantportion of the surfaces represented by f and g.(b) Find one first-octant

Consider the functionsf(x, y)=16x - y + 2x - 4y and g(x, y) =


(a) Use a computer algebra system to graph the first octantportion of the surfaces represented by f and g.(b) Find one first-octant point on the curve of intersection and show that the surfaces are orthogonal at this point.(c) These surfaces are orthogonal along the curve of intersection. Does part (b) prove this fact? Explain.

f(x, y)=16x - y + 2x - 4y and g(x, y) = 2 1 3x + y + 6x + 4y.

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