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(9) (a)Find the double integral of the function f (x, y) = x + 2y over...

(9)

(a)Find the double integral of the function f (x, y) = x + 2y over the region in the plane bounded by the lines x = 0, y = x, and y = 3 − 2x.

(b)Find the maximum and minimum values of 2x − 6y + 5 subject to the constraint x^2 + 3(y^2) = 1.

(c)Consider the function f(x,y) = x^2 + xy. Find the directional derivative of f at the point (−1, 3) in the direction of the vector 〈1, 2〉.

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