Use Wolfram Alpha to answer the following questions. a. Locate and classify stationary points of the function

Use Wolfram Alpha to answer the following questions.

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a. Locate and classify stationary points of the function f(x₁, x2) = x₁x² + x² + 2x² - 2x1x2. b. Find the location of the minimum value of g(x, y) = 5x² + 10xy such that x and y sit on a circle of radius 3 and centered at (x, y) = (3, 1) in the x-y plane. c. Find the location of the maximum value of h(x, y, 2) = x(y² +32) such that x+y+ z = 4 and xy = 4. d. Evaluate the definite integral (2y cos(x) + x sin(y)) dx dy where D = os(x). = {x,y|x € [-π, π/2], y = [л, 2π]} D e. Evaluate the definite integral ff (xy + 2x-3 (xy + 2x- 3y) dx dy where D = {x, ylx = [3, 4], y ≤ [2 − x, 2 + x]} D