Problem 6. Find the absolute maximum and the absolute minimum of f(x, y) = ³+y³ 3.r on the region D {(x, y)| 2 <<2, 2

7. The region D above lies between the two red lines and 2 -². It can be described in two 1 the red parabola y: = ways. 1. If we visualize the region having "top" and "bottom" boundaries, express each as functions of x and provide the interval of x-values that covers the entire region. "top" boundary g₂(x) = "bottom" boundary g₁(x): interval of a values that covers the region = 2. If we visualize the region having "right" and "left" boundaries, express each as functions of y and provide the interval of y-values that covers the entire region. "right" boundary f2(y): "left" boundary fi(y) = interval of y values that covers the region =

Suppose that f(x, y) = x² – xy + y² – 5æ + 5y with a? + y? < 52. 1. Absolute minimum of f(x, y) is 2. Absolute maximum is

please answer fully on paper and make sure its correct please i keep getting different answers

1. Let and f(x,y) = x² + 2y - y² D = {(x, y) = R²|x² + y² ≤ 1, x ≥ 0} Find the absolute maximum and absolute minimum values of f over D.

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Suppose that f(x, y) = 5x + 2y at which - 4 < x < 4, – 4 < y < 4. %3D Absolute minimum of f(x, y) is 28 Absolute maximum of f(x, y) is +12