1.Consider the function: f(x, y) = 2020 + y3-3xy + x3. a) Find fx(x, y), and...

1.Consider the function: f(x, y) = 2020 + y³-3xy + x³.

a) Find f_x(x, y), and f_ye(x, y).

b) Find all critical points of f(x, y).

c) Classify the critical points of f(x, y) (as local max, local min, saddle).

2.Consider f(x) = 2x-x_²and g(x) = x²

a) [2 points] Find the intersection points (if any) of the graphs of f(x) and g(x).

b) [4 points] Graph the functions f(x) and g(x), and shade the region bounded by: f(x),

g(x), x = 0, x = 2.

c) [8 points] Find the area of the shaded region.

Expert Solution

milcah answered 1 year ago

Let f (x, y) = -x3 - y3 + 9xy - 26. Check that (0,0) and...

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Question

1.Consider the function: f(x, y) = 2020 + y3-3xy + x3. a) Find fx(x, y), and...

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Expert Solution

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