Find the critical points of f (x, y) = 9y + x² + xy – 5y - y'.

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

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Q: Given g(x,y) = 6x^2 - 2x^3 + 3y^2 + 6xy. Find the 2 critical points.

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Q: Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x² - 16x + 2y - 18

A: a critical point of a function is a point where the derivative is either zero or undefined. In other…

Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

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Q: find the local max and min values and saddle points of the function f(x,y)=xy*(1-x-y)

A: Consider the function f(x, y) = xy(1 – x – y).To find the local maximum and minimum values and…

Q: Find ¹₁ (5z + 2y)dA where D = {(2, y) | z² + y² ≤ 16, z ≥ 0}

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Q: Given h(x,y) = 2x^3 + 2y^3 - 9x^2 + 3y^2 -12y. Find the four critical points.

A: We have to find the critical points.

Q: Determine the critical point and its type of function f with f (x, y) = 3x^2y + y^3 − 3x^2 − 3y^2 +…

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