Find an equation for the contour of f(x, y)=2x2y+7x+20f(x, y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).

A contour at height c have as its equation

The equation of the contour is

The given parameters are:

Recall that:

Substitute in f(x,y)

Evaluate exponents

Evaluate the products

Replace 3 and -2, with x and y

Substitute 5 for f(x,y) in

Collect like terms

Hence, the equation of contour is

Read more about equations of parabola at:

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step-by-step explanation:

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step-by-step explanation:

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