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6. (10 points) A parabola is given by the equation x = y^2 + 2. Find the equatio

ID: 2967978 • Letter: 6

Question

6. (10 points) A parabola is given by the equation x = y^2 + 2. Find the equation of the tangent line to the parabola at the point (alpha^2+2,alpha), where alpha is a given constant. Simplify your equation to the form ax + by = c. 7. (15 points) Let f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 . Classify all its critical points in terms of local maxima, local minima, and saddle points. Only show important intermediate steps. Write down the answer in the provided space and use NA if it does not exisit. Do not evaluate the function at these critical points. local maxima local minima saddle points

Explanation / Answer

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