Please solve the "e" part, thank u Problem 3f(x, y) = (3x² + 5y²)e¬z²-y²(a) Find the definition domain Dof z=f(x,y).Computethe partial deriva-tives and the Hessian matrix of z = f(x, y) at each point (x, y) E D.(b) Find the local maxima, the localminima and thesaddle points of thefunction z = f(x, y).(c) Find the maxima and the minima of z=f(x,y) under the condition y=2x.Find the maxima and the minima of z=f(x,y) under the conditionx² + y? = 4.(e) Setx(t):= 2 cos(t),y(t) = 2 sin(t).Draw the parametrized curve (x(t), y(t)) in the xy plane and setF(t) = f(x(t), y(t)).%3DCompute the derivative F'(t) and the variations of the function F(t). Whatare the maxima, the minima of F(t)? Compare this result with the resultin question 4) and explain.

According to question, fx, y = 3x2 + 5y2e-x2-y2 You have asked particular subpart, so i have to…

(e) Set x(t) = 2 cos(t), y(t) = 2 sin(t). Draw the parametrized curve (r(t), y(t)) in the ry plane and set F(t) = f(x(t), y(t)). %3D Compute the derivative F'(t) and the variations of the function F(t). What are the maxima, the minima of F(t)? Compare this result with the result in question 4) and explain.

(e) Set x(t) = 2 cos(t), y(t) = 2 sin(t). Draw the parametrized curve (r(t), y(t)) in the ry plane and set F(t) = f(x(t), y(t)). %3D Compute the derivative F'(t) and the variations of the function F(t). What are the maxima, the minima of F(t)? Compare this result with the result in question 4) and explain.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.

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