Need help with part b). Please explain each step and neatly type up. Thank you :) 2. Let us define the following functionsf(x, y) = x² + 2y²y²9g(x, y) = x² +(a) (3 points) (*) Find the Oxf, ayf, and (Vg)(x, y).(b) (3 points) (*) Find a critical point of g(x, y) and determine whether it is a localmaximum, a local minimum, or a saddle.(c) (3 points) (*) Draw the level set of g for level 9.(d) (3 points) (*) Note that g(3 cos(t), 9 sin(t)) = 9 for any t = [0,2π]. Find t thatmaximises f(3 cos(t), 9 sin(t)).(e) (4 points) (**) Using the Lagrange multiplier method, find (x, y) that maximisef(x, y) subject to g(x, y) = 9.

Given : gx , y=x2+y29. To find : critical point of gx,y. To check : gx,y is local maximum , local…

Answered: (b) (3 points) (*) Find a critical…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(b) (3 points) (*) Find a critical point of g(x, y) and determine whether it is a local maximum, a local minimum, or a saddle.