 # 7. Let + Find all the stationary points of f and determine whethe...

## Question

Show transcribed text

## Transcribed Text

7. Let + Find all the stationary points of f and determine whether each is a local maximum, a local minimum or a saddle point. 8. Let f(x,y) = . - y, g(x,y) = x2 + y2 - 1. This question is about finding the maximum and minimum value of f(x,y) subject to the constraint g(x,y) (a) Draw some level curves of f (x,y) and in the same picture draw the constraint set g (x, y) = 0. Mark on your picture the points at which you think f (x,y) will assume its constrained maximum and minimum values, and explain how you estimated the position of these points. (b) Use the Lagrange multiplier condition to find the exact coordinates of the points you located in part (a), and hence find the constrained maximum and minimum values of f(x,y). 9. Find the maximum and minimum values of f(x,y) = x2 + x + 2y2 on the unit circle x2 + y2 = 1. 10. Find the minimum and maximum values of f x, y) = x2 - xy + y2 inside the quarter circle given by r²+y²1, x, y > 0.

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

By purchasing this solution you'll be able to access the following files:
Solution.docx.

\$63.00
for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

### Find A Tutor

View available Mathematics - Other Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.