Approximate function change Use differentials to

Chapter 10, Problem 28E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.

\(z=-x^{2}+3 y^{2}+2\) when (x, y) changes from (-1, 2) to (-1.05, 1.9)

Questions & Answers

QUESTION:

Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.

\(z=-x^{2}+3 y^{2}+2\) when (x, y) changes from (-1, 2) to (-1.05, 1.9)

ANSWER:

Solution 28EStep 1 of 3:In this problem we need to use differentials to approximate the change in z for the given changes in the independent variables. Let be differentiable at the point . The change in as the independent variables change from to is denoted and is approximated by the differential :

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back