Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

question below, please answer correctly: point (1, 0, 2, -1). Let f(w, x, y, z) = (2w + xz, y x2 + 2w -z, wax

image text in transcribed

question below, please answer correctly:

image text in transcribed
point (1, 0, 2, -1). Let f(w, x, y, z) = (2w + xz, y x2 + 2w -z, wax + 3y). Compute the Jacobian matrix [Jf(w, x, y, z)] at an arbitrary point (w, x, y, z) and at the 2 Z 0 X [Jf (w, x, y, z) ] = 2 2y^2x 2x^2y -1 2xw W^2 3 0 2 -1 0 [Jf(1, 0, 2, -1)] = 2 0 0 -1 0 3 0 2 Now consider f (1, 0, 2, -1) = 3 . If we change the input point (1, 0, 2, -1) by h = (-0.1, -0.1, 0.1, 0.1), then the approximate change 6 0.21 1.89 in the function (as estimated by the derivative) is 0.3001 , and the approximate value of the function is f(0.9, -0.1, 2.1, -0.9) ~ 2.7441 -0.299 6.219

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

A Tour Through Graph Theory

Authors: Karin R Saoub

1st Edition

1138197815, 9781138197817

More Books

Students also viewed these Mathematics questions