Question

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 2, 4) and use it to approximate the number 4.012 + 1.972 + 3.982 . (Round your answer to five decimal places.) f(4.01, 1.97, 3.98) ≈

Name: find the linear approximation of the function fx y z x2 y2 z2 at 4 2 4 and use it to approximate the number 4012 1972 3982 round your answer to five decimal places f401 197 398 80262
Uploaded: 2022-03-31T14:48:42-08:00
Duration: 4 min 51 s
Channel: Taran S
Description: find the linear approximation of the function fx y z x2 y2 z2 at 4 2 4 and use it to approximate the number 4012 1972 3982 round your answer to five decimal places f401 197 398 80262

          Find the linear approximation of the
function f(x, y, z) = 
x2 + y2 + z2
 at (4, 2, 4) and use it to approximate the
number 
4.012 + 1.972 + 3.982
. (Round your answer to five decimal places.)
f(4.01, 1.97, 3.98) ≈

Added by Richard E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Taran S

03/31/2022

Step 1

Step 1: Find the linear approximation formula: The linear approximation formula is given by: \[ L(x, y, z) = f(x_0, y_0, z_0) + \frac{\partial f}{\partial x}(x_0, y_0, z_0)(x - x_0) + \frac{\partial f}{\partial y}(x_0, y_0, z_0)(y - y_0) + \frac{\partial Show more…

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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 2, 4) and use it to approximate the number 4.012 + 1.972 + 3.982 . (Round your answer to five decimal places.) f(4.01, 1.97, 3.98) ≈