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3. For w = xy? 23, calculate the values of Aw and the total differential dw when (x, y, z) goes from (3, 2, 1) to (2.9, 2.1, 1.05). Round your answer for Aw to three decimal places. 4. Find both points on the surface xz – x2 – y? = 8 where the tangent plane is horizontal.

3. For w = xy? 23, calculate the values of Aw and the total differential dw when (x, y, z) goes from (3, 2, 1) to (2.9, 2.1, 1.05). Round your answer for Aw to three decimal places. 4. Find both points on the surface xz – x2 – y? = 8 where the tangent plane is horizontal.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help with 3 & 4 please.
3. For \( w = x y^2 z^3 \), calculate the values of \(\Delta w\) and the total differential \( dw \) when \((x, y, z)\) goes from \((3, 2, 1)\) to \((2.9, 2.1, 1.05)\). Round your answer for \(\Delta w\) to three decimal places. 4. Find both points on the surface \( xz - x^2 - y^2 = 8 \) where the tangent plane is horizontal.
Transcribed Image Text:3. For \( w = x y^2 z^3 \), calculate the values of \(\Delta w\) and the total differential \( dw \) when \((x, y, z)\) goes from \((3, 2, 1)\) to \((2.9, 2.1, 1.05)\). Round your answer for \(\Delta w\) to three decimal places. 4. Find both points on the surface \( xz - x^2 - y^2 = 8 \) where the tangent plane is horizontal.
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