Show full answers to all parts 2. §11.3. Q52. Let w = x2 + 4y2z2. Find(a). Ow/ax (2,1,-1);(b). aw/dyl(2,1,-1);(c). Əw/az (2,1,-1).

The given function .The objective is to find the following,(a) (b) (c) .

Answered: 2. §11.3. Q52. Let w = √x² + 4y² - 2².…

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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2. §11.3. Q52. Let w = x2 + 4y2z2. Find
(a). Ow/ax (2,1,-1);
(b). aw/dyl(2,1,-1);
(c). Əw/az (2,1,-1).

Expert Solution

Step 1: Given the information

The given function $w equals square root of x squared plus 4 y squared minus z squared end root$ .

The objective is to find the following,

(a) $fraction numerator partial differential w over denominator partial differential x end fraction vertical line subscript open parentheses 2 comma space 1 comma space minus 1 close parentheses end subscript$

(b) $fraction numerator partial differential w over denominator partial differential y end fraction vertical line subscript open parentheses 2 comma space 1 comma space minus 1 close parentheses end subscript$

(c) $fraction numerator partial differential w over denominator partial differential z end fraction vertical line subscript open parentheses 2 comma space 1 comma space minus 1 close parentheses end subscript$ .