Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2 (2 + 4y – 2z) dy dz %3D - = [ 12y + 2y² – 2yz", dz - 2yz]", dz (2 +2 – 2z) – (–2+ 2+2z) }dz %3D (4 – 4z) dz 3 4z – 2z? (12 – 18) – (4 –- 2) = -8 %3D Detailed explanation, .understand this is an example

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 11E
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Question
Example
-3
•1
-2
Evaluate
I
(x+ 2y – z) dx dy dz
I
(x + 2y – z) dx dy dz
-
2
+ 2xy – xz dy dz
(2+ 4y – 2z) dy dz
= [ 12y + 2y² – 2yz", dz
- 2yz]", dz
(2 +2 – 2z) – (–-2+2+ 2z)}dz
%3D
(4 – 4z) dz
3
4z – 2z?
(12 – 18) – (4 –- 2) = -8
Detailed explanation,
.understand this is an example
Transcribed Image Text:Example -3 •1 -2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 + 2xy – xz dy dz (2+ 4y – 2z) dy dz = [ 12y + 2y² – 2yz", dz - 2yz]", dz (2 +2 – 2z) – (–-2+2+ 2z)}dz %3D (4 – 4z) dz 3 4z – 2z? (12 – 18) – (4 –- 2) = -8 Detailed explanation, .understand this is an example
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,