Q2: Discuss the fundamental theorem for gradients using E = 5x2 i + 20 xy j+ 10 yz3 k and the following paths: %3D (a) (0,0,0) (1,0, 0)(1, 1, 0) (1. 1, 1); (b) (0,0,0)(0, 0, 1) (0, 1. I)(1.1, 1):

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Q2: Discuss the fundamental theorem for gradients using E = 5x2 i+ 20 xyj+ 10 yz3 k
and the following paths:
(a) (0,0,0) (1,0, 0)(1, 1, 0) (1. 1, 1);
(b) (0, 0,0) (0, 0, 1) (0, 1, 1) (1.1. 1):
Transcribed Image Text:Q2: Discuss the fundamental theorem for gradients using E = 5x2 i+ 20 xyj+ 10 yz3 k and the following paths: (a) (0,0,0) (1,0, 0)(1, 1, 0) (1. 1, 1); (b) (0, 0,0) (0, 0, 1) (0, 1, 1) (1.1. 1):
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