Suppose that Vf(x, y, z) = 2xyze¹¹i+zeªj+yeªk. If f(0,0,0) = 2, find f(3,3,4). Hint: As a first step, define a path from (0,0,0) to (3, 3, 4) and compute a line integral.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Suppose that Vf(x, y, z) = 2xyze¹² i + ze²³j+ yeª¹k.
If f(0,0,0) = 2, find ƒ(3,3,4).
Hint: As a first step, define a path from (0,0,0) to (3, 3, 4) and compute a line integral.
Transcribed Image Text:Suppose that Vf(x, y, z) = 2xyze¹² i + ze²³j+ yeª¹k. If f(0,0,0) = 2, find ƒ(3,3,4). Hint: As a first step, define a path from (0,0,0) to (3, 3, 4) and compute a line integral.
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