3. Find the work done by the force field F(x, y, z) = (z, x, y) in moving a particle from the point (3,0,0) to the point (0, π/2, 3) along (a) a straight line. (b) the helix x = 3 cost, y=t, z = 3 sint. 4. (a) Evaluate fox ds where C is the arc of the parabola y = x² from (0,0) to (1, 1)

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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3. Find the work done by the force field F(x, y, z) = (z, x, y) in moving a particle from the point (3,0,0) to
the point (0, π/2, 3) along
(a) a straight line.
(b) the helix x = 3 cost, y=t, z = 3 sint.
4. (a) Evaluate fox ds where C is the arc of the parabola y = x² from (0,0) to (1, 1)
Transcribed Image Text:3. Find the work done by the force field F(x, y, z) = (z, x, y) in moving a particle from the point (3,0,0) to the point (0, π/2, 3) along (a) a straight line. (b) the helix x = 3 cost, y=t, z = 3 sint. 4. (a) Evaluate fox ds where C is the arc of the parabola y = x² from (0,0) to (1, 1)
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