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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Please do 3
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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