Find the work done by F= (x² + y)i + (y² + x)j + ze²k over the following paths from (5,0,0) to (5,0.5). a. The line segment x = 5, y = 0, 0≤x≤5 b. The helix r(t) = (5cos t)i + (5sin t)j + k. Osts 2x C-The x-axis from (5,0,0) to (0,0,0) followed by the line z=x, y=0 from (0,0,0) to (5,0,5) (5.0,5) (5,0,0) (0,0,0)

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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Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the
following paths from (5,0,0) to (5,0,5).
a. The line segment x = 5, y = 0,0szs5
5t
+ (217) K.
b.The helix r(t) = (5cos t)i + (5sin t)j +
k, Osts 2x
C-The x-axis from (5,0,0) to (0,0,0) followed by the line z = x, y = 0
from (0,0,0) to (5,0,5)
CD
(5,0,5)
(5,0,0)
(0,0,0)
Transcribed Image Text:← Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (5,0,0) to (5,0,5). a. The line segment x = 5, y = 0,0szs5 5t + (217) K. b.The helix r(t) = (5cos t)i + (5sin t)j + k, Osts 2x C-The x-axis from (5,0,0) to (0,0,0) followed by the line z = x, y = 0 from (0,0,0) to (5,0,5) CD (5,0,5) (5,0,0) (0,0,0)
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