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Let F be the radial force field F zi+yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (4, 16). (Compare your answers!) A. If C₁ is the parabola: x=t, y=t2, 0 < t < 4, then F. dr = B. If C₂ is the straight line segment: x = 4t², y = 16t², 0 < t < 1, then C₂ F. dr =

Let F be the radial force field F zi+yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (4, 16). (Compare your answers!) A. If C₁ is the parabola: x=t, y=t2, 0 < t < 4, then F. dr = B. If C₂ is the straight line segment: x = 4t², y = 16t², 0 < t < 1, then C₂ F. dr =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let F be the radial force field F = xi+yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (4, 16). (Compare your answers!) Ja A. If C₁ is the parabola: x=t, y=t², 0 < t < 4, then F. dr = Sa B. If C₂ is the straight line segment: x = = 4t², y = 16t², 0< t < 1, then F. dr
Transcribed Image Text:Let F be the radial force field F = xi+yj. Find the work done by this force along the following two curves, both which go from (0, 0) to (4, 16). (Compare your answers!) Ja A. If C₁ is the parabola: x=t, y=t², 0 < t < 4, then F. dr = Sa B. If C₂ is the straight line segment: x = = 4t², y = 16t², 0< t < 1, then F. dr
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