Evaluate the line integral F.dr

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 3E: Assume x and y are functions of t. Evaluate dydtfor each of the following. 2xy5x+3y3=51;...
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#7. Evaluate the line integral
F.dr
(a) F(x,y)= xi + 2xyj and C is given by r(t) = t'i – 3tj with 1<t < 3.
(b) F(x, y,z) = (y +z²) i+xzj+yk and C is given by r(t) = t³i+t²j-3tk with 0<t < 1.
Transcribed Image Text:#7. Evaluate the line integral F.dr (a) F(x,y)= xi + 2xyj and C is given by r(t) = t'i – 3tj with 1<t < 3. (b) F(x, y,z) = (y +z²) i+xzj+yk and C is given by r(t) = t³i+t²j-3tk with 0<t < 1.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,