Evaluate the line integral axy dz for C : r(t) = (e, elt+1), te'), 0 Evaluate the line integral| 2'y dr + a/y? +1 dy for C : r(t) = (VE,t),0 < t <1 and then repeat with -C in place of C.%3D2y dr + a*Vy? +1 dy =| 2?y da + a* /y? +1 dy =V

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Evaluate the line integral ry dz for C : r(t) = (e , et+1)", te'), 0

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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Question

100%

Evaluate the line integral a
xy dz for C : r(t) = (e, elt+1)
, te'), 0 <t<1 and then repeat with -C in place of C.
ry dz
ry dz

Evaluate the line integral
| 2'y dr + a/y? +1 dy for C : r(t) = (VE,t),0 < t <1 and then repeat with -C in place of C.
%3D
2y dr + a*Vy? +1 dy =
| 2?y da + a* /y? +1 dy =
V

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