Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i+zj + yk (a) C₁: r₁(t) = cos(t)i+sin(t)j + tk, Ostsn (b) C₂:₂(t)=(1-2t) + ²tk, Osts1
Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i+zj + yk (a) C₁: r₁(t) = cos(t)i+sin(t)j + tk, Ostsn (b) C₂:₂(t)=(1-2t) + ²tk, Osts1
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 9E: Assume xand yare functions of t.Evaluate dy/dtfor each of the following. cos(xy)+2x+y2=2; dxdt=2,...
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