Suppose F(x, y, z) = yi — xj – 1.5k - and C is the helix given by x(t) = 4 cos(t), y(t) = 4 sin(t), z(t) = t/4 for 0 ≤ t ≤ 3π. (a) From the graph, do you expect the line integral of Falong the helix C to be positive, negative, or zero?? (b) Find the line integral of F along the helix C. L.F. F.dr =

Suppose F(x, y, z) = yi — xj – 1.5k - and C is the helix given by x(t) = 4 cos(t), y(t) = 4 sin(t), z(t) = t/4 for 0 ≤ t ≤ 3π. (a) From the graph, do you expect the line integral of Falong the helix C to be positive, negative, or zero?? (b) Find the line integral of F along the helix C. L.F. 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 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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