Given Jo −4x³ y dx + 5xz dy + (x + y)² dz, where C' is the helix parameterized by r (t) = (–4t, sin (t), cos (t)) on the interval 0 ≤ t ≤ 47, set up the line integral in terms of t.

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Given
n [−4x³ydæ+5æzdy + (x + y)² dz, where C' is the helix parameterized by r (t) = (–4t, sin (t), cos (t)) on
the interval 0 < t ≤ 4, set up the line integral in terms of t.
Provide your answer below:
Sc - 4x³y dx + 5xz dy + (x + y)² dz =
dt
Transcribed Image Text:Given n [−4x³ydæ+5æzdy + (x + y)² dz, where C' is the helix parameterized by r (t) = (–4t, sin (t), cos (t)) on the interval 0 < t ≤ 4, set up the line integral in terms of t. Provide your answer below: Sc - 4x³y dx + 5xz dy + (x + y)² dz = dt
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