Let C be the curve represented by the equationsx = t, y = 3t2, z = 6t3 (0 t 1)In each
Chapter 15, Problem 12(choose chapter or problem)
Let \(C\) be the curve represented by the equations
\(x=t, \quad y=3 t^{2}, \quad z=6 t^{3} \quad(0 \leq t \leq 1)\)
In each part, evaluate the line integral along \(C\).
(a) \(\int_{C} x y z^{2} d s\)
(b) \(\int_{C} x y z^{2} d x\)
(c) \(\int_{C} x y z^{2} d y\)
(d) \(\int_{C} x y z^{2} d x\)
Equation Transcription:
Text Transcription:
C
X = t, y = 3t^2, z = 6t^3, (0 leq t leq 1)
integral_C xyz^2 ds
integral_C xyz^2 dx
integral_C xyz^2 dy
integral_C xyz^2 dz
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