Compute the flux (just another name for the surface integral) of the vector field F = zk through the parameterized surface S, which is oriented toward the z-axis and given, for 0s≤ 1, 0 < t < 1, by flux = x 2s + 5t, y = 28 - 5t, z = 8² + 1².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Compute the flux (just another name for the surface integral) of the vector field F = zk through the parameterized surface S, which is oriented toward the z-axis and given, for
0<s≤ 1, 0≤ t ≤ 1, by
flux =
x = 2s + 5t,
S
y = 2s 5t, z = s² + t².
Transcribed Image Text:Compute the flux (just another name for the surface integral) of the vector field F = zk through the parameterized surface S, which is oriented toward the z-axis and given, for 0<s≤ 1, 0≤ t ≤ 1, by flux = x = 2s + 5t, S y = 2s 5t, z = s² + t².
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Z is equal to s^2+t^2 in the original problem. Please refal

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Please re evaluate the integral with the same bounds given by the same x and y equations, and z=s^2+t^2

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