Set up a double integral for calculating the flux of the vector field f⃗ (x, y,z)=xi⃗ +yj⃗ through the open-ended circular cylinder of radius 8 and height 9 with its base on the xy-plane and centered about the positive z-axis, oriented away from the z-axis. if necessary, enter θ as theta.

Parameterize the cylinder (call it ) by

with and . Then

Take the normal vector to to be

Then the flux of across is

black/brown

step-by-step explanation:

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