Calculate the flux of the vector field f⃗ (x, y,z)=2i⃗ +4j⃗ +zk⃗ through the closed circular cylinder of radius 3 centered about the z-axis for −6≤z≤6, oriented away from the z-axis. note: a closed cylinder has a top and a bottom

Acentrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. when switched off, it rotates through 54.0 revolutions before coming to rest. find the constant angular acceleration (in rad/s2) of the centrifuge. your response is within 10% of the correct value. this may be due to roundoff error, or you could have a mistake in your calculation. carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. rad/s2