Given a tangent plane with equation at point Q= (a, b) z = f(a, b)
show this plane is parallel to the normal vector
t = <0,0,1>
at point Q.
Provide written explanation.

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.