arunret888

Let (S) be the paraboloid z=10-(x-1)^2-(y-2)^2 and let M be the highest point (relative to the plane Oxy) on (S ). Let (P) be the tangent plane to (S) at M. Which point from the following is on the plane (P) ? 

Help I don’t get how to Solve it

An aquarium 5 m long, 3 m wide, and 2 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m³, and use 9.8 m/s² for g.)
W = J