User talk:Soehtet147

water is flowing at a constant rate into a spherical tank. Let V(t) be the volume of the water in the tank and H(t) be the height of the water in the tank at time t. (a) What are the meaning of V'(t) and H'(t)? Are these derivatives positive, negative, or zero? (b) Is V"(t) positive, negative, or zero? (c) Let t1, t2, and t3 be the times when the tank is one-quarter full, respectively. Are the values H"(t1), H"(t2), and H"(t3) positive, negative, or zero? Why?