Extended and Discovery Exercises 1 Torricellis Law A cylindr

Extended and Discovery Exercises 1. Torricelli\'s Law A cylindrical tank contains 500 gal- lons of water. A plug is pulled from the bottom of the tank, and it takes 10 minutes to drain the tank amount A of water in gallons remaining in the tank afer t minutes is approximated by 500(1-10) AW 10) . (a) What is a reasonable domain for A? (b) Evaluate A(1) and interpret the result. (c) What are the degree and leading coefficient of A()? (d) Has half the water drained from the tank after 5 minutes? Does this agree with your intuition? Explain.

Solution

a) Domain is [0,10]

b) A(1) = 45

c) degree is 2 and leading coefficient is 5

d)NO after 5 minutes the water drained is 3/4 of initial water