Part 11. Problem Solving 1. If a tank holds 5000 gallons of water, and that wate

Question

Part 11. Problem Solving 1. If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, thern Torricelli's Law gives the volume V of water remaining in the tank after t minutes as V 5000 1- 40 Find the rate at which water is draining from the tank after 6 minutes. 2. The speed S of the body that is r centimeters from the center of an artery is If S CR - where C is a constant, R is the radius of the artery, and S is measured in centimeter per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR. At a constant distance r, find the rate at which S changes with respect to t for dt dR C-1.76x10', R-1x10 nd 1 3. Find dy dx by implicit differentiation.

Explanation / Answer

1)solution:-

Differentiatethe above equation

dV(t)/dt=-250(1-t/40)

Rate of water draining from the tank after 6 mints
6min =-250(1-6/40)=-212.5

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