Solve the problem.A water tank is formed by revolving the curve y = 6x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m
.)
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Answer: A
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Give an appropriate answer.If f(x, y, z) = (x4 + y2 + z)2 find fyy(x, y, z).
A. 4x4 + 12y2 + 4z B. 8y2(x4 + y2 + z) C. 4y2(x4 + y2 + z) D. 2x4 + 6y2 + 2z
Prove the limit statement
= 16
What will be an ideal response?
Solve the problem.It is estimated that the total value of a stamp collection is given by the formula 
where t is the number of years from now. If the inflation rate is running continuously at 4% per year so that the (discounted) present value of an item that will be worth $v in t years' time is given by 
Sketch the graph of the discounted value as a function of time at which the stamp collection is sold. At what value of t is the present value increasing most rapidly?
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A. t = 21.05
B. t = 19.05
C. t = 24.15
D. t = 18.75
Find the area of the rectangle. Be sure to express area in square units.
A. 250 sq m B. 70 sq m C. 35 sq m D. 500 sq m