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1.

What is the volume of the solid obtained by revolving the region enclosed by the graphs of x= y^{2}and x= 9 about the y-axis?

2. At what value(s) of xdo the graphs of y= e^{x}and y= x^{2}+ 5xhave parallel tangent lines?

3. Let yrepresent the population in a town. If ydecreases according to the equation , with tmeasured in years, and the population decreases by 25% in 6 years, then k=

4. If on [4, 8], then hhas a local minimum at x=

5. The volume of the solid generated by revolving the region bounded by the graph of y= x^{3}, the line y= 1, and the y-axis about the y-axis is

6.

If and the graph of qis shown above, which of the graphs shown below is a possible graph of p?

7. The equation of the tangent line to the graph of y= sin xfor 0 ≤ x≤ πat the point where is