*e*

^{−0.5t }units/hr while the conveyor belt removes the material at 50 units/hr.[/FONT]

[FONT="]

(a) Find the net change in the size of the pile over the first 2 hours, and over the first 8 hours. Round your answers to the nearest hundredth.

2 hours =

8 hours =

(b) At what time is the amount of material in the pile the largest and the smallest?[/FONT]

[FONT="]

largest t=

smallest t=

2) Consider the region in the first quadrant bounded by the line 8

*x*−

*y*= 0 and the curve 8

*x^*

^{3}−

*y*= 0.[/FONT]

[FONT="]

[/FONT]

[FONT="] Find the volume of the solid of revolution generated by revolving this region about the line

*x*= −1[/FONT]

[FONT="] using the disk/washer method.

Thanks!!!! [/FONT]