1.	A ladder 25 feet long is falling down a building at the rate of   ft/sec.  At the time the ladder’s foot is 24 feet from the building, how fast is it moving away from the building?        

2.	Find the average value of   ƒ(r) = 3r2 + 4r  on the interval  –2 ≤ r ≤ 1.    

3.	If ƒ(x) = x2 – 7x + 6 is a function, would you be using just the Mean Value Theorem or also Rolle’s Theorem when you sought the elusive “c” on the interval [1,6]?   Find the “c”.   

4.	If  ƒ(x)  =   find  k  so that ƒ(x) will be continuous at  x = 1.  								
5.	If  ƒ(x)  =  sin(x7),  then  ƒ ‘ (x)  =        
				    
6.	Find the rate of change of the surface of a sphere at the time its volume is ft3 and its radius is changing at the rate of  ft/sec.  .   

7–10.	If  ƒ(x)  =  then find the (7)left sum approximation, (8)right sum approximation, (9)middle sum approximation, and (10)the trapezoidal approximation for   if you use 4 equal divisions for the approximations.

11.	Find the area bounded by   2y2 = x + 4  and  x = y2    				 

12.	Find the area bounded by    y + x2 = 6  and  y + 2x – 3 = 0  

13.  Find the area between  and 			  	   

14.	Find the area under the curve   y = x – 1   on [0,3]    	

15.	A water tank has the shape of an inverted cone with altitude of 18 ft. and base radius of 9 ft.  If water is pumped in at 12 ft3/min, how fast is the water level rising when the water is 4 ft. deep?.  

16.	The area enclosed by the curves y2 = 4 + x and  x + 2y = 4  is best given by
	A)  )   C) dy   
	D)    2E) None of these	

17.	Find the average value of  ƒ(x) = sin2x  on [0,π]             

Answers:  1.  ft/sec.         2.  1 	3. Rolle’s :   	4. 	5. 7x6cos6.	8π ft2/sec	
                7. 2 + + +  units	8. + + +  2 units				
9. +  +   units		
10.  1 +  + + +   units	
11.   units		12 	units		13  units	14. 	units		15. 			 
16.  B		 17.