MATH 106 MIDTERM 3

Please work out each of the given problems.  Credit will be based on the steps that you show towards the final answer.  Show your work.

Printable Key

PROBLEM 1  

You are constructing the newest resort at the bottom of Lake Tahoe (which is 1654 feet deep).  Your resort will feature a giant vertical circular window of radius 50 feet such that the bottom of the window lies on the bottom of the lake.  How much total fluid force will the window have to withstand?  (The density of fresh water is 62.4 pounds per cubic foot).

         Solution

PROBLEM 2 (17 Points)

A semicircular piece of glass of constant density and radius 6 inches is to be attached to a string so that the string balances the glass perfectly.  Where should the string be attached?

  Solution

PROBLEM 3  (15 Points Each)

Integrate the following:

1.      
     
      Solution
   

2.  
   
   Solution
   
   

3. 
   
   Solution
   

4. 
   
   Solution
   
   

5. 
   
   Solution

PROBLEM 4  Calculate the following limits if it exists:

A. (10 Points)   

Solution

B. (10 Points)   

Solution

PROBLEM 5 Find the following integrals if they converge. 

A. (10 Points)   

Solution

B. (10 Points)    

Solution

Back to Math 106 Home

Back to the Math Department Home

e-mail Questions and Suggestions