MATH3503 Online Assignment 5

• Make sure to use the link on the Learning Hub, which contains a user name and a user ID unique to you, otherwise your mark would not be recorded. You may use the URL without '?uname=...&uid=...' if you just want to practice. You will get different numbers every time you open the page.
• Numerical answers are evaluated as correct if the difference from the correct value is less than `0.001 times` (correct value) unless otherwise specified. That means, you need to keep at least 4 significant digits (e.g., 12.34, 0.01234, etc.) in your final answer, and a couple of more digits in the intermediate steps.

Volume of Revolution

1.  
   The area surrounded by `y = 1/x`, `x=1.8` and `x=5.1`
   

   1.   rotated about the `y`-axis =
   2.   rotated about the `x`-axis =

   
   
   
   
2.  
   The area surrounded by `y = 1/(x+5)^2`, the `y`-axis and `x=4`
   

   1.   rotated about the `y`-axis =
   2.   rotated about the `x`-axis =

   
   
   
   
3.  
   The area surrounded by `y = x^5`, the `y`-axis and `y=7`
   

   1.   rotated about the `y`-axis =
   2.   rotated about the `x`-axis =

   
   
   
   
4.  
   The area surrounded by `y = x^6` and \(y = x^{1/7}\) rotated about the `x`-axis =
   
   
   
   
5.  
   The area surrounded by `y = 6x^2` and `y = 5x^2+3` rotated about the `y`-axis =
   
   
   
   

If you are ready to submit the result, click Submit!   *Make sure that all questions are evaluated. Click "Check answers!" before clicking "Submit!".