Math 252 Homework Assignment 05

- Due 8:30 AM Monday February 15th, 1999.

• Section 3.4, page 132:
  
  
  • 9, 10, 11

  • jh05.1:
    • Let:
      

      

      

      where "a" is a constant.

    • What is the curl of this vector field?
  
  
• Section 3.6, page 140:
  
  
  • 4, 7, 8

  • jh05.2:
    • Let:
      

    • Over what domain of (x,y,z) does phi satisfy Laplace's equation?

    • Explain this by plotting the gradient of phi in Maple and interpreting what it means. [Hint:  Consider the vector field of jh05.1 above, in the limit that "a" goes to zero.]
  
  
• Section 3.7, page 145:
  
  
  • 2, 3, 5
  
  
• Section 3.8, page 150:
  
  
  • 1, 2, 8
  
  
• Section 3.9, page 153:
  
  
  • 1, 2, 4, 5