Answers

 

Math H162    Brown    Wi04

Homework 10,  not for handing in.

Answers will be posted on the website on Tuesday, March 9.

 

Textbook, page 663-664: #2, 4, 6, 8, 10, 14, 16, 18

 

#2a  (1, 1, -2)

#2b (3/2,  (1/2) * sq rt of 3, 11)

#2c   (~0.54,  ~0.84,  1)

#2d  (1, sq rt 3, pi)

 

#4a   (0, 3, 0)

#4b  (-4, 0, 0)

#4c  (sq rt 3,  3, 2)

#4d  (sq rt 3, 3, -2)

 

#6    r-squared = 6z

 

#8   r-squared cos-squared theta + r-squared sin-squared theta  =  3

       or

       r-squared [( 2 * cos-squared theta)  -  1] =  3

 

#10  r-squared  =  4r cos-theta  OR  r =  4 cos-theta

 

#14  rho-squared  +  4 rho * cos-phi  =  0  OR  rho  +  4 cos-phi  =  0

 

#16  rho-squared * sin-squared phi  =  9

 

#18  rho-squared  =  sin-fourth phi.