• Support PF! Buy your school textbooks, materials and every day products Here!

Functions of Several Variables

  • Thread starter kzang
  • Start date
  • #1
1
0

Homework Statement



a.) Find the equations of the circles (if any) where the sphere (x-1)^2+(y+3)^2+(z-2)^2=4 intersects each coordinate plane.
b.)Find the points (if any) where this sphere intersects each coordinate axis.


Homework Equations





The Attempt at a Solution



a.) The sphere intersects the y-z plane so x=0. So the equation would be (y+3)^2+(z-2)^2=4?
b.) I'm not sure how to begin. Please help
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
(x-1)^2+(y+3)^2+(z-2)^2=4

if x = 0, you get
(-1)^2+(y+3)^2+(z-2)^2=4

for b) on the z aaxis, y=x=0
 
  • #3
Dick
Science Advisor
Homework Helper
26,258
618
For a) you should put x=0. Yes. But you didn't put x=0, you put x-1=0. For b) the x-axis is defined by y=0 and z=0.
 

Related Threads on Functions of Several Variables

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
12
Views
6K
Replies
8
Views
3K
Replies
2
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
11
Views
2K
Replies
8
Views
2K
Replies
4
Views
1K
Replies
5
Views
673
Top