Graphing x^2+y^2+z^2=z: Integral & Range Help

  • Context: Undergrad 
  • Thread starter Thread starter kthouz
  • Start date Start date
  • Tags Tags
    Integral
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 3K views
kthouz
Messages
188
Reaction score
0
can someone help me in graphing the following function: x^2+y^2+z^2=z.
i actually know about x^2+y^2+z^2=k (k=constant) but there above the radius z still changing. the qustion was to intagrate that function and i want to use the spherical coordinates then i will need to know the range of the radius.
 

Discussion

Physics news on Phys.org
Why don't you complete squares?

Hint: [itex](z-z/2)^2=z^2-z+1/4[/itex]
 

Similar threads

Graduate Calculate divergence of <y^2,z^2,x^2> in cylindrical coords

  • tub08918
  • · Replies 5 ·
  • Calculus
Replies
5

Find Maximum $(xyz)^2$ Given $x+y+z=0, x^2+y^2+z^2=2015$

  • anemone
  • · Replies 2 ·
  • Calculus
Replies
2

Proving Irregularity of {(x, y, z) within R^3 : x^2 + y^2 - z^2 = 0}

  • labercrombie36
  • · Replies 14 ·
  • Calculus and Beyond Homework Help
Replies
14

Graphing x=t, y=1/(1+t^2), z=t^2 - Is it a Parabola?

  • ineedhelpnow
  • · Replies 5 ·
  • Calculus
Replies
5

Integral Calculus Help Needed: \iiint_T\sqrt{x^2+y^2}z^4e^{z^4}dx\ dy\ dz

  • laura1231
  • · Replies 3 ·
  • Calculus
Replies
3

Volume integral of x^2 + (y-2)^2 +z^2 = 4 where x , y , z > 0

  • dyn
  • · Replies 21 ·
  • Calculus and Beyond Homework Help
Replies
21

Prove Divisibility: $(x-y)^2+(y-z)^2+(z-x)^2=xyz$ yields $x^3+y^3+z^3$

  • anemone
  • · Replies 1 ·
  • General Math
Replies
1

Factorize 6(x^5+y^5+z^5)-5(x^2+y^2+z^2)(x^3+y^3+z^3)

  • anemone
  • · Replies 1 ·
  • General Math
Replies
1

Undergrad Geometric Interpretation of √(x^2+y^2+z^2) and its Derivative

  • aaaa202
  • · Replies 1 ·
  • Calculus
Replies
1

Level Surfaces & Intersection of a Graph: Exploring $f(x,y,z) = x^2+y^2$

  • mathmari
  • · Replies 3 ·
  • Calculus
Replies
3