(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Graph the surface inR^{3}

2. Relevant equations

Spherical equation [tex]\rho[/tex] = 2asin([tex]\varphi[/tex])

3. The attempt at a solution

I think its just a sphere with a radius of 2

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1. The problem statement, all variables and given/known data

Graph the solid whose given coordinates satisfy the inequalities

2. Relevant equations

a) 0 [tex]\leq[/tex] r [tex]\leq[/tex] 3, 0 [tex]\leq[/tex] [tex]\theta[/tex] [tex]\leq[/tex] [tex]\pi[/tex]/2, -1 [tex]\leq[/tex] z [tex]\leq[/tex] 2

b) 2r [tex]\leq[/tex] z [tex]\leq[/tex] 5 - 3r

3. The attempt at a solution

I figure these are cylinders because of variables used to describe the coordinates but besides that I'm having trouble know what to use the inequalities for

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1. The problem statement, all variables and given/known data

Graph the solid whose given coordinates satisfy the inequalities

2. Relevant equations

a) 0 [tex]\leq[/tex] [tex]\rho[/tex] [tex]\leq[/tex] 1, 0 [tex]\leq[/tex] [tex]\theta[/tex] [tex]\leq[/tex] [tex]\pi[/tex]/2,

b) 0 [tex]\leq[/tex] [tex]\rho[/tex] [tex]\leq[/tex] 2/cos[tex]\varphi[/tex], 0 [tex]\leq[/tex] [tex]\varphi[/tex] [tex]\leq[/tex] [tex]\pi[/tex]/4

3. The attempt at a solution

Spheres, but same problem as with the others, I'm just not doing well at understanding how to use the inequalities to graph it

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# Homework Help: Coordinate Systems

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