Change from cartesian coordinates to cylindrical and spherical

[akkex]

Hello, I have 6 equations in Cartesian coordinates a) change to cylindrical coordinates b) change to spherical coordinate
This book show me the answers but i don't find it
If anyone can help me i will appreciate so much!
Thanks for your time


1) z = 2 a) z = 2 b)ρcos(Φ) = 2

2) z = 5x² + 5y² a) z = 5r² b)5ρ = cos(Φ)cosec²(Φ)

3) x² + y² + z² = 9 a) r² + z² = 9 b)ρ = 3

4) x² + y² + 2z² = 4 a) r² +2z² = 4 b)ρ² (1 + cos²(Φ) = 4

5) x² - y² -2z² = 1 a) 2z² = r²cos(2θ) b)ρ² (sin²(Φ)cos(2θ) -2cos²(Φ) = 1

6) x² + y² = 2x a) r = 2cos(θ) b)ρsin(Φ) = 2cos(θ)

 

[Deleted member 4993]

Hello, I have 6 equations in Cartesian coordinates a) change to cylindrical coordinates b) change to spherical coordinate
This book show me the answers but i don't find it
If anyone can help me i will appreciate so much!
Thanks for your time


1) z = 2 a) z = 2 b)ρcos(Φ) = 2

2) z = 5x² + 5y² a) z = 5r² b)5ρ = cos(Φ)cosec²(Φ)

3) x² + y² + z² = 9 a) r² + z² = 9 b)ρ = 3

4) x² + y² + 2z² = 4 a) r² +2z² = 4 b)ρ² (1 + cos²(Φ) = 4

5) x² - y² -2z² = 1 a) 2z² = r²cos(2θ) b)ρ² (sin²(Φ)cos(2θ) -2cos²(Φ) = 1

6) x² + y² = 2x a) r = 2cos(θ) b)ρsin(Φ) = 2cos(θ)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

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[akkex]

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

I can do the first because from Cartesian coordinates to a) z = z in cylindrical coordinates and b) z = ρcos(Φ) in spherical coordinates. But in the other exercises i can't find a way to solve it

This is not a homework.

 

[stapel]

I can do the first because from Cartesian coordinates to a) z = z in cylindrical coordinates and b) z = ρcos(Φ) in spherical coordinates. But in the other exercises i can't find a way to solve it

So you're needing instruction on how to do these conversions?

 

[akkex]

So you're needing instruction on how to do these conversions?

Yes, I just need a way to do the second, I can do the rest

 

[stapel]

Yes, I just need a way to do the second, I can do the rest

They were supposed to have covered this material in class and in your textbook before you were assigned homework on it. Since we cannot here replace the missing days of classroom instruction, nor the sections (or chapter) in your book, you'll want to consider online resources instead.

. . . . .Google results for "convert between cartesian and cylindrical coordinates"

. . . . .Google results for "convert between cartesian and spherical coordinates"

Please study at least three lessons from each list. Then please attempt the exercise. If you get stuck, you can then reply with a clear statement of your efforts, at which point we can begin to work with you. Thank you!