Question

convert to cylindrical coordinates.

3x+y-4z=12

Answer 1

this is what i think should happen, but i'm not sure i'm allowed to do it...
square both sides to get

\[9x^2+y^2+16z^2 = 144\]
then
\[(9+16)r^2 = 144\]
??!!?

Answer 2

thats not the square of both sides; thats just squaring each term that changes the value of the equation itself; ruins the rule

Answer 3

oh..... :(

Answer 4

k lemme try changing everything individually, one sec

Answer 5

for instance:

5 + 3 = 8 ; square the terms like you did

25 + 9 = 64 is not right

Answer 6

LOL, okay good point.. mashathomas.com/blush.jpg

Answer 7

k it's actually easy lol..
\[3rcos \theta + rsin \theta -4z = 12\]

Answer 8

^.^

Answer 9

3x+y-4z=12 this forms a plane tilted in space; the z value is actually a slope defined in terms of the tilt

Answer 10

then what if i have
\[x^2-4z^2+y^2 = 0\]