Transform to cylindrical coordinate at the point specified:?

Question

Φ9ax-01ay-71az at B(3,4,6)

Answer 1

Hey,

Is this a real question...i am guessing your in calc 3, but this is not the form of ANY coordinate system.

cylindrical coordinates :

x =rcos(theta)

y =rsin(theta)

z = z

x^2 + y^2 = r^2

use those and you'll be able to work it out

Answer 2

ok .. . . i dont understand what you wrote on the first part ...

but if you want to transform the point B(3, 4, 6) into cylindrical

well.. . .. . (x,y,z) = (3 , 4 , 6)

you want ... (r, θ, z)

thus the last component is still 6.

r^2 = x^2 + y^2 = 3^2 + 4^2 = 25

thus

r = 25

x = r cosθ then 3 = 5 cosθ

thus

θ = cos^(-1)(3/5)

thus the cylindrical coordinate is:

(5 , cos^(-1)(3/5) , 6)