Question

(1 point)

Convert the following point from rectangular to cylindrical coordinates:

(4√2,−4√2,9)

(r,θ,z)=

Answer #1

Find the spherical coordinates of a point P with cylindrical
coordinates (r,θ,z). Draw a figure.

Convert the cylindrical coordinate (4, n/3 , −2) into
rectangular coordinates

Change from rectangular to cylindrical coordinates. (Let
r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (-3,3,3)
(b) (-5,5sqrt(3),5)

Change from rectangular to cylindrical coordinates. (Let
r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (-3,3,3)
(b) (-5,5sqrt(3),5)

Change from rectangular to cylindrical coordinates. (Let
r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (3, −3, 5)
b) (-3,-3sqrt3,2)

Change from rectangular to cylindrical coordinates. (Let
r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a).
(−9, 9, 9)
(b).
(-5,5sqrt(3), 9)

Change from rectangular to cylindrical coordinates. (Let
r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a)
(−8, 8, 8)
3
(b) (−3, 3, 5)

(1 point) Convert the following polar coordinates into
rectangular coordinates.
(a) 〈2∠45∘〉
x= _____, y= _____.
(b) 〈4∠120∘〉
x= _____, y= _____.
(c) 〈6∠270∘〉
x= _____, y= _____.
(d) 〈6∠300∘〉
x= _____, y= _____.

1) Convert the point (x,y,z)=(−2,5,3) to spherical coordinates.
Give answers as positive values, either as expressions, or decimals
to one decimal place.
(ρ,θ,ϕ)=
2) Convert the point (r,θ,z)=(2,2π,4) to Cartesian coordinates.
Give answers either as expressions, or decimals to at least one
decimal place.
(x,y,z)=
3) Convert the point (ρ,θ,ϕ)= (5,5π/3,3π/4) to Cartesian
coordinates. Give answers either as expressions, or decimals to at
least one decimal place.
(x,y,z) =

Change the function on the cylindrical coordinates: r sec θ = 4
into the function on the Cartesian coordinates

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