Question

Change from rectangular to cylindrical coordinates. (Let
*r* ≥ 0 and 0 ≤ θ ≤ 2π.)

(a)

(−8, 8, 8)

3 |

(b) (−3, 3, 5)

Answer #1

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) (-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).
(−9, 9, 9)
(b).
(-5,5sqrt(3), 9)

Change from rectangular to spherical coordinates. (Let ρ ≥ 0, 0
≤ θ ≤ 2π, and 0 ≤ ϕ ≤ π.) (a) (0, −3, 0) (b) (−1, 1, − sqrt 2 )

Change from rectangular to spherical coordinates. (Let ρ ≥ 0, 0
≤ θ ≤ 2π, and 0 ≤ ϕ ≤ π.)
(a) (0, −3, 0):
(ρ, θ, ϕ) = (3, −π 2 , π 2) <---- (WRONG!!!!)
(b) (−1, 1, − 2 ):
(ρ, θ, ϕ) = (2, − π 4 , π 4) <------ (WRONG!!!!)

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

(1 point)
Convert the following point from rectangular to cylindrical
coordinates:
(4√2,−4√2,9)
(r,θ,z)=

The Cartesian coordinates of a point are given.
(a) (5
3
, 5)(i) Find polar coordinates (r, θ) of the point,
where
r > 0 and 0 ≤ θ < 2π.
(r, θ) =
(ii) Find polar coordinates (r, θ) of the point, where
r < 0 and 0 ≤ θ < 2π.
(r, θ) =
(b)
(1, −3)
(i) Find polar coordinates (r, θ) of the point,
where
r > 0 and 0 ≤ θ <...

The Cartesian coordinates of a point are given. (a) (−3, 3)
(i) Find polar coordinates (r, θ) of the point, where r > 0
and 0 ≤ θ < 2π.
(r, θ) =
(ii) Find polar coordinates (r, θ) of the point, where r < 0
and 0 ≤ θ < 2π.
(r, θ) =
(b) (4, 4 sq root3 ) (i) Find polar coordinates (r, θ) of the
point, where r > 0 and 0 ≤ θ < 2π....

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