Question

convert polar coordinates (3, 5pi) to cartesian coordinates.

Answer #2

Note: for any query or explanation in any step kindly mention it in the comment section. I will assist you as soon as possible ?

answered by: anonymous

1.
Convert the Cartesian coordinates of (122m,10m) to polar
coordinates.
A. (11.49m, 4.69°) B. (122.4m, 4.69°) C. (122.4m, 85.3°) D.
(11.49m, 85.3°)
2. Convert the polar coordinates of (135m, 182°) to Cartesian
coordinates
A. (-4.71m, 134.9m) B. (134.9m, 4.71m) C. (-134.9m, -4.71m) D.
(4.71m, 134.9m)
3. A Basketball player shoots from beyond the 3-point arc. The
ball leaves the band with an initial velocity of 8m/s angled 52°
from the horizontal. What are the horizontal and vertical
velocities of the...

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....

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) (−4, 4) (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) (3, 3 3 ) (i) Find
polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ
< 2π. (r, θ) =...

My Notes
Ask Your Teacher
Find the Cartesian coordinates of the given polar coordinates.
Then plot the point.(a)
(4, π)
(x, y) =
(b)
(4, −2π/3)
(x, y) =
(c)
(−4, 3π/4)
(x, y) =

Given any Cartesian coordinates, (x,y), there are polar
coordinates (?,?)(r,θ) with −?2<?≤?2.−π2<θ≤π2.
Find polar coordinates with −?2<?≤?2−π2<θ≤π2 for the
following Cartesian coordinates:
(a) If (?,?)=(18,−10)(x,y)=(18,−10) then
(?,?)=((r,θ)=( , )),
(b) If (?,?)=(7,8)(x,y)=(7,8) then
(?,?)=((r,θ)=( , )),
(c) If (?,?)=(−10,6)(x,y)=(−10,6) then
(?,?)=((r,θ)=( , )),
(d) If (?,?)=(17,3)(x,y)=(17,3) then
(?,?)=((r,θ)=( , )),
(e) If (?,?)=(−7,−5)(x,y)=(−7,−5) then
(?,?)=((r,θ)=( , )),
(f) If (?,?)=(0,−1)(x,y)=(0,−1) then (?,?)=((r,θ)=( ,))

1. You are given the point P in the cartesian coordinates (−4,
−4). Write the point in polar coordinates given the
restrictions:
(a) r > 0, and 0 ≤ θ < 2π. (in these programs, r = 0 is
just defined to be the origin).
(b) r<0andθ∈[0,2π)
(c) Write the point in polar coordinates that represent the
same point P but that
is different than the previous parts.

Convert the following Cartesian equations to polar
equations:
a.) x^2+y^2=64
b.) x^2+y^2=-2y
Greatly appreciated!

1. Convert y^2 =9x into to the full polar coordinates. Show
work.
2. Solve the differential equation with the given initial
condition. dy/dx = (xsinx)/y when y(0)=-1
Thank you.

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) =

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