Question

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.

(r, θ) =

(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π.

(r, θ) =

Answer #1

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) =...

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) (−8, 8)
(i) Find polar coordinates
(r, θ) of the point, where
r > 0 and 0 ≤ θ < 2π.
(ii) Find polar coordinates
(r, θ) of the point, where
r < 0 and 0 ≤ θ < 2π.
(b) (4,4sqrt(3))
(i) Find polar coordinates
(r, θ) of the point, where
r > 0 and 0 ≤ θ < 2π.
(ii) Find polar coordinates (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.

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)=( ,))

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 the polar curve r = 2(1+cos theta) find the Cartesian
coordinates (x,y) of the point of the curve when theta = pi/2 and
find the slope of the tangent line to this polar curve at theta =
pi/2

Position and velocity of a point are given in polar coordinates
by R = 2, θ = 35 degrees, and
v = 4R + 3Θ. The 35
degrees is measured positive counterclockwise from the
x-axis on an xy Cartesian coordinate frame. What
is the velocity of the point in terms of i and
j?

The rectangular coordinates of a point are given. Plot the
point.
(−5, 12)
Find two sets of polar coordinates for the point for 0
≤ θ < 2π. (Round your answers to three decimal place

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 19 minutes ago

asked 32 minutes ago

asked 32 minutes ago

asked 38 minutes ago

asked 46 minutes ago

asked 52 minutes ago

asked 52 minutes ago

asked 55 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago