(1 point)
Convert the following point from rectangular to cylindrical
coordinates:
(4√2,−4√2,9)
(r,θ,z)=
(1 point)
Convert the following point from rectangular to cylindrical
coordinates:
(4√2,−4√2,9)
(r,θ,z)=
Given any Cartesian coordinates, (x,y), there are polar
coordinates (?,?)(r,θ) with −?2<?≤?2.−π2<θ≤π2.
Find polar coordinates with...
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)=( ,))
Plot the point whose spherical coordinates are given. Then find
the rectangular coordinates of the point....
Plot the point whose spherical coordinates are given. Then find
the rectangular coordinates of the point.
(a) (7, π/3, π/6)
(x,y,z)= (____)
(b) (8, π/2, 3π/4)
(x,y,z)= (____)
Plot the point whose spherical coordinates are given. Then find
the rectangular coordinates of the point....
Plot the point whose spherical coordinates are given. Then find
the rectangular coordinates of the point.
(a) (8, π/3, -5)
(x, y, z)
=(_________)
(b) (8, -π/2, 6)
(x, y, z)
= (__________)
1) Convert the point (x,y,z)=(−2,5,3) to spherical coordinates.
Give answers as positive values, either as expressions,...
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) =
Find the rectangular coordinates of the point whose spherical
coordinates are given. (a) (1, 0, 0)...
Find the rectangular coordinates of the point whose spherical
coordinates are given. (a) (1, 0, 0) (x, y, z) = (b) (14, π/3, π/4)
(x, y, z) =
1.
Convert the Cartesian coordinates of (122m,10m) to polar
coordinates.
A. (11.49m, 4.69°) B. (122.4m, 4.69°)...
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...