(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)=
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...
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)=( ,))
Write procedures using c++ for converting between rectangular
and polar coordinates named xy2polar and polar2xy. Invoking...
Write procedures using c++ for converting between rectangular
and polar coordinates named xy2polar and polar2xy. Invoking
xy2polar(x,y,r,t) should take the rectangular coordinates (x,y) and
save the resulting polar coordinates; (r,theta) are r and t,
respectively. The procedure polar2xy(r,t,x,y) should have the
reverse effect.
Be sure to handle the origin in a sensible manner.
It is useful to explore the following C++ procedures, which are
housed in the cmath header file:
Variants of the absolute value function
int abs(int x)
long...