Use the following ?gure as an aid in identifying the relationship between the rectangular, cylindrical, and spherical coordinate systems. For the following exercises, the cylindrical coordinates ( r , θ , z ) of a point are given. Find the rectangular coordinates ( x , y , z ) of the point. 365. ( 4 , 7 π 6 , 3 )
Use the following ?gure as an aid in identifying the relationship between the rectangular, cylindrical, and spherical coordinate systems. For the following exercises, the cylindrical coordinates ( r , θ , z ) of a point are given. Find the rectangular coordinates ( x , y , z ) of the point. 365. ( 4 , 7 π 6 , 3 )
Use the following ?gure as an aid in identifying the relationship between the rectangular, cylindrical, and spherical coordinate systems.
For the following exercises, the cylindrical coordinates
(
r
,
θ
,
z
)
of a point are given. Find the rectangular coordinates
(
x
,
y
,
z
)
of the point.
365.
(
4
,
7
π
6
,
3
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Eliminate the parameter t to find a Cartesian equation for:
x = t and y= 10 + 2t.
wwwsas
and
express your equation in the form
¤ = Ay + By+C.
Then
A =
B =
C =
For the Triangle shown below:
Pi= (0,0,2), P2= (0,2,0), P3-(0,4,2), P4-(0,2,4), P5-(2,2,2).
P4
P5
P3
PI
P2
1. We need to change the size of the triangle to half of the original size.
2. Reflect the object around x-axis.
3. Do the transformation.
PS
P2
P3
A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 120 seconds?
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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