Given any Cartesian coordinates, (x,y), there are polar coordinates [math] with [math]
Find polar coordinates with [math] for the following Cartesian coordinates:
(a) If [math] then [math] , [math],
(b) If [math] then [math] , [math],
(c) If [math] then [math] , [math],
(d) If [math] then [math] , [math],
(e) If [math] then [math] , [math],
(f) If [math] then [math] , [math].
Note: You can earn partial credit on this problem.
Decide if the points given in polar coordinates are the same. If they are the same, enter T . If they are different, enter F .
a.) [math]
b.) [math]
c.) [math]
d.) [math]
e.) [math]
f.)[math]
Note: You can earn partial credit on this problem.
Below you are given descriptions (in polar coordinates) of six regions and plots of four of these regions. Match each plot to the correct description. (Note: Values along the axes are given in Cartesian coordinates.)
A. [math]
B. [math]
C. [math]
D. [math]
E. [math]
F. [math]
1. 
2. 
3. 
4. 
Find the distance between the points with polar coordinates [math] and [math]
Distance =
Below you are six Cartesian equations and four polar equations. For each polar equation, identify the corresponding Cartesian equation.
A. [math]
B. [math]
C. [math]
D. [math]
E. [math]
F. [math]
1. [math]
2. [math]
3. [math]
4. [math]
Below you are given six polar equations and plots of four of these curves. Match each plot with the correct equation. (Note: Values along the axes are given in Cartesian coordinates.)
A. [math]
B. [math]
C. [math]
D. [math]
E. [math]
F. [math]
1. 
2. 
3. 
4. 
Find the slope of the tangent line to the polar curve [math] at the point specified by [math]
Slope =
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