Chapter 10 Practice Test
Other problems to study:
Area in parametric: p. 759 #5960
Area for polar equations
General: p. 760 #103
Part of a curve: p. 760 #101102
Enclosed by two curves: p. 760 #105
Inner loop of a Limacon
Equations of lines tangents to parametric or polar curves (at a given point, horizontal, vertical, etc.)
Switching between rectangular and parametric
Switching between rectangular and polar
1. 
Find .

2. 
Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

3. 
Find and if possible, and find the slope and concavity (if possible) at the point corresponding to t = 10.
A. 
. At t = 10: slope 22 and concave up 
B. 
. At t = 10: slope –18 and concave down 
C. 
. At t = 10: slope and concave up 
D. 
. At t = 10: slope 18 and concave down 
E. 
. At t = 10: slope and concave up 

4. 
Find the arc length of the curve on the given interval.

5. 
Match the graph with its polar equation.

6. 
Convert the rectangular equation to polar form.

7. 
Convert the polar equation to rectangular form.

8. 
Find the points of intersection of the graphs of the equations.

9. 
Find the length of the curve over the given interval.

For answers click here.