Chapter 10 Practice Test

Other problems to study:
Area in parametric: p. 759 #59-60
Area for polar equations
   General: p. 760 #103    
   Part of a curve: p. 760 #101-102
   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 .

A.
B.
C.
D.
E.
None of the above


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

A.

B.

C.

D.

E.
None of the above.


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.

A.
B.
C.
D.
E.


5.
Match the graph with its polar equation.

A.
B.
C.
D.
E.


6.
Convert the rectangular equation to polar form.

A.

B.

C.

D.

E.



7.
Convert the polar equation to rectangular form.

A.

B.

C.

D.

E.



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

A.
B.
C.
D.
E.
None of the above


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

A.
B.
C.
D.
E.

For answers click here.