Single Variable Calculus 8th Edition By James Stewart – Test Bank

1. Find parametric equations to represent the line segment from .

2. Find the point(s) on the curve where the tangent is horizontal.

____ 3. Find the length of the curve. Select the correct answer.

a.
b.
c.
d.
e. None of these

4. Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

5. Find the exact area of the surface obtained by rotating the given curve about the x-axis.

6. The curve cross itself at some point . Find the equations of both tangent lines at that point.

____ 7. Find the polar equation for the curve represented by the given Cartesian equation. Select the correct answer.

a.

b.

c.

d.

e.

8. Find the length of the polar curve.

9. Find the surface area generated by rotating the lemniscate about the line .

10. Find the area of the region that lies inside the first curve and outside the second curve.

Answer Key

1.
2.

3. D

4.
5.
6.

7. C

8.
9.
10.