Find the area between the graphs\( x = \sin ( 8 y ) \)and\( x = 1 - \cos ( 8 y ) \)over the interval\( 0 \leq y \leq \frac { \pi } { 16 } \)in the figure.

(Use symbolic notation and fractions where needed.)

\( A = \square \)

Find the volume of the solid obtained by rotating the region\( B \)in the figure about\( x = 9 \).

Assume\( b = 6 \)and\( a = 9 \).

(Use symbolic notation and fractions where needed.)

volume:

Write the equation of the asymptote(s) for the function graphed below. Enter "DNE" in the answer blank if an asymptote does not exist.

Vertical Asymptote (lower\( x \)-value):

Vertical Asymptote (higher\( x \)-value):

Horizontal Asymptote:

Graph\( y = 14 t - 7 t ^ { 2 } \)

Use the graphing tool to graph the equation.

Click to enlarge graph

Find the volume of the solid obtained by rotating the region enclosed by the graph of\( f \)over the given interval about the line\( x = 4 \).

\( f ( x ) = x ^ { - 4 } , [ - 5 , - 4 ] \)

(Use symbolic notation and fractions where needed.)