# Area, Volume, and Arc Length: Making Mercury: Free Fish Sticks Quiz

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**Area, Volume, and Arc Length***R*be the finite region bounded by the graphs

*y*=

*x*

^{2},

*y*= 6 –

*x*, and

*x*= 4. Which picture shows

*R*as the shaded region?

(I)

(II)

(III)

(IV)

*R*be the region bounded by the graphs of

*y*=

*x*and . Which of the following integrals give the area of

*R*?

(I)

(II)

(III)

(IV)

*R*be the region graphed below.

Which of the following integral expressions give the area of *R*?

(I)

(II)

(III)

*r*=

*f*(

*θ*).

What is the area of the shaded region?

*r*= 1 + cos(3

*θ*)?