7. Double Integrals

Area And Volume Applications — Quiz

Test your understanding of area and volume applications with 5 practice questions.

Practice Questions

Question 1

Which double integral gives the area of a region $R$ in the $xy$-plane?

Question 2

If $f(x,y)\ge 0$ on $R$, what does $\iint_R f(x,y)\,dA$ represent?

Question 3

What is the volume of the solid under $z=3$ above the rectangle $0\le x\le 2$, $0\le y\le 5$?

Question 4

What is the area of the rectangle $0\le x\le 4$, $0\le y\le 3$?

Question 5

A solid lies between the planes $z=5$ and $z=2$ over a region $R$ with area $6$. What is the volume?