Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
Stewart_Calc_7ET ch15sec01
MULTIPLE CHOICE
1. Evaluate the double integral by first identifying it as the volume of a solid.
a.
b.
c.
d.
e.
2. Use the Midpoint Rule with four squares of equal size to estimate the double integral.
a.
b.
c.
d.
e.
3. Estimate the volume of the solid that lies above the square and below the
elliptic paraboloid .
Divide into four equal squares and use the Midpoint rule.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find an approximation for the integral.
Use a double Riemann sum with and the sample point in the upper right corner to
approximate the double integral, where .
2. Calculate the double integral. Round your answer to two decimal places.
3. Calculate the double integral. Round your answer to two decimal places.
4. Use the Midpoint Rule for double integrals with to estimate the area of the
surface. Round your answer to three decimal places.
SHORT ANSWER
1. The double integral , where , gives the
volume of a solid. Describe the solid.
