Set Up and Evaluate a Double Integral to Find the Volume

question 56

Multiple Choice

Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below. $$z = x y ^ { 2 } , z > 0 , x > 0,5 x < y < 2$$

• A) \(\frac { 7 } { 83 }\)
• B) \(\frac { 125 } { 16 }\)
• C) \(\frac { 83 } { 7 }\)
• D) \(\frac { 16 } { 125 }\)
• E) \(\frac { 32 } { 83 }\)

---

Definitions:

Reputation

The general perception or opinion that the public holds about an individual, organization, or brand, often influenced by past actions and media portrayal.

Cause-Related Marketing

Contributions to a cause or charity based on a percentage of sales revenues.

Doctors Without Borders

An international humanitarian medical non-governmental organization known for its projects in conflict zones and in countries affected by endemic diseases.

Congenital Heart Defects

Birth defects that affect the structure of the heart and its ability to function properly, present from birth.