Use a Graphing Utility to (A) Plot the Graphs of the Given

question 42

Essay

Use a graphing utility to (a) plot the graphs of the given functions and (b) find the approximate x-coordinates of the points of intersection of the graphs. Then find an approximation of the volume of the solid obtained by revolving the region bounded by the graphs of the functions about the x-axis. Round answers to two decimal places.
y = x⁵, y = 3x² - x³

---

Definitions:

Minimum Wage Law

Legislation establishing the lowest hourly wage that employers can legally pay their workers.

Unconstitutional

Something that does not conform to the principles or rules set out in a country's constitution, rendering it invalid or unenforceable.

Kelo v. City of New London

A U.S. Supreme Court case deciding on the use of eminent domain to transfer land from one private owner to another to further economic development.

Takings Clause

A clause within the Fifth Amendment to the U.S. Constitution that bars the government from appropriating private land for public benefit without providing adequate payment.