Solve the Problem $y = 2 x + 4 \sin x$

question 342

Multiple Choice

Solve the problem.
-Does the graph of the function $y = 2 x + 4 \sin x$ have any horizontal tangents in the interval $0 \leq x \leq 2 \pi$ ? If so, where?

• A) Yes, at \(x = \frac { 2 \pi } { 3 }\)
• B) Yes, at \(x = \frac { \pi } { 3 } , x = \frac { 2 \pi } { 3 }\)
• C) \(\mathrm { No }\)
• D) Yes, at \(x = \frac { 2 \pi } { 3 } , x = \frac { 4 \pi } { 3 }\)

---

Definitions:

Ethanol Program

A government or industry initiative designed to promote the use of ethanol, typically derived from corn or sugarcane, as a renewable energy source.

Conservation Reserve Program

A land conservation program administered by the Farm Service Agency (FSA) aimed at improving environmental health by reserving land for various conservation purposes.

Ethanol Program

A government initiative aimed at promoting the use of ethanol, a renewable fuel derived from plant materials, to reduce dependence on oil and decrease greenhouse gas emissions.

American Consumers

Individuals or groups in the United States who purchase goods and services for personal use.