Determine the Relative Extrema of the Function $y = 2 \cos x + \sin 2 x$

question 48

Multiple Choice

Determine the relative extrema of the function $y = 2 \cos x + \sin 2 x$ on the interval $( 0,2 \pi )$ .

• A)relative minimum: \(\left( \frac { 5 \pi } { 6 } , \frac { 3 \sqrt { 3 } } { 2 } \right)\) relative maximum: \(\left( \frac { 5 \pi } { 6 } , - \frac { 3 \sqrt { 3 } } { 2 } \right)\)
• B)relative minimum: \(\left( \frac { 5 \pi } { 6 } , - \frac { 3 \sqrt { 3 } } { 2 } \right)\) relative maximum: \(\left( \frac { \pi } { 6 } , \frac { 3 \sqrt { 3 } } { 2 } \right)\)
• C)relative minimum: \(\left( \frac { \pi } { 6 } , - \frac { 3 \sqrt { 3 } } { 2 } \right)\) relative maximum: \(\left( \frac { 5 \pi } { 6 } , \frac { 3 \sqrt { 3 } } { 2 } \right)\)
• D)relative minimum: \(\left( \frac { \pi } { 6 } , \frac { 3 \sqrt { 3 } } { 2 } \right)\) relative maximum: \(\left( \frac { 5 \pi } { 6 } , - \frac { 3 \sqrt { 3 } } { 2 } \right)\)
• E)relative minimum: \(\left( \frac { 5 \pi } { 6 } , \frac { 3 \sqrt { 3 } } { 2 } \right)\) relative maximum: \(\left( \frac { \pi } { 6 } , - \frac { 3 \sqrt { 3 } } { 2 } \right)\)

Comprehend the synthesis and mechanism of formation of sulfonium salts.

Understand the role of sulfonium salts in biological systems.

Learn about the use of specific reagents in organic synthesis to achieve desired transformations.

Understand the preparation and reaction mechanisms of epoxides from various precursors.

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