Solve the Problem $\theta ( 0 \leq \theta < 2 \pi )$

question 268

Multiple Choice

Solve the problem.
-For what values of $\theta ( 0 \leq \theta < 2 \pi )$ do maximum $r$ -values occur on the graph of the polar equation $r = 2 \sin 4 \theta$ ? Note that a maximum $r$ -value occurs at a point that is the maximum distance from the pole.

• A) \(\frac { \pi } { 8 } , \frac { 5 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 13 \pi } { 8 }\)
• B) \(0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }\)
• C) \(\frac { \pi } { 8 } , \frac { 3 \pi } { 8 } , \frac { 5 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 11 \pi } { 8 } , \frac { 13 \pi } { 8 } , \frac { 15 \pi } { 8 }\)
• D) \(0 , \frac { \pi } { 4 } , \frac { \pi } { 2 } , \frac { 3 \pi } { 4 } , \pi , \frac { 5 \pi } { 4 } , \frac { 3 \pi } { 2 } , \frac { 7 \pi } { 4 }\)

Understand how changes in price affect total revenue for products with different demand elasticities.

Analyze the impact of price changes on consumer expenditure.

Understand the relationship between price elasticity of demand and slope of the demand curve.

Explain the implications of elasticity on pricing and marketing strategies.

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