Use the Following Property of the Definite Integral to Estimate $\int _ { z / 6 } ^ { \pi / 4 } 6 \sin x d x$

question 156

Multiple Choice

Use the following property of the definite integral to estimate the definite integral $\int _ { z / 6 } ^ { \pi / 4 } 6 \sin x d x$ :
If $m \leq f ( x ) \leq M$ on $[ a , b ]$ , then
$$m ( b - a ) \leq \int _ { a } ^ { b } f ( x ) d x \leq M ( b - a )$$

• A)
• \(\frac { \pi } { 2 } \leq \int _ { s / 6 } ^ { x / 4 } 6 \sin x d x \leq \frac { \sqrt { 2 } \pi } { 2 }\)
• B) \(\frac { \sqrt { 2 } \pi } { 4 } \leq \int _ { z / 6 } ^ { s / 4 } 6 \sin x d x \leq \frac { \pi } { 4 }\)
• C)
• \(\frac { \pi } { 4 } \leq \int _ { s / 6 } ^ { s / 4 } 6 \sin x d x \leq \frac { \sqrt { 2 } \pi } { 4 }\)
• D) \(\frac { \sqrt { 2 } \pi } { 2 } \leq \int _ { s / 6 } ^ { \pi / 4 } 6 \sin x d x \leq \frac { \pi } { 2 }\)

Explicate the role of market prices in achieving competitive equilibrium and efficient allocation.

Recognize the limitations of perfect competition in ensuring efficient and equitable outcomes.

Identify the main components and functions of the cardiac conduction system.

Understand the blood flow through heart chambers and associated vessels.

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