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

question 40

Short Answer

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

Calculate marginal revenue product (MRP) based on given data tables.

Understand the factors influencing the demand and supply of labor and other resources.

Analyze the impact of changes in prices of inputs on resource allocation and firm behavior.

Describe the substitution and output effects in response to changes in input prices.

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The level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class in a certain geographic area.