Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \tan x$

question 143

Essay

Write the word or phrase that best completes each statement or answers the question.
- $f ( x ) = \tan x$ is defined over the interval $\left[ 0 , \frac { 3 } { 2 } \right]$
(a) Approximate the area A by partitioning $\left[ 0 , \frac { 3 } { 2 } \right]$ into 4 subintervals of equal length and choosing $u$ as the left endpoint of each subinterval.
(b) Approximate the area A by partitioning $\left[ 0 , \frac { 3 } { 2 } \right]$ into 8 subintervals of equal length and choosing us the right endpoint of each subinterval.
(c) Express the area A as an integral.
(d) Use a graphing utility to approximate this integral to three decimal places.

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Definitions:

Total Cost

Total cost is the complete cost of production that includes both fixed and variable costs.

Quantity

The amount or number of a material or immaterial good considered as a unit or total.

Average Total Cost

The total cost of producing a given output level divided by the quantity of output, indicating the average expense per unit produced.

Marginal Cost

The rise in financial outlay for the production of an extra unit of a product or service.