Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \sqrt { x ^ { 2 } + 1 }$

question 19

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-s $f ( x ) = \sqrt { x ^ { 2 } + 1 }$ is defined on the interval $[ 0,4 ] .$ In (a) and (b), approximate the area under $f$ (to three decimal place follows:
(a) Partition $[ 0,4 ]$ into four subintervals of equal length and choose $u$ as the left endpoint of each subinterval.
(b) Partition $[ 0,4 ]$ into four subintervals of equal length and choose $u$ as the right endpoint of each subinterval.
(c) Use a graphing utility to approximate the actual area A.

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Definitions:

Increasing Returns

An increase in firm’s output by a larger percentage than the percentage increase in its inputs.

MC

Marginal Cost, the change in total production cost that comes from making or producing one additional unit.

ATC

Average Total Cost, which is the total cost divided by the number of goods produced, representing the per-unit production cost.

AVC

Average Variable Cost; the total variable cost divided by the quantity of output produced, indicative of variable costs per unit of output.