Set Up and Evaluate a Line Integral to Find the Area

question 98

Multiple Choice

Set up and evaluate a line integral to find the area of the region R bounded by the graph of $x ^ { 2 } + y ^ { 2 } = 25$

• A) \(\frac { 1 } { 2 } \int _ { C } x d y - y d x = \iint _ { R } 1 d A = 25 \pi\) where \(C : x ^ { 2 } + y ^ { 2 } = 25\)
• B) \(\frac { 1 } { 2 } \int _ { C } y d x = \iint _ { R } 1 d A = 25 \pi\) where \(C : x ^ { 2 } + y ^ { 2 } = 25\)
• C) \(\int _ { C } x d y = \iint _ { R } 1 d A = 10 \pi\) where \(C : x ^ { 2 } + y ^ { 2 } = 25\)
• D) \(\int _ { C } x d y - y d x = \iint _ { R } 1 d A = 25 \pi\) where \(C : x ^ { 2 } + y ^ { 2 } = 25\)
• E) \(\frac { 1 } { 2 } \int _ { C } x d y = \iint _ { R } 1 d A = 10 \pi\) where \(C : x ^ { 2 } + y ^ { 2 } = 25\)

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Definitions:

Inventory

The goods and materials a business holds for the ultimate goal of resale, production, or utilisation in the service of manufacturing or providing services.

Accounts Payable

Liabilities representing amounts a company owes to creditors for goods and services purchased on credit and not yet paid.

Average Days

A measure that typically refers to the average number of days an asset is held or the average number of days it takes for a company to convert certain assets into cash.

Sell Inventory

The process of selling goods that are held for sale in the ordinary course of business, turning inventory into revenue.