Set Up, but Do Not Evaluate, an Integral for the Length

question 18

Multiple Choice

Set up, but do not evaluate, an integral for the length of the curve.
$$y = 2 e ^ { x } \sin x , \quad 0 \leq x \leq \frac { 3 \pi } { 2 }$$

• A)
• \(L = \int _ { 0 } ^ { 3 x / 2 } \sqrt { 1 - 4 e ^ { 2 x } ( 1 + \sin 2 x ) } d x\)
• B)
• \(L = \int _ { 0 } ^ { 3 x / 2 } \sqrt { 1 + 4 e ^ { 2 x } ( 1 - \sin x ) } d x\)
• C)
• \(L = \int _ { 0 } ^ { 3 x / 2 } \sqrt { 1 + 4 e ^ { 2 x } ( 1 - \sin 2 x ) } d x\)
• D)
• \(L = \int _ { 0 } ^ { 3 x / 2 } \sqrt { 1 - 4 e ^ { 2 x } ( 1 - \sin 2 x ) } d x\)
• E)
• \(L = \int _ { 0 } ^ { 3 x / 2 } \sqrt { 1 + 4 e ^ { 2 x } ( 1 + \sin 2 x ) } d x\)

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Definitions:

Loss On Realization

Occurs when the actual amount received from the sale of an asset is less than its carrying amount on the books.

Statement Of Partnership Equity

A summary of the changes in each partner’s capital in a partnership that have occurred during a specific period of time.

Partner Capital

The amount of money and resources contributed by partners in a partnership that is allocated to their individual capital accounts.

Capital Accounts

Ledger accounts that show the investment amounts of owners or shareholders in a company.