- A) $\sqrt { 23 } e ^ { t } - 3 \sqrt { 3 }$

question 77

Multiple Choice

$\text { Find the arc length parameter along the curve from the point where } t = 0 \text { by evaluating } s = \int _ { 0 } ^ { t } | v ( \tau ) | d \tau \text {. }$
- $\mathbf { r } ( \mathrm { t } ) = \left( e ^ { t } \cos t \right) \mathbf { i } + \left( e ^ { t } \sin t \right) \mathbf { j } + 5 e ^ { t } \mathbf { k }$

• A) \(\sqrt { 23 } e ^ { t } - 3 \sqrt { 3 }\)
• B) \(\sqrt { 23 } e ^ { t } - \sqrt { 23 }\)
• C) \(3 \sqrt { 3 } \mathrm { e } ^ { t } - \sqrt { 23 }\)
• D) \(3 \sqrt { 3 } e ^ { t } - 3 \sqrt { 3 }\)

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Definitions:

Earnings Per Share

A financial ratio representing the portion of a company's profit allocated to each outstanding share of common stock.

Net Income

The total earnings of a company after subtracting all expenses and taxes from total revenue, representing the company's profit.

Outstanding Stock

Capital stock that has been issued and is being held by stockholders.

Weighted-Average Number

A calculation that takes into account the varying degrees of importance of the numbers in a data set, used to find a kind of average that considers weight.