Find the Length of the Curve $x = t ^ { 3 } - 3 t ^ { 2 } , y = t ^ { 3 } + 3 t ^ { 2 } , 0 \leq t \leq \sqrt { 5 }$

question 93

Multiple Choice

Find the length of the curve $x = t ^ { 3 } - 3 t ^ { 2 } , y = t ^ { 3 } + 3 t ^ { 2 } , 0 \leq t \leq \sqrt { 5 }$ .

• A)81
• B) \(\sqrt { 5 }\)
• C) \(\frac { 171 } { 2 }\)
• D) \(\sqrt { 28 }\)
• E)57
• F) \(\sqrt { 15 }\)
• G) \(105 \sqrt { 5 }\)
• H) \(\sqrt { 30 }\)

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Definitions:

Income Statement

The income statement is a financial report that provides a summary of a company's revenues, expenses, and profits/losses over a specified period.

Sales

Revenue earned from selling goods or services over a certain period.

Percent Change

A measure that indicates the relative difference between an initial value and a final value, expressed as a percentage.

Wrong Amount

The incorrect calculation or entry of a figure in accounting records, transactions, or financial statements.