Use Differentials to Approximate the Arc Length of the Graph $\mathbf { P }$

question 30

Multiple Choice

Use differentials to approximate the arc length of the graph of the equation from $\mathbf { P }$ to $\mathbf { Q }$ . Round answer to four decimal places. Select the correct answer.
$$y = x ^ { 2 } + 3 ; \quad \mathrm { P } ( 3,12 ) , \quad \mathrm { Q } ( 3.2,13.24 )$$

• A) \(6.0828\)
• B) \(3.6497\)
• C) \(1.2166\)
• D) \(2.4331\)

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Definitions:

Par Value

The face value of a bond, stock, or coupon as stated by the issuer, which is the minimum amount at which the security can be sold.

Preferred Stock

A class of ownership in a corporation with a higher claim on assets and earnings than common stock, typically with dividends that are paid out before dividends to common shareholders.

No-par Common Stock

No-par common stock is issued without a par value, and its value is determined by what investors are willing to pay for it, rather than being stated in the company's charter.

Cash Dividend

A payout to shareholders from a company's earnings in the form of cash.