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Use Differentials to Approximate the Arc Length of the Graph y=x2+3y=x^{2}+3

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Use differentials to approximate the arc length of the graph of the equation from P to Q. Round answer to four decimal places. y=x2+3y=x^{2}+3 P (3, 12) , Q (3.2, 13.24)


Definitions:

Net Sales

The amount of revenue a company generates from its operations after deducting returns, allowances for damaged or missing goods, and discounts.

Gross Profit

The financial gain obtained after subtracting the cost of goods sold from total revenue, indicating the efficiency of a company in managing its production and labor costs.

Net Sales

The amount of sales revenue remaining after deducting returns, allowances, and discounts from total sales.

Cost Of Goods Sold

Cost of goods sold (COGS) is the direct cost attributable to the production of the goods sold by a company, including the cost of materials and labor.

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