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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