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

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) $2.4331$