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

question 35

Short Answer

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.
$$y = x ^ { 3 } + 3 ; \mathrm { P } ( 1,4 ) , \quad \mathrm { Q } ( 1.2,4.728 )$$

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Definitions:

Anterior Pituitary

A front part of the pituitary gland that produces and releases hormones which regulate various bodily functions.

Gonads

The reproductive organs: namely, in women the ovaries, and in men the testes.

Thymosin

A hormone that promotes the production of certain lymphocytes.

T Cells

A type of white blood cell that plays a central role in the body's immune response by attacking infected or cancerous cells.