Newton's Method to Approximate the X-Value of the Indicated Point $\text { successive approximations differ by less than } 0.001 \text {. [Hint: Let } h ( x ) = f ( x ) - g ( x ) \text {.] }$

question 20

Multiple Choice

Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs accurate to three decimal places.Continue the process until two $\text { successive approximations differ by less than } 0.001 \text {. [Hint: Let } h ( x ) = f ( x ) - g ( x ) \text {.] }$
$\begin{array}{l}f(x) =3-x \\g(x) =\frac{1}{\sqrt{x^{2}+4}}\end{array}$

• A)2.651
• B)2.703
• C)2.660
• D)2.764
• E)2.600

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Definitions:

Molecular Formula

The symbolic representation of the types and numbers of atoms in a molecule.

Carbon-Carbon Bond Length

The distance between the nuclei of two carbon atoms linked by a chemical bond in a molecule.

HCH Bond Angle

The angle formed between two hydrogen atoms and a carbon atom in a molecule, significant in determining the molecule's geometric shape.

4-Phenylbut-1-Ene

An organic compound that consists of a four-carbon chain attached to a phenyl group, containing a double bond at the first position.