Solve the Problem $h > 0$ , Applying Newton's Method To $$f ( x ) = \left\{ \begin{array} { l l } \sqrt { x - 8 } , & x \geq 8 \\- \sqrt { 8 - x } , & x < 8\end{array} \right.$$

question 369

Essay

Solve the problem.
-Show that if $h > 0$ , applying Newton's method to
$$f ( x ) = \left\{ \begin{array} { l l } \sqrt { x - 8 } , & x \geq 8 \\- \sqrt { 8 - x } , & x < 8\end{array} \right.$$
leads to $x _ { 2 } = h$ if $x _ { 0 } = h$ and to $x _ { 2 } = - h$ if $x _ { 0 } = - h$ when $0 < 8 < h$ .

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Definitions:

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The process of determining the percentage of body weight that is comprised of fat, using various techniques such as BMI, skinfold measurements, or bioelectrical impedance.

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The complex set of chemical reactions that occur within a cell to maintain life, involving energy production and synthesis of necessary compounds.

Deficiency Diseases

Health conditions that arise due to a lack of essential nutrients in the diet, such as vitamins and minerals, leading to various symptoms and health issues.

Vitamins

Organic compounds essential for normal growth, metabolism, and bodily function, often obtained through diet or supplements.