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Solve the Problem h>0h > 0 , Applying Newton's Method To f(x)={x8,x88x,x<8f ( 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>0h > 0 , applying Newton's method to
f(x)={x8,x88x,x<8f ( x ) = \left\{ \begin{array} { l l } \sqrt { x - 8 } , & x \geq 8 \\- \sqrt { 8 - x } , & x < 8\end{array} \right.
leads to x2=hx _ { 2 } = h if x0=hx _ { 0 } = h and to x2=hx _ { 2 } = - h if x0=hx _ { 0 } = - h when 0<8<h0 < 8 < h .

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Definitions:

Shares Outstanding

Shares outstanding refer to the total number of shares of a company held by all its shareholders, including share blocks held by institutional investors and restricted shares owned by the company’s insiders.

BEP

BEP, or Break-Even Point, is the financial analysis point at which total costs and total revenues are equal, implying no net loss or gain.

Operating Costs

Expenses associated with the day-to-day operations of a business, including costs of goods sold, payroll, and overhead.

Net Sales

Net Sales is the revenue generated from sales of products or services, after deducting returns, allowances for damaged or missing goods, and discounts.

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