Newton’s method

QUESTION 1

Newton’s method is a method for solving equations. Explain the process, how it works in detail and why you would use it.

QUESTION 2

Solve using:
Newton’s method.
another method

Compare answers (i) and (ii) giving a clear explanation of why the answers are same/different

QUESTION 3

Solve using Newton’s method (real solutions only).

How many solutions did you find and why are there this many solutions? Explain this clearly.

QUESTION 4

A sales company is starting a new venture. A business analyst has formulated a mathematical model to predict the company’s revenue, R (in thousands of dollars) at any time t (in years) where

R(t) = 〖63x〗^3- 200x^2+ 100x+5

and the company’s expenses E, (in thousands of dollars) at any time t (in years) where

E(t) =28x^2+ 12x+13

Find the break even points and determine when a profit will be generated. Explain reasons clearly.

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