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Given the function f(x) on the right solve the following root finding questions: a) Find a...

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Advance Math

Given the function f(x) on the right solve the following rootfinding questions: a) Find a positive root (x > 0) of f(x) usingthe Bisection Method

. b) Find a negative root (x < 0) of f(x) using the BisectionMethod.

c) Find a positive root (x > 0) of f(x) using the FalsePosition Method.

d) Find a negative root (x < 0) of f(x) using the FalsePosition Method. Find your initial Bracket via Trial-and-Error. Use| fM | < 0.0001 as the Stopping Criteria. Calculate and presentall quantities with at least 4 decimal digits. Examine functionf(x) whose plot given below. Major grid lines correspond to wholeunits and minor grid lines correspond to quarter units. Let f'(x)be the derivative of f(x) and F(x) be the indefinite integral off(x).

f(x) = 0.5*x² + 10*x - 50 / x² - x + 10

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