The approximation of the root x' of the function f(x) = 2x² + 5 - e* in the interval [3,4]accurate to within 10 2 using secant's method starting with x, = 3.3 and x, = 3.5. %3D Needs 3 iterations O Does not converge O Needs 1 iteration O Needs 2 iterations

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A: Secant Method:- Let a function f(x) then the roots of function f(x) is  xn+1=xn-fxnxn-xn-1fxn-fxn-1;…

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

A:

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A:

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A: I am attaching image so that you understand each and every step.

Q: Use Bisection Method to locate the root of f(x) = 7sin(x)e"(-x) -1 on a closed interval [0,1]. Use…

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Q: If 82 + 5 f(x) + x²(f(x))³ = 0 and f(3) = -2, find f' (3). %3D f'(3) =

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.