3. (a) On most computers, the computation of Ja is based on Newton's method. - a = 0, and show that it can be Set up the Newton iteration for solving x2 written in the form 1 Xn + a Xn+1 = n > 0 Xn (b) Derive the error and relative error formulas 1 Va – Xn+1 2.xn vā ¿(*x – »^) ya Rel(xn)l´ 2xn Rel(xn+1) Hint: Apply (3.19). (c) For xo near Ja, the last formula becomes Rel(xp+1) - [Rel(x„)I², n > 0 - Assuming Rel(xo) = 0.1, use this formula to estimate the relative error in X1, X2, Xз, аnd x4.

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Q: Simplify. Assume all variables ar (s^((7)/(4)))/(s^((1)/(3))) Write your answer in the form A

A: Explanation of the answer is as follows

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A: We find domain of the logarithmic function f(x)= logax.   Where, a > 0 is a constant.

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Q: II. Find the first derivative of the following functions 1) S(x) = [√² + (x¹+4)*]* 10

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A: Topic:- algebra and calculus

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Q: By= In(Cx-2)

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: