Using Newton Raphson's method find the root of the non-linear equation e=lnx-1 with three significant digits accuracy. Start with initial guess to = 2.5.

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A: We are allow to solve first question only .If you need rest of answer please upload it separately…

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A: Above question is solved.

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Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: Q5/ A: Use Linear Regression to fit the following experimental data X 3 2 3 1 6 Y 1 2 10 9 8 05 5 10

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  9. y = e^2x (c1cosx +…

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

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: If F(x) = f(g(x)), where f(−2) = 4, f ′(−2) = 3, f ′(5) = 5, g(5) = −2, and g ′(5) = 4, find F…

A: NOTE: Refresh your page if you can't see any equations. . here we have f(−2) = 4, f ′(−2) = 3, f…

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Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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