Use the 4th degree Taylor polynomial of f(x): answer as a single fraction in lowest terms. = √ centered at 1 to approximate √2. Write your

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A: Since you are asking the solution of question no 2 only. We are answering only the question 2.…

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Q: Prove one of the following formulas from the table of integrals: S: √a²-x²2 a²x + C dx x²√a²-x²

A: Note :-Since you asked multiple questions , according to our policy we can solve only first question…

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Q: (c) Hence compute x6(log x)5 dx.

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A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

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A: given here a differential equation and asked to find the general solution.

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Q: True or false: limx→+0+ f(x) = -2₁f f(x)= 2-X², XLO 2x-2, x10

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Q: calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

A: Solution- We know n=-2