Use the Maclaurin series cos x = με x9 cos(x9/2) da = 8 Σ /0 n=0 πλη Σ(-1)" . n=0 to approximate the following definite integral with |error|< 0.0003 . (2η)! dx How many terms are needed to reach this approximation? - 198 Σ n=0 ] 1 0

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A: HINT :  USING L-HOOPITAL RULE (differentiate numerator and denominator)

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A: Please check step 2 for the solution.!

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Q: +sin(x)-8x² )dx

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A: Find the value of x

Q: Given (a) (b) [³F(x) dx evaluate each definite integral. f(x) dx = 8 and f(x) dx = [ r3 6 nd [*1(x)…

A: To evaluate the following integrals.

Q: 1) Use a left-hand sum with 4 subintervals to approximate the following definite integral. Round to…

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Q: (a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation sinh(x)…

A: a.LetWe know that the Maclaurin series isThe remainder term isNow,

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Q: e* -cos x 3. Find a way of accurately computing f(x)=- x = 0. to avoid loss of significance near 4.…

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Q: ntegral and indicate the

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Q: .Find the estimate for the root of f(x) = sin x + cos (x² + 1) – 1using Bisection methodx, = 1.5, X…

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Q: tan - -dx is equal to ONE of the following. The integral (HINT: Use Maclaurin series) OA (-1)" Σ o…

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