| Use a Maclaurin series to approximate the integral | a/4 cos(x) dx to an accuracy of three decimal aces, namely, so that |error| < 0.001. Clearly state how many terms of the series you are using (for your proximation) and why you chose that many terms.

Q: sin 0 Ex14: Evaluate de using Maclaurin's series, correct to 3 significant figures. Ꮎ

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Q: Σ 00 (-1)"+1 n3 n=1 Approximate the sum of the series by using the first six terms. Show work before…

A: A series is given, we have to approximate the sum of the series by using the first six terms.

Q: Use a power series to approximate the definite integral, I, to six decimal places. 10⁰d +5 dx 1+x7…

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Q: 1 where -1. n=0 n sum of ) 3" n=1 (Hint: This looks like a power series that has been evaluated at a…

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Q: X – tan- 14. dx

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Q: Use a power series and i2 = -1 to prove the identity: sin(x) = eix -e-ix / 2i

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Q: -0.5 Approximate the integral 5x² e-x² dx with an error less than 0.001 using power series.…

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Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to…

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Q: Σ Use the Maclaurin series x" to find a Maclaurin series for the function f(x)= 1-x 2+3x n=0

A: Find  Maclaurin series for the function f(x)=52+3x.

Q: (ü) Compute the integral sin(r²)dx as a series. Then, approrimate the value of the integral as a sum…

A: To solve the integral we have to use the following Maclaurin series: sin…

Q: Explain why the given series is convergent. How many terms of the series do we need to add in order…

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Q: 1 dx o 1+x3 1/2

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