
Fresnel
- a. Compute S′(x) and C′(x).
- b. Expand sin t2 and cos t2 in a Maclaurin series and then integrate to find the first four nonzero terms of the Maclaurin series for S and C.
- c. Use the polynomials in part (b) to approximate S(0.05) and C(−0.25).
- d. How many terms of the Maclaurin series are required to approximate S(0.05) with an error no greater than 10−4?
- e. How many terms of the Maclaurin series are required to approximate C(−0.25) with an error no greater than 10−6?

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