Find the first four nonzero terms of the Maclaurin expansion of the given function by using the Maclaurin series for cos x. X cos 4X Use Maclaurin for both integrals and square root The integeral | cost at is used in the analysis of beam displacements (and in optics). Evaluate this integral for x = 0.2 by using two terms of the appropriate series. Evaluate the given integral by using three terms of the appropriate series. 0.8 sin x * dx Use three terms of the expansion for :1 + x to calculate the value of 1.6637 Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. f(x) = = (a=2) Evaluate the given function by using three terms of the appropriate Taylor series. 15.8 Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 4 sin 3x Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. e 3X (a=2) Find the first three nonzero terms of the Maclaurin expansion of the given function. 13 f(x) = = 1 - X