Search for question
Question

(a) Compute the Maclaurin series of f(x) ==Namely,sin x up to and including 4 terms. \sin x=a_{0}+a_{1} x+a_{2} x^{2}+a_{3} x^{3}+a_{4} x^{4} Hence, using the terms up to and including x³, find the approximate root of the equation \frac{\sin x}{x}=3 x+1 / 4 between 0 and 1. b) Obtain the general solution to the following second order differential equation: y^{\prime \prime}(x)-5 y^{\prime}(x)+6 y(x)=8 x^{2}-2 x+2 .

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7