MICHAEL OKPARMUNIVERSITY OF AGRICULTURE UMUDIKE COLLEGE OF ENGINEERING AND ENGINEERING TECHNOLOGY
Course Title: Computational Method. Course Code: ENG 418
Session 2018
Instruction: Attempt any 5 questions only Time: 3hrs
(i) List all of the possible real zeros of the function f(x) = x + 4x? - 9 - 36 ks)
(i Use the remainder theorem to find f (-2) for f(x) = 3x3 + x2+x-5 (4 mks)
(iii) Show that x-2 is a zero of the polynomial fix) = x++2x2-53-6(4 mks)
(iv) Find the other zeroes of the polynomial in equation 1(iii) above (3 mks)
2. (i) Solve the equation 2x²-3x2-2x+3= 0 given that 3/2 is a root (5mics)
(ii) Use Descartes rule of signs to narrow down the number of positive roots after listing the
zeros of the equation X:+8x*+20x +10x2-21x-18–0 (4mks)
(iii) Find at least two possible roots of the equation in question 2 (ii) -(6mks)
3. a) Apply the Runge-Kutta method to solve y' = x - y2 with the initial conditions x = 1,7
for the range x = 100.1)1.2.
b) What is the difference between the Taylor's series and the Maclaurine's series?
Engineering students MOUAU wishes to produce three types of paint: Red, Blo​