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markuswalter1043
05.04.2021 •
Mathematics
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
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Ответ:
a) Rigid Transformations
b) Non-Rigid Transformations
Rigid Transformations, as their name indicate, do not alter the size or shape. These include reflection, rotation and translation
Non-Rigid Transformations, do not preserve the size. The shape remains the same. This include Dilation.
The question asks to find a rule which do not preserve the lengths of the sides of the Quadrilateral. So one thing is for sure. The quadrilateral has undergone non-rigid transformation i.e Dilation. Dilation involves both contraction and expansion. So the rule which will either expand or contract the given quadrilateral will be the right choice to the given question.