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A Soda Company is planning to change its

product design to make it more appealing to the

market. As an engineer of the said company, your

product manager asked you to design a new soda

container which can hold a volume of 500 mL.

The proposal of your design should come with a

blue print to be presented to the Board. The

Board would like to see the concept used, its

practicality, accuracy of computation, and the

organization of the report.


solve the D.E. y(n)-y(n-2)+y(n-3)=delta (n)


Apply Lagrange’s formula to find f(5) and f(6) given that f(2) = 4, f(1) = 2, f(3) = 8, f(7) = 128 Explain why the result differs from those obtained by completing the series of powers of 2?


Values of f(x) for values of x are given as

f(1) = 4, f(2) = 5, f(7) = 5, f(8) = 4

Find f(6) and also the value of x for which f(x) is maximum or minimum.


What are two different approximations for Euler’s constant ‘
The function f(x;y), defined on pairs of real numbers, satisfies the conditions f(a;a) = 0, f(a; f(b;c)) = f(a;b)+c for any a, b, c. Find f(3.5 ; 7).
The demand and supply functions of a goods are given by:
p=-4QD+120
p=1/2QS+28
where P, QD, and QS denote the price, quantity demanded and quantity supplied respectively. Find the equilibrium price and quantity.
Define steady flow and give one practical example.
Define uniform flow and give one practical example.
Define turbulent flow and give one practical example.
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