## Two distinct case, Engineering Mathematics

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A) Prove the following theorem by considering two distinct cases. For any integer n, n2 + n is even.

B)  If x = r - s2 and y = 2rs for any integers r and s, then x2 + y2 = z2 for some nonnegative integer z. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement

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parabola

#### MEAN VALUE THEORM, APPLICATIONS OF LAGRANGE''S MEAN VALUE THEORM?

APPLICATIONS OF LAGRANGE''S MEAN VALUE THEORM?

#### 11, y''(x)=2*10^-6*y(x)(100000-y(x))

y''(x)=2*10^-6*y(x)(100000-y(x))

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the solution of diffusion equation by using separation of variables

#### OPERATION RESEARCH, PROCEDURE OF TRACING A CLOSED LOOP

PROCEDURE OF TRACING A CLOSED LOOP

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A young couple requires RM30000 for an overseas trip which they want to make in six years time. How much they have to invest now at 18% p.a. compound interest compounded monthly, t  