discret math, Mathematics

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What is factoring of polynomials, What is Factoring of Polynomials? Fac...

What is Factoring of Polynomials? Factoring means much the same thing for polynomials as it does for integers. When you multiply several polynomials together, The polyn

Numerical methods, Consider the following interpolation problem: Find a q...

Consider the following interpolation problem: Find a quadratic polynomial p(x) such that p(x0) = y0 p’(x1) = y’1 , p(x2) = y2 where x0 is different from x2 and y0, y’1 , y2 a

Integration of sin ³a.cos ³a , writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.co...

writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6

Prove asymptotic bounds for recursion relations, 1. (‡) Prove asymptotic b...

1. (‡) Prove asymptotic bounds for the following recursion relations. Tighter bounds will receive more marks. You may use the Master Theorem if it applies. 1. C(n) = 3C(n/2) + n

Example of a function - inflection point, 1. (a) Give an example of a funct...

1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4). (b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local min

How to find the range of a function, How to Find the range of a function ? ...

How to Find the range of a function ? Sigh. Students ask me this all the time. They don't want an explanation, they want a procedure. "Tell me the steps!" Unfortunately, th

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