Proof : Every Integer Greater than 11 is the Sum of Two Composite Integers

Show that every integer greater than 11 is the sum of two composite integers.

Euclidean Algorithm : Finding the Greatest Common Divisor

Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.

Proof : Prime Triplets

Show that there are no "prime triplets", that is numbers p, p+2, p+4, that are primes other than 3,5,7.

Consecutive Composite Integers

a) find the smallest 5 consecutive composite integers. b) find one million consecutive composite integers.

Real Analysis : Proof using Summation Integrals

For numbers a1,....,an, define p(x) = a1x +a2x^2+....+anx^n for all x. Suppose that: (a1)/2 + (a2)/3 +....+ (an)/(n+1) = 0 Prove that there is some point x in the interval (0,1) such that p(x) = 0

Real Analysis : Proof using an Integral and Mean Value Theorem

For numbers a1,....,an, define p(x) = a1x +a2x^2+....+anx^n for all x. Suppose that: (a1)/2 + (a2)/3 +....+ (an)/(n+1) = 0 Prove that there is some point x in the interval (0,1) such that p(x) = 0

analysis proof 2

Note: If you have already answered this exact question please do not answer it again. I would like an answer from a different T.A. Thanks Say abs = absolute value. Suppose that the function f:[a,b]->R is Lipschitz; that is , there is a number c such that: abs(f(u) - f(v)) <= (c)abs(u-v) for all u and v in [a,b]. Let P ...continues

Intervals

Please see the attached file for full problem description Find ten real numbers in the closed interval [0,1] such that for each value m from 2 to 10, the numbers lie so that there is one of them in each of the open intervals [Note that these conditions for m = 1,2……,10 all have to hold simultaneously for your one ...continues

Random Number Generator

For the equation RAND = (ac+m)MOD MAX , if the set of random numbers is known, is it possible to calculate a,c and m?

Matlab help for solving non-linear equations

[note: suggested number of credits may be modified if necessary] Hi, Part (1/2) I need help/advice in solving non-linear equations using Matlab. My focus is on the - Bisection method - Regula falsi - Muller's method (if possible) I have seen programs for the above methods on the internet, but I could not see *e ...continues