Set Theory : Solve

If A={1,3,4}, B={2,4,6,8), C=(1,4,5} and the universe is the counting numbers less than, then find the following: A. AUB(B has line over it) B. AU(BnC)

Set Theory : Solve

For A=(a,b,c,d,), B= (x,y,z,) and C= (a,x,p) find: n(BUC) and n(AXB)

Word problem

Aaron's age is 3 times that of Jodi. In 4 years he will be twice Jodis age. Use guess, test and revise to setup an equation representing these facts. Where x is Jodi's age.

Simplify

U to the second, v to the fifth, w to the 3 divided by U to the third v to the third, and W

Simplfy to a single rationale expression

2 - 13 divided by negative 76 + 15

Algebra : Solve for X

-1/3 + 1 over 1x = 5/4

Partial Fraction Decomposition

Please see the attached file for the fully formatted problems. Partial fraction decomposition is a technique used to convert a fraction with a polynomial numerator and a polynomial denominator into the sum of two or more simpler fractions. It eases integration by reducing it to the sum of integrals, each of which will most l ...continues

Partial Fraction Decomposition (using Quadratic Factors).

Solve the integral using partial fraction decomposition. This example has a denominator that is the product of quadratics. Example 1) S (x2 + x +1)/[(x2 + 3x +1)(x2 +4x +2)] dx

Proof by induction

Prove (by induction or any other way) that for any natural n the following is true: 1/(1x2) + 1/(2x3) + ..... + 1/[n(n+1)] = 1 - 1/(n+1)

Simplifying polynomials

Please see attached.