find the third-order Fourier approximation to f on 3p, p4.7

Rational Expressions 2/15/16 Relatively Prime numbers that aren’t prime but their least common denominator is those two numbers multiplied together. Ex. 8 and 9. Prime Polynomial does not factor into polynomials of a smaller degree. To Add Fractions: 1. Find the least common denominator. 2. Multiply the denominator of each fraction to make the least common denominator. 3. Add the numerators. Fractions “Rule of Thumb” with variables in the denominator, the least common denominator is always the largest power. Rational Expressions “Rule of Thumb” If you can, factor out a nontrivial (not 1) greatest common factor first. Rational Expression P/Q, where P and Q are polynomials and Q ≠ 0; the numerator can be zero as long as the denominator isn’t. Domain set of all allowable values that we can plug in to get a denominator ≠ 0. Addition / Subtraction a/c + b/c = a+b/c Multiplication / Division a/c x b/d = a x b/ c x d m n mn Quotient Rule m > n, a / a = a Rational Exponent a = ( √a) , n ≠ 0 Index the superscript on the root symbol, indicates degree to which the root is taken. Ex. square root has an index of 2, cube root index of 3, etc. Radicand the value within the root symbol. **When faced with a negative exponent, make it positive** When Radicals are Simplified: 1. Radicand will have no factor raised to a power greater than or equal to the index. 2. The radicand has no fractions. 3. Exponents and indices are relativel