Linear Algebra: Vectors - Inner Product

Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5. Show that ||X||1=sum i=1 to n of the absolute value of Xi. Show that ||x||infinity= max (1<=i<=n) of the absolute value of Xi. Thank you for your explanation.

Scientific notation

A human being has about 2.5 X 10(to the 13th power) red blood cells in her bloodstream. There are about 2 white blood cells for every 1,000 red blood cells. How many white blood cells are in a human's bloodstream? Please show your answer in scientific and standard notation.

Scientific notation

A number written in scientific notation is doubled. Explain why the exponent of 10 may or may not change.

Polynomials

Here is what the problem asks for: Give an example of a polynomial function f of degree 5 such that the only real roots of f(x) are -2,1,6 and f(2)=32. Show that your example works and leave f(x) in factored form.

Rational Expression : Addition

Please see the attached file for the fully formatted problems. Add the rational expression 5x/x-3 + 2/x - 6/x^2-3

Add the rational expression

5/x-3 + 2/x-2 - 6/x+1

Simplify the Expression

Please see the attached file for the fully formatted problems. -6/x-2 / 8/3x-6

Simplify the Expression

Please see the attached file for the fully formatted problem. (y2 + y - 12)/(y3 +9y2 + 20y)/[(y2-9)/(y2+3y2)]

Simplify the Expression

Please see the attached file for the fully formatted problems. Simplify the following expression: 1/[1 + 1/(1 + (1/x))]

Solve the Equation

Solve the following equation: X = 1 + (2x + 1)^1/2