Minimizing F(x)

Let Q=(0,7) and R=(10,11) be given points in the plane. We want to find the point P=(x,0) on the x-axis such that the sum of distances PQ+PR is as small as possible. To solve this problem, we need to minimize the following function of x. F(x)=?? over the closed interval [a,b] where a=?? and b=??

Derivative Question - Algebraic Function

This is from a Trig/Calculus course...Explain FULLY: If F(x) = x^4 - 2x^3 + 4x^2 - 9 Note: ^ indicates exponant. Find F prime of x. It will be a derivative. I need every step explained clearly as I have a bet riding on this! I need to be able to show every step in order to win my bet.

uniform convergence of series of functions

show that the sum from 0 to infinity of (1-x)x^n does not converge uniformly on [0,1]. What subintervals of [0,1] does it converge uniforlmly on?

implicit differentation

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Second order homogeneous equation

Determine for which values of m the function y=x^m is a solution to the differential equation 3x^2 * y'' + 11x * y' - 3y =0

Euler's method

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Initial value problem

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equation for population P

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Definite integration

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Solve the equation

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