Search over 10,000 free study notes

1.differentiate the equation using the rule: y=xⁿ , dy/dx= nx^n-12.set dy/dx to =0 as this is where a minimum point occurs (where the gradient of the graph is = 0)3.solve for x4.then,...

Completing the square of a function is sometimes used to find the stationary points on a curve, and also to solve when equaling zero. To complete the square firstly we have to halve the middle value of th...

Given a ODE of the 2nd order, Ay''+by'+cy = 0, we assume the general solution of the exponential form y=e^(mx).As we will see this leads to an easy simplification due to the properties of the exponential ...

This is done using the integration by parts method.Answer: (e^x)((x^2) - (2x) - 2) + c

100% = 4.00
(divide both sides by 100 to find equivalent of 1%)
1% = 0.04
(multiply both sides by 52, to find value of 52%)(if struggling, multiply 4 by 50, then 4 by 2, and add the two pro...