Search over 10,000 free study notes

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14...

plot the coordinates to obtain a straight line graphcalculate the gradient by using the equation m=change in y/change in xfind the point of interception by seeing where the line crosses the y axis, where ...

First, understand the concept of a turning point (zero gradient, implying first derivative is zero at the turning point)How do we differentiate exponentials ( if f(x) = e^g(x) then f'(x) = g'(x)*e^g(x) ) ...

The elimination method
2x + 3y = 83x + 2y = 7
First we multiply one or both of the equations so that one of their like terms share the same coefficients.
2x + 3y = 8 (multi...

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our ...