Search over 10,000 free study notes

Two lines are perpendicular if the product of their slopes is equal to -1. m1 x m2 = -1

The slope of the given line is equal to 1 / 5. If m is the slope of the line perpendicular to the given line,...

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations ...

To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, ...

To do this question we must first be aware of a few trigonometric identities. 1. sec(x) = 1/cos(x). 2. cos(A + B) = cos(A)cos(B) - sin(A)sin(B). (double angle formula) 3 . sin^2(x) = 1 - cos^2(x) Before d...

To begin, notice that the expression involves 2 functions of x multiplied together, this means we can approach the problem using integration by parts. Integration by parts can be expressed as '∫ u (dv/dx)...