Search over 10,000 free study notes

To solve this question you need to find a value of x and y which satisfies both of the equations. Simultaneous equations can be solved by three methods: substitution, elimination, and graphically. We will...

Let the lines be:

r₁ = (a, b, c) + t(d, e, f)

r₂ = (g, h, i) + s(j, k, l)

Since t and s above are variables and the rest of the letters are constants, the only w...

Firstly let's take a right angle triangle. Label its sides a,b, c for the hypotenuse. Then arrange 4 of these triangles into a large square, with a smaller square contained within it. The area of the smal...

Integrating this expression is a simple trick. We use integration by parts. For this we need a function we can integrate and a function we can differentiate. We know how to differentiate ln(x) which is 1/...

 We can start with the identity sin²(x)+cos²(x)=1 If we divide through the equation by cos²(x), we get: sin²(x)/cos²(x) + cos²(x)/cos^...