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Sketching a quadratic

Firstly ensure equation is equal to 0, so all variables are on one side of the equation. Factorize the quadratic to find the x intercepts. Complete the square to find the minimum/maximum point of the curve.I...
AB
Answered by Abraham B. • Maths tutor
3214 Views

Prove the square of an odd number is always 1 more than a multiple of 4

We will start by representing an odd number using algebra. Let n be a integer, i.e. 1,2,3,4,etc. then we can define an odd number as (2n)-1. This is because if a number is of the form 2n it must be even, sin...
TD
Answered by Tutor285427 D. • Maths tutor
36024 Views

How do I use simple integration?

It's a simple process once you know the basics behind it.Let's take X 2 We have been asked to integrate this.The first thing is to always add 1 on to the power.X 3 Next thing is to divide by that same power....
JA
Answered by Jamaal A. • Maths tutor
3449 Views

Solve the simultaneous equations: 1) 6a+b=11 , 2) 5a-2b=19

To solve, first create a common factor for b by multiplying the 1st equation by 2 to get: 12a+2b=22.Now, add the two equations together to get: (12a+5a) + (2b-2b) = (22+19)which is 17a=41 , when simplified.S...
JT
Answered by James T. • Maths tutor
4727 Views

Find the gradient of y^2 +2xln(y) = x^2 at the point (1,1)

The key point in this question is noting that implicit differentiation is a very useful tool, although it is slightly different and looks much scarier than differentiating y = f(x).To do the question, a mix ...
MP
Answered by Mark P. • Maths tutor
3945 Views