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How can the trapezium rule be used to estimate a definite integral?

Are we comfortable with an integral being the area under a curve on a graph? Well we'll draw a curve and think about how we could estimate this area. Would you agree that we could chop up the area under the ...
JS
Answered by Joseph S. • Maths tutor
3571 Views

Factorise x^2 -7x+10, and hence solve x^2-7x+10=0

Firstly, it is important to recognise that the answer will need to be in the form of two pairs of brackets because the question is asking us to factorise a quadratic equation. The equation only has a single ...
GT
Answered by Gareth T. • Maths tutor
6659 Views

How do you perform implicit differentiation?

Implicit differentiation is used when the function you need to differentiate is not in the form y = f(x). For example: y 4 + 3x 2 - 10 + 2y 2 = 4xThe first step is to differentiate each term of the equation ...
TF
Answered by Toby F. • Maths tutor
1986 Views

Solve x^2 = 4(x-3)^2

First expand the bracket (x-3) 2 separately to give x 2 - 6x +9 Next multiply by the 4 outside the brackets to give 4x 2 -24x +36 Now all the terms have been expanded you can collect the like terms in the eq...
JV
Answered by Joe V. • Maths tutor
4282 Views

Solve the simultaneous equations: 12x - 4y = 12 (1) and 3x + 2y = 12 (2)

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations) 12x + 8y = 48 (3) (3) - (1) 12y = 36 Divide through by 12 y = 3 Sub y = 3 into equation (2) 3x + 2(3) = 12 3x + 6 = 12 3x ...
RJ
Answered by Rees J. • Maths tutor
5161 Views