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Find the area under the curve of y=x^2 between the values of x as 1 and 3

First you should express this in the correct format using the integral sign. We need to find the integral with respect to x so include dx in the equation before integrating. To integrate we add one to the...

KP
Answered by Kishan P. Maths tutor
2587 Views

What is a good method to go about sketching a polynomial?

Let's do an example. Sketch: y=x^3 - 2x^2 - x + 2. First we need to find out where the curve crosses the x and y axes. Look at the x axis first. We factorise the expression if we can. The best method ...

CJ
Answered by Charlotte J. Maths tutor
2783 Views

Prove n^3 - n is a multiple of 3

To prove n3-n is a multiple of 3 we rely on a few simple tricks. The first is to factorise the expression.n3-n = n(n2-1)n(n2-1) = (n-1)(n)(n+1)The next trick is...

IH
Answered by Isaac H. Maths tutor
13379 Views

differentiate the following equation: y = x^2 + 2x

Now remember that for differentiating polynomials the power is times by the coefficient and the power is reduced by one. This would mean that the answer now becomes: 2x + 2

SS
Answered by Syed saud H. Maths tutor
2731 Views

In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella.

Once again break down the question:
All prices are reduced by 18%, so sale price is 100% (normal price) - 18% (sale price) = 82%. As we know what the sale price is, but we DO NOT KNOW the normal pr...

KS
Answered by Kenji S. Maths tutor
9575 Views

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