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Maths
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How to complete the square?

This is a handy trick for quadratic equations ax^2 + bx + c = 0.

e.g. (x^2 + 5x + 6). So a = 1, b = 5 and c = 6.

To complete the square, let x^2 + 5x + 6 = 0. Then, take 6 to the other side ...

JP
Answered by Jigar P. Maths tutor
4583 Views

Differentiate y=sin(x)/5x^3 with respect to x

In order to complete this question we need to use the quotient rule (i.e. if an equation is of the form h(x)=f(x)/g(x) then h'(x)=(g(x)f'(x)-g'(x)f(x))/g(x)^2).In our example f'(x)=cos(x),g'(x)=15...

KZ
Answered by Kirill Z. Maths tutor
4080 Views

Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this cas...

MH
Answered by Matthew H. Maths tutor
9591 Views

3x+5y=7 and 9x+11y=13. Solve to find the values of x and y that satisfy both equations.

As there are two unknowns we have to eliminate either the x or the y in order to be able to solve. You can see that in the first equation the x value is a multiple of the x value in the second equation. T...

GS
Answered by Georgina S. Maths tutor
4082 Views

What is Differentiation?

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2.

If you consider the curve, it has a di...

JP
Answered by Jigar P. Maths tutor
4979 Views

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