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On the same diagram, sketch the graphs of: y = |5x -2| and y = |2x| and hence solve the equation |5x - 2| = |2x|

y = |2x| is a "V" shaped graph with a gradients of 2 and -2 that inflects at the origin (0,0)y = |5x - 2| is a "V" shaped graph with gradients of 5 and -5 that inflects at the point (2...

CP
Answered by Charlie P. Maths tutor
4130 Views

Differentiate x^2 from first principles

Differentiation is about finding gradients of functions. With straight lines we take the "rise of run" - the change in y over the change in x. With curves e.g. f(x) = x^2 we need to use the same...

Answered by Maths tutor
4681 Views

y is inversely proportional to d^2 and when d = 10, y = 4. d is directly proportional to x^2 and when x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.

Firstly, find proportionality equation between the two variables. This should be shown as d = kx^2 and y = b/d^2.Solve to find constants of proportionality of a=6 and b=400. Eliminating for d, find that y...

J(
5299 Views

How would you differentiate between the hypotenuse, opposite and the adjacent in a triangle?

Firstly, in a right angled triangle, the side opposite the right angle is always the hypotenuse which is the longest side in a right angle triangle. Secondly, the side opposite the given angle is your opp...

JC
Answered by Jenny C. Maths tutor
3711 Views

How can I calculate the standard deviation of a data set?

The formula for the variance of a data set can be easily remembered by this catchy phrase: 'The mean of the squares minus the square of the mean'. The standard deviation is equal to the square root of the...

RM
Answered by Robin M. Maths tutor
3622 Views

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