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When do you use Mode, Mean and Median

You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even. Median You shou...
VH
Answered by Varad H. • Maths tutor
15790 Views

Find the tangent for the line y=x^3+3x^2+4x+2 at x=2

Firstly, differentiate the equation y=x 3 +3x 2 +4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x 2 +6x+4 = f'(x) after differentiation. The simple rule is to multiply...
WC
Answered by Wafi C. • Maths tutor
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I don't understand the point of differentiation or integration

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for example ...
GB
Answered by Guido B. • Maths tutor
4007 Views

Solve the inequality x(x+2)>8 for x.

x(x+2)>8 if and only if x^2+2x-8>0 if and only if (x+4)(x-2)>0. There are three cases: x<-4, -4 In the first case x+4<0 and x-2<0, so their product is positive: (x+4)(x-2)>0. Next x+4&gt...
JT
Answered by Joshua T. • Maths tutor
4795 Views

The quadratic equation 2x^2+8x+1=0 has roots a and b. Write down the value of a+b and ab and a^2+b^2.

Since the quadratic has roots a and b, this means it can be fatored as 2(x-a)(x-b)=0. Expanding this out we get 2x^2-2(a+b)x+2ab=0 and matching the coefficients for the terms x^1 and x^0 we get a+b=-4 and ab...
JT
Answered by Joshua T. • Maths tutor
5432 Views