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Sketch the graphs of y = f(x), y = g(x) and find the point(s) where f and g intersect.

f and g can be any linear, quadratic or cubic equation in terms of x, with exponential functions, logarithmic functions and modulus functions etc. May also be given a specific domain given. Sketch first, ...

Answered by Tommy P. • Maths tutor

3476 Views

Find the sum of the first n odd numbers, 1+ 3 + … + 2n-1, in terms of n. What might a mathematician’s thought process be?

[Answer for a Further Maths A level student]: We could just apply the formula for summing an arithmetic series, but this won’t give a good understanding of why the answer we get is correct, which...

Answered by Amlan B. • Maths tutor

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Differentiate the following, y=(2x-4)^3

dy/dx = 3(2x-4)^2 x 2
dy/dx= 6(2x-4)^2
dy/dx =24(x-2)^2

Answered by Charlie G. • Maths tutor

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What marks do I need to achieve an A* grade in A-level Maths?

The A* grade in Maths is awarded to candidates who achieve an A (480 out of 600 UMS) in their overall A Level as well as achieving a combined score of 180 out of 200 UMS in modules Core 3 and Core 4 (i.e....

Answered by Omar C. • Maths tutor

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Given the points (6,6) and (10,8) calculate the gradient of the line passing through them and the point at which it intersects the y-axis?

To find the gradient use the formula:m = (y2-y1)/(x2-x1)Plug in values:m = (8-6)/(10-6) = 1/2Hence gradient = 1/2--Now using the equation for a line y = mx+c and point (10,8)8 = 1/2*10 + cc = 3Hence when ...

Answered by Gilad A. • Maths tutor

3528 Views