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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

3431 Views

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

5100 Views

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

9181 Views

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

3340 Views

Describe and explain three adaptations of succulent plants that allow them to live in hot and dry conditions.

There are many to choose from here but we'll take the two most important. Many succulents such as cacti have needles instead of leaves. This reduces the amount of water lost via transpiration meaning that...

Answered by Henry P. • Maths tutor

4474 Views