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Given an integral of a function parametrized with respect to an integer index n, prove a given recursive identity and use this to evaluate the integral for a specific value of n.

This exercise is interesting as it combines a variety of concepts fundamental to integration and maths in general. It also allows to introduce the student to the idea of recursion, very o...

Answered by Marco C. Maths tutor
2291 Views

Evaluate Aschs research (5 marks)

Upon further research conducted, Aschs research is shown to be a child of its time as a pose to an innate human behaviour. Aschs research was repeated in 1980 by Perrin and Spencer where they found that o...

Answered by Psychology tutor
3824 Views

You are given that n is a positive integer. By expressing (x^2n)-1 as a product of factors, prove that (2^2n)-1 is divisible by 3.

X2n-1 = (xn+1)(xn-1) Therefore we can say 22n-1 = (2n+1)(2n-1) . As 2n is always even, a multiple of 3 is always either going t...

Answered by Abraham L. Maths tutor
7633 Views

A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius

To find the centre and radius of the circle, you need to get the equation into the form (x - a)2+ (y - b)2= r2. You can do this by rearranging to bring the x and y parts t...

Answered by Martha B. Maths tutor
7002 Views

The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.

Answering the question by acknowledging the student understands what the question is actually asking. The subject of the formula sits by itself on one side of the equation and doesn't app...

Answered by Alice-Kate R. Maths tutor
8665 Views

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