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Find the Co-ordinates and nature of all stationary points on the curve y=x^3 - 27x, and attempt to sketch the curve

Firstly we need to find the stationary points, we know that when the first derivative of the curve is equal to 0, this means it is a stationary point as there is no effective gradient. The first derivative i...
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Answered by Ahmed K. • Maths tutor
6458 Views

Write 40 as product of prime factors

Prime numbers are those that only have two factors, the number itself and 1. The two factors cannot be the same. E.g. 2 is a prime number but 1 is not.A prime factor is when a prime number is a factor of ano...
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Answered by Maariya A. • Maths tutor
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y^2-64

So here its similar principle to the previous question but the only difference is that there are no singular y's.So essentially the question reads : y^2 + 0y - 64So in the same way we need factors of 64 that...
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Answered by Maariya A. • Maths tutor
3257 Views

x^2 + 6x + 8

Factorising Quadratics, double bracketsWe want two numbers that multiply to give 8 and add to give 6. Lets list the factors of 8: 1, 2, 4, 8From the list of of numbers above, which 2 can add to give +6?2 and...
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Answered by Maariya A. • Maths tutor
3327 Views

The graph above shows the line y = 3*x^2. Find the area beneath the graph from y = 0 to y = 5.

The area can be found using a definite integral. Integral from 0 to 5 of [3x 2 ] = [x] 5 0 = 5 - 0 = 5
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Answered by Christiana N. • Maths tutor
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