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Find the equation of the tangent to y = 2x^2 + 7 at x = 3.

The first step here is to identify what to do. Differentiating the equation y = 2x^2 + 7 will result in dy/dx = 4x. Given that you know that x = 3, you can substitute x = 3 into 4x which gives you 4(3) = 12....
DC
Answered by Danielle C. • Maths tutor
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(https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2013/Exam-materials/6666_01_que_20160624.pdf) Question 6.(i)

First split up the fraction into partial fractions as this is more easily integrated. It can be seen that the denominator has factors y and (3y+2), therefore we can say the original fraction is equal to part...
TJ
Answered by Tom J. • Maths tutor
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How to find the nth term of a quadratic sequence?

Find the difference between each term in the sequence. Then find the second difference, i.e. the difference between each of the primary differences. Divide this by 2, to give you the coefficient of n^2. Now ...
SK
Answered by Sawan K. • Maths tutor
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Give the possible values of x when x^2 - 5x + 4 = 0

First, when faced with a question like this you must factorise the expression. So we need to factorise x 2 -5x+4 into 2 linear parts. (Linear terms are terms without any powers of x). To do this, we need to ...
SD
Answered by Sam D. • Maths tutor
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Question: Expand (p + 2)(p - 5)

Expanding - or geting rid of brackets. Make sure you multiply everything by everything! Correct: p 2 +2p -5p -10 = p 2 -3p -10 Wrong: p 2 + 2p -5 ...forgot that the -5 also needs to be multiplied by (p+2) Wr...
AN
Answered by Abdul N. • Maths tutor
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