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Solve the simultaneous equations: 6x +2y = 2 and 12x - 3y = 18

6x + 2y = 2 and 12x -3y =18 Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x 12x + 4y = 4 and 12x - 3y = 18 Rearrange both equations so that the x ...
JH
Answered by Jack H. • Maths tutor
3829 Views

Given that y = x^4 tan(2x), find dy/dx

Here we have a product of two functions - they are being multiplied together - so we need to use the product rule. The product rule is: if y = u·v, dy/dx = v·u' + u·v' (where f' stands for df/dx). u = x^4 du...
DB
Answered by Douglas B. • Maths tutor
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Find the first four terms in the binomial expansion of (2 + x) ^5

Firstly we must take the 2 out of the bracket, as a binomial expansion must have a coefficent of 1 (2 + x) 5 = 2 5 (1 + 0.5x) 5 Then, it is a good idea to quote the binomial expasion formula (you can often p...
FO
Answered by Fiona O. • Maths tutor
20072 Views

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available fo...
FO
Answered by Fiona O. • Maths tutor
16488 Views

Solve these simultaneous equations: 2x + 5y = 37 and y = 11 - 2x

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusing b...
BR
Answered by Bethany R. • Maths tutor
6437 Views