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Maths
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What is the natural logarithm?

The standard rule for integration is: integrate kx^n dx = kx^(n+1)/(n+1). However, if we try and integrate 1/x in this manner we get, x^0/0, i.e. 1/0, which is infinity. However, if we look at a graph of ...

EH
Answered by Eden H. Maths tutor
5004 Views

Dipen and Nisha are planning a wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct?

Prices are: £40 per guest. Total cost reduced by 5% with over 60 guests. 

First, we work out the cost of Nisha's suggestion.

£40 x 70 guests = 2800

To find 5% ...

LM
Answered by Lily M. Maths tutor
7588 Views

How do I solve a quadratic equation?

The best way to solve a quadratic function is to put brackets into the equation.

Start with an example

Find x when y=0 for the function 

y=x*2 + 5...

RB
Answered by Rosiered B. Maths tutor
4499 Views

Differentiate y = (3x − 2)^4

We recognise that this is in the form of a function within a function, i.e u= 3x - 2 is within the u^4 function, therefore here we will use the chan rule to differentiate the equation. 

T...

WI
Answered by Wajiha I. Maths tutor
16939 Views

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Ok so we need to get 'y' by itself on the left hand side of equal sign. We will first try to remove the denominator by multiplying 'x' by (3+4y). This gives (3+4y)x = 1 - 2y.

We will then...

WI
Answered by Wajiha I. Maths tutor
17779 Views

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