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Maths
A Level

What is (5+3i)*(3+5i)

The idea here is to explain to the student that i^2=-1, and to expand and simplify the brackets in question just like they would with simple algebra. Therefore:
(5+3i)*(3+5i)=15+25i+9i+15i^2=15+34i-1...

Answered by Sebastian K. Maths tutor
2607 Views

|2x+1|=3|x-2|

x=1x=7

Answered by Harry K. Maths tutor
2905 Views

Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis

First find the coordinates of the point in question:We know x=0By plugging this into the equation of the line we get y=(0-2)2 = (-2)2 = 4Therefore the point is (0,4)
To find the...

Answered by Alec J. Maths tutor
3106 Views

How do I find the limit of a sequence that is expressed as a fraction?

There are a number of ways of looking at the limiting behaviour of a fraction. Let’s look at three examples:1) a(n) = 2n+1/7n —> divide into two separate terms, that both clearly converge. 2) b(n) = 2/...

Answered by Zayn S. Maths tutor
2378 Views

What is the chain rule?

The chain rule is a rule that is used when calculating the derivative of a function. If you have a function within a function, i.e. f(g(x)), then the derivative is calculated as follows: df/dx = (df/dg)

Answered by Arjun K. Maths tutor
2517 Views

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