Top answers

Further Mathematics
A Level

Integrate (4x+3)^1/2 with respect to x.

1/6 * (4x+3)^3/2

CB
5520 Views

What are imaginary numbers and why do we use them?

Imaginary numbers can seem very daunting when you first encounter them. The name is the most confusing part; how can a number be imaginary? Do imaginary numbers really exist? You can think of the set of i...

TH
3094 Views

Find the modulus and argument of the complex number 1+2i

It is always helpful to start by drawing a diagram with a Real and Imaginary axis then plotting the number (in our case 1+2i) on the diagram and drawing a line from the origin to our point. Remember the m...

TC
9979 Views

How do I construct a proof by induction?

There are typically 4 steps: proving the base case, making an assumption, making the inductive step and finally concluding the proof.

The base case consists of proving that a statement is true for ...

AF
3390 Views

Using the definitions of hyperbolic functions in terms of exponentials show that sech^2(x) = 1-tanh^2(x)

tanh(x) = ((ex-e-x)/2)/((ex+e-x)/2) 1 - tanh2(x) = 1-((ex-e-x)/(ex+e-x))2  = ((e2x+...

CB
6478 Views

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