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Maths
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When do I use Sin, Cos or Tan?

You use these functions when you either have a length and an angle and you are looking for a length or when you have two lengths and are looking for an angle. There is a simple way to remember which one t...

AC
Answered by Aaron C. Maths tutor
12242 Views

There are 30 yellow sweets and 10 black sweets in a bag. Two sweets are taken out at random without replacement. Work out the probability that the two sweets are the same colour.

It is important before proceeding with the question to note down a few key facts. As can be seen by the question there are 40 sweets in total. With probability questions in general it can be easy to remem...

JT
Answered by James T. Maths tutor
8945 Views

Write y = x^2 + 4x + 6 in the form y = (x + a)^2 + b. What is the minimum value of y?

This is an example of completing the square. Notice that when we expand y = (x + a)^2 + b we get y = x^2 + 2ax + a^2 + b. By comparing coefficients (ie, making sure the number x is multiplied by and the c...

NS
Answered by Naomi S. Maths tutor
7563 Views

Find INT{2,1}{x^4 + 3x^2 + 2}

This is a typical AS-level Maths question.

  1. We see it’s a definite integral so start by drawing some big square brackets with the “limits” (2 and 1).

  2. We go through the ex...

AF
Answered by Andrew F. Maths tutor
3927 Views

How could I sketch a graph of y=2x^3-3x^2?

To sketch a graph of an equation, there are several key features to consider. Firstly, we can consider where the graph crosses the x- and y-axes. When x=0, y=0, so the graph goes through the origin. If y=...

LH
Answered by Lawrence H. Maths tutor
12058 Views

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