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How many ways are there to arrange n distinct objects in a CIRCLE?

We recall that the number of ways to order n distinct objects in a STRING is n! (n factorial, n.(n-1).(n-2)...2.1 Familiarity with this is prerequisites for tackling this question)We begin, as is best in any...
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Answered by Max B. • Maths tutor
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Integrate ln(e^x)

This kind of question demonstrates the fact that certain problems can be expressed in much simpler ways so they be easily solved. In this particular example the question can be simplified to "integrate ...
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Answered by Adam T. • Maths tutor
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Integrate x*ln(x)

This example provides us with a better understanding of how "Integration by parts" works. Building an extensive knowledge of Integral calculus requires a lot of work, but once the basics are fully ...
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Answered by Maximilian M. • Maths tutor
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Find the values of x for the equation: x^2 - 8x = 105

When presented with an equation that involves x^2, it is likely to be a quadratic equation. This leads us to rearrange to the equation above into the form of ax^2 + b + c = 0. Therefore the equation can be r...
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Answered by Dhulaxy M. • Maths tutor
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Solve the following to find x. x^2 +3x -10 =0

This is an example of a quadratic equation. One way of solving it wwould be to use the quadratic formula. You can subsitute the values of a, b and c into the formula where a=1 b=3 and c=-10. This will give 2...
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Answered by Nathan C. • Maths tutor
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