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Find the indefinite integral of x^8*ln(3x) using integration by parts

For this method we need to choose our u and dv/dx. Using the Late method (Logarithm, algebra, trigonometric, exponential), we can pick our u value which will be ln(3x). du/dx is therefore 1/x, using the chai...
JB
Answered by Joel B. • Maths tutor
6332 Views

There are 12 counters in a box, 5 red and 7 blue. 2 counters are taken out at random without replacement, what is the probability that they are the same colour?

We need to consider two possibilities, you could either pick out two blues or two reds. To find the total probability we work it out for each individually and then add them together. We can find the probabil...
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Answered by Christopher R. • Maths tutor
5879 Views

Explain and analyse Descartes' modal argument for dualism.

In the modal argument, Descartes attempts to support his theory of substance dualism by arguing that the only thing we can be absolutely certain of is our own mental existence. This argument is best captured...
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Answered by Aoife K. • Philosophy tutor
6521 Views

Briefly describe the key differences and similarities between Prokaryotic and Eukaryotic Cells

Differences Prokaryotes are much smaller than eukaryotic cells. Prokaryotic cells are 0.5-5 microns in diameter compared to eukaryotic cells which are approx 50-100 microns. Another difference is that prokar...
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Answered by Oliver W. • Biology tutor
11307 Views

A car costs £1200 in a sale. It was reduced by 20%. What was the original price?

£1200 is 80% of the original price.We need to find what 100% of the original price is.if £1200 is 80% then to find 1% we can divide it by 80. 1200/80=15 £15 is 1% of the original price to find 100% we can mu...
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Answered by Luke F. • Maths tutor
6321 Views