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Integrate 3 sin(x) + cos(2x)

Here is an example of integration where you would use the chain rule. You would begin by integrating 3sin(x) to get -3cos(x) and then cos(2x) to get 1/2sin(2x). This is because whatever is multiplied by the ...
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Answered by Dannielle S. • Maths tutor
8839 Views

How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

Find the direction vector of line 1 Find the scalar product of the direction vectors of lines 1 and 2 Calculate the magnitude of both direction vectors Use (equation on whiteboard) to find the cosine of the ...
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Answered by Mark M. • Maths tutor
4056 Views

Why would a cell lyse when it's in water?

Lysis, or the bursting of a cell, happens because of a cell swelling excessively causing it to burst, due to the movement of water into the cell by osmosis. However, this isn't the case for all cells! Osmosi...
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Answered by Ashar A. • Biology tutor
21251 Views

What is an electron volt?

Electron volts, like joules, are a unit of energy. This may sound confusing- why two? But think of it this way; length has two possible units- metric (metres) and imperial (inches). We can use either units t...
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Answered by Nicholas M. • Physics tutor
26457 Views

How do I build up and retain a sufficient level of vocabulary?

The need to build up a sufficient level of vocabulary and retain it is extremely important when taking on the written and oral componants of the A level exams both when it comes to to comprehension and expre...
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Answered by Joshua E. • French tutor
2201 Views