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Showing all your working, evaluate ∫(21x^6 - e^2x- (1/x) +6)dx

∫(21x 6 -e 2x -1/x+6)dx To tackle this question, I would do each part separately. Firstly, take 21x 6 ...using the product rule this intergrates like so (21/(6+1))x 6+1 = (21/7)x 7 = 3x 7 Second, e kx always...
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Answered by David G. • Maths tutor
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Why are no supernormal profits made in perfect competition in the long run?

A perfectly competitive market is a market in which there are many buyers and many sellers who all have perfect information. There are many firms in the market who all produce exactly the same product and th...
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Answered by David G. • Economics tutor
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What is meant by the term Shadow Cabinet (5 marks)

The Shadow Cabinet are members of the opposition (currently the Labour party who won the second largest proportion of seats) that sit on the front bench in The House of Commons and are seen as the alternativ...
ZS
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On a speed/time graph: a) how would a constant deceleration be illustrated? b) how would you use the graph to calculate total distance travelled?

To be able to answer this question, you must recall the facts about speed/time graphs: - A straight, horizontal line means there is no change in speed- A straight, vertical line means that there is an instan...
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Answered by Shruti V. • Physics tutor
7702 Views

A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx

To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the answe...
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Answered by Shruti V. • Maths tutor
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