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Find the stationary points and their nature of the curve y = 3x^3 - 7x + 2x^-1

To start, we need to know that the gradient of the curve at the stationary points is 0 and that when the second derivative is less than 0, there is a maximum and when the derivative is greater than 0, there ...
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Answered by Arjun A. • Maths tutor
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How do I know when a verb takes haben or sein?

The easiest way to think about these verbs when forming the present perfect is to think about what they do. Haben is the verb we use most regularly, and if you are in doubt, it's usually the one to go for. F...
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Answered by Ilona B. • German tutor
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Determine the equation of the line which is perpendicular to y = 2x + 9 and crosses through the point (1,2)

When multiplied together the gradients of perpendicular lines should give the answer - 1So: x 1 x 2 = -1x 1 = 2 x 2 = -1/2It crosses through the point (1,2)y = ax+ ba = -1/2y = 22 = -1/2 + bb = 5/2so the equ...
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Answered by Aneisha D. • Maths tutor
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Explain the advantages of sexual reproduction in plants

A major advantage of sexual reproduction is the increased genetic diversity that it creates. This originates from novel genetic combinations that result from meiosis and the fusing of the gametes thus produc...
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Answered by Iain B. • Biology tutor
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A linear sequence starts: a+2b, a+6b, a+10b, ..., ... The 2nd term has a value of 8. The 5th term has a value of 44. Work out the values of a and b.

We know the values for the 2nd and 5th terms and already have the 2nd term as an equation but not the 5th. Therefore, we need to start by working out what exactly the 5th term is in terms of a and b. From lo...
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Answered by Molly T. • Maths tutor
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