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Solve the differential equations dx/dt=2x+y+1 and dy/dt=4x-y+1 given that when t=0 x=20 and y=60. (A2 Further pure)

These questions are really mean but if given in the exam give ALOT of marks and whilst scary at first follow a very general pattern. First I would take either equation and re-arrange for the lone variable...

Answered by • Further Mathematics tutor

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Describe how a change in temperature affects enzyme activity.

Enzymes are substrate specific proteins which act as biological catalysts and as temperature increases, we see an increase in enzyme activity. This occurs because an increase in temperature causes molecul...

Answered by Freya H. • Biology tutor

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How do you conjugate verbs into the imperfect tense?

To form the imperfect tense first put the verb into the infinitive and take of its AR/ER/IR ending. Then add either the -aba (I) -abas(You singular) -aba(He/she/it) -ábamos(we) -abais(you plural) -aban(th...

Answered by • Spanish tutor

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Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.

This is an example of a common AS differentiation Q. To find dy/dx simply apply the power rule to each term in the equation. The power rule is if you have a term x^n then dy/dx will be n times x^(n-1). e....

Answered by • Maths tutor

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The weight in grams, of beans in a tin is normally distributed with mean U and S.D. 7.8, given that 10% conntain more than 225g a) Find U b) % of tins that contain more than 225 grams(A2 stats)

for part a) you would need to use the formula (x-U)/S.D.=a where X=200 and S.D.=7.8. The student would need to calculate a with the information given. I here would use standard normal distribution here to...

Answered by • Maths tutor

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