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A quantity N is increasing with respect to time, t. It is increasing in such a way that N = ae^(bt) where a and b are constants. Given when t = 0, N = 20, and t = 8, N = 60, find the value: of a and b, and of dN/dt when t = 12

N = ae bt When N = 20, t = 0. We can substitute this in. 20 = ae b x 0 We know that b x 0 = 0, and that e 0 = 1, so we can replace these. 20 = a x 1 This means that a = 20 N = 20e bt When N = 60, t = 8. We c...
JC
Answered by Jack C. • Maths tutor
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How would you use the following expression to approximate [(4-5x)/(1+2x)(2-x)] when x=5 (A2 pure)

So I cant really answer this question over text however, the method would be using partial fractions to split the two fractions into two, then using a binomial expansion, but the indicies will be negative so...
Answered by • Maths tutor
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How does E. E. Cummings present a critique of jingoism in his poem '"next to of course god america i'?

In '"next to of course god america i', E. E. Cummings presents a critique of empty rhetoric, specifically jingoistic rhetoric (evidenced by Cummings play on the phrase "by jingo"). All but the...
WH
Answered by William H. • English tutor
3639 Views

Find the stationary points of y= 5x^2 + 2x + 7

Stationary points occur when the gradient is 0 so when dy/dx =0 therefore we need to find dy/dx.By using 'down and decrease', we bring down the power and multiply by the coefficient and then decrease the pow...
AM
Answered by Alexandra M. • Maths tutor
4146 Views

What is the equation of a circle with centre (3,4) and radius 4?

The general equation of a circle is (x-a)^2 + (y-b)^2 = r^2 where the centre is (a,b) and radius r. Therefore the equation of this circle is (x-3)^2 +(y-4)^2 = 4^2 ...or 16 Sometimes its easiest to leave in ...
IL
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