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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 = aebt When N = 20, t = 0. We can substitute this in.20 = aeb x 0 ...

JC
Answered by Jack C. Maths tutor
3625 Views

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...

Answered by Maths tutor
3150 Views

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 ...

WH
Answered by William H. English tutor
2747 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 ...

AM
Answered by Alexandra M. Maths tutor
3555 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 easie...

IL
5348 Views

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