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By definition, dn/dt = - λ N ,
If you separate the variables which contain N and t, and then integrate w.r.t N and w.r.t t you get,
lnN = -λt + C (1),
...

In order to achieve the highest marks possible in A Level Fine Art, you must continuously make sure that you are hitting all of the Assessment Objectives (AOs) at different stages along your path. This ca...

You will be given the equationThis reaction is an electrophilic substitution which is the most common reactions among benzene groups that you will come across at A levelThe question tells you that it is a...

After the filtrate in the nephron undergoes Selective Reabsorption in the Proximal Convoluted Tubule, it then travels to the Loop of Henle. The Loop of Henle is a ‘U’ shaped structure found in the Medulla...

We use the product rule with u=x and v=ln(x) (so u'=1 andv'=1/x) to differentiate xln(x) to ln(x)+1, and -x just differentiates to -1, hence we have. f'(x)=ln(x).
Now note that ln(x^3)=3ln(x) using p...