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The best way to approach this question is to solve it using integration by parts.First, recognise that ln(x) = 1 x ln(x), and set du/dx = 1 and v = ln(x). We then find that u = x, and dv/dx = 1/x.With thi...
The best way to approach this question is by solving it algebraically. By constructing an equation that links the original cost to the current cost (let original cost be X), this would give you X*(1+10%) ...
We need to first consider the base case, n=0. (We consider the smallest possible value of n as the base case.)7^(80+3) + 2 = 343 + 2 = 345 = 69 * 5, so the statement is true for n=0.Assume true ...
Tree diagramP(Head then tail) = p(1-p)=6/25Solve above equationp=2/5 as heads are more likely than tails.
This is a separable differential equation, so the first step is to separate the two variables. Factorise out the x from the top bracket so that the equation becomes: dy/dx = x(y^2+1)/yThe next step is to ...
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