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Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first equ...
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Answered by David S. • Maths tutor
12675 Views

Differentiate y=x*ln(x^3-5)

We can immediately see that more than differentiation rule will be needed here. The expression in question is the product of two smaller expressions, so the product rule may be useful. But to apply the produ...
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Answered by Nat N. • Maths tutor
7331 Views

Find the solutions to x^3+4x^2+x-5=1

These cubic equations are usually fairly simple once the method is known, firstly make the right hand side (RHS) equal to zero by subtracting 1 from both sides: x^3+4x^2+x-6=0 Now the next step is a quick bi...
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Answered by Luke H. • Maths tutor
5295 Views

Solve for 0=<x<360 : 2((tanx)^2) + ((secx)^2) = 1

First step I would take would make it look less intimidating by converting all components into sin and cos i.e 2(((sinx)/(cosx))^2) + 1/((cosx)^2) = 1 Notice that there is a common denominator of cosx^2 so I...
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Answered by Bryan P. • Maths tutor
5985 Views

Find the exact solution to: ln(x) + ln(7) = ln(21)

Log rules: log(a) + log(b) = log(ab) so, in this case, we must find x such that 7x = 21 thus x = 3 similarly, log(a) - log(b) = log(a/b) rearranging the original equation we get: ln(x) = ln(21) - ln(7) so x ...
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Answered by Bryan P. • Maths tutor
7695 Views