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Integrate ln(x) by parts then differentiate to prove the result is correct

Integrating by parts requirez recognition that ln(x) is equal to ln(x) multiplied by 1. Making u equal to ln(x) should make the integration trivial. Differentiation is a simple use of the product rule and...

JD
Answered by Joshua D. Maths tutor
4556 Views

Solve ((3x+2)/(x-1)) +3 =4

The equation looks horrible to start so we need to tidy it up. We do this by firstly getting rid of the fraction. This means that we need to multiply everything else by the denominator (which in this case...

RH
Answered by Rebecca H. Maths tutor
8712 Views

The line AB has equation 3x + 5y = 7. Find the gradient of line AB.

First, let's make y the subject of the equation.

Let's achieve this by having only y on the left hand side of the equation. To do this we need to minus 3x from both sides of the equation. This leav...

TO
Answered by Tom O. Maths tutor
5462 Views

Solve 5x – 2 > 3x + 11

Let's temporarily replace the inequality sign ">" with "=".

This gives us: 5x - 2 = 3x + 11.

If we subtract 3x from both sides we are left with:

2x - 2 = 11.

TO
Answered by Tom O. Maths tutor
19748 Views

The volume of liquid in a container is given by v=(3h^2+4)^(3/2)-8, find dV/dh when h = 0.6

Chain rule: dV/dh=9h(3h^2+4)^(1/2)
sub in h=0.6 , dV/dh = 12.17

JH
Answered by Johnny H. Maths tutor
8855 Views

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