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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
20465 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
9244 Views

Given that y=(4x^2)lnx, find f"(x) when x=e^2

Product rule: first order derivative = 8xlnx+4x Second order derivative = 8lnx+12 Sub in e^2 , 16lne + 12 = 24

JH
Answered by Johnny H. Maths tutor
5377 Views

Textbooks are stored on 2 shelves. Each shelf is 0.72m long and each textbook is 30mm wide. Can 50 textbooks be stored on these 2 shelves?

First off, we better convert the 30mm into m. Now, we know that in 1cm there are 10mm. So in 2cm, there are going to 20mm and in 3cm there are going to be 30mm. So each textbook is really 3cm thick. Now, ...

JD
Answered by Jack D. Maths tutor
9514 Views

What is the difference between differentiation and integration, and why do we need Calculus at all?

We need calculus to find out the properties complex curves that we cannot find with simple arithmetic as we would with linear graphs. Differentiation allows us to calculate the gradient of a curve at a sp...

SH
Answered by Samuel H. Maths tutor
10853 Views

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