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I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?

(In tandem with the whiteboard) Integration is a way of working out the total of something. An example of this is if you see a graph of velocity and time, the area under the graph is the total distance trave...
CM
Answered by Cain M. • Maths tutor
3740 Views

Solve the following equation. (x)^2-8x+15=0

Factors of 15 that add together to make -8: -3 and -5 Factorise: (x-3)(x-5)=0 Solve: x=3 x=5
AC
Answered by Amelia C. • Maths tutor
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Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by dividing ...
CG
Answered by Catherine G. • Maths tutor
6721 Views

What is the area of triangle ABC where AB = 5 cm, BC = 12 cm and angle ABC = 50 degrees?

To find the area of a triangle where the length of the base and perpendicular heights are not known, use the sine rule to find the area. This is: Area = 0.5 x a x b x sin(angle between lengths a and b) Hence...
AS
Answered by Aminah S. • Maths tutor
9637 Views

5, 11, 21, 35, 53, ... Find the nth term of this sequence.

By calculating the difference between each of the progressions, we see that the first difference is 6, the next is 10, then 14 and finally 18. It is easy to observe that the jump increases by 4 each time, an...
MG
Answered by Majed G. • Maths tutor
31133 Views