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I would first write out the integral with correct notation, explaining to my tutee exactly what I am drawing and why. I will then explain the 'n+1' rule for integrating simple powers. I will go through th...

Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20.   2/5 X 4/4 = 8/20

This makes the question become (15/20 + 8/20)² 

15/20 + 8/20 = 23/20

Therefore (23...

we have   cos (3x) = 0.5  (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5  (2) the two solutions are y=pi/3 and y=-pi/3 in this interval.  Mor...

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

The gradient of a straight line is the number before the x if it is in the form y=mx+c. So for y=6x+2 the gradient is 6. If the y has a factor, like 2y=6x+2, then you have to divide everything by the fact...