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Our given equation is d²x/dt² + 5dx/dt + 6x = 0, which we need to recognise as a second order differential equation. Therefore we need to begin by solving the auxilary funtion m^...

y= x³ +5x² -6x +4

dy/dx = 3x² +10x -6

...

dy/dx = 3x^2

First, if the question does not already have one, draw a diagram. 

Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you ca...

To find the increase in price, you have to find the change in price and then compare that to the original price. The change in price is found by doing new price-old price (£2.00-£1.50=£0.50). You then fin...