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Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the...

Original Price x Percentage Multiplier = New Price

Percentage Multiplier = (100-20)/100 = 0.8

OP x 0.8 = £12

OP = £12/0.8 = £15

This is a classic 2-D projectile question.

The best way to solve this problem is to split the velocity into its x and y components.

In the x-direction a projectile has no forces acting on it...

First must recall the formula, of pi multiplied by the integral of y²

After this, the correct integration should be applied, using an appropriate method that the student has learnt

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach ...