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(i) Recall that a curve crosses the x-axis (the horizontal axis) when the vertical y-coordinate is zero, so we are required to find all the points such that y=0, that is we must solve the equation x^2...

15x + 8 = 53

15x = 53-8 = 45

x = 45/15 = 3

1. We currently have 80% of the original price and aim to find 100%.

2. We know that 80% is equal to £29.40.

3. Dividing £29.40 by 80 gives the value of 1% which is £0...

1. We aim to factorise the numerator. This would give 6c(c^2 + 5).

2. We then factorise the denominator. This would give 3(c^2 + 5).

3. Since (c^2 + 5) is present in b...

(See whiteboard for step by step process) First, we write down the function we want to integrate (3x2), and include the limits at the top and bottom of our integration sign to show that it's a definit...