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y = x³ + 1.5x² -6x Hence, dy/dx = 3x² + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y co...

There are 2 methods to solving this- the visual method and the kinesthetic method. Here I will use the visual one. We start by creating a vector triangle. We are going to use R = P + Q, where R is the res...

(1.) Integrate the expression for acceleration to find an expression for velocity: Velocity v = t^2 - 3t + c        When t = 0, velocity = 2. Substituting in to find constant c, 2 = 0 + 0  + c therefore c...

Differentiation is essentially a method of finding the gradient of a function. To put that in better terms, imagine you have a graph of y=x, this is a straight line which means the gradient will always be...

First of all we need to find a common denominator. This is the smallest number that can be divided by both 5 and 8, which is 40.

24/40 + 35/40

Method: 5 goes into forty 8 times and so we mus...