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1. substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^...

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...

Recall Pythagoras' theorem. a^2 + b^2 = c^2. Think about this as a triangle, with a and b being the lengths of the 2 perpendicular sides, and c being the length of the hypotenuse. [Drawing on a whiteboard...

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function:

f(x) = 2x^2 + 1 And we differentiate: f...