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First of all it is important to know that differentiation is the opposite of integration. So if we integrate some function g(x) and get f(x), it means that when we differentiate f(x) we should get g(x). W...

5x - 1 = 3x + 75x = 3x + 82x = 8x = 4

When solving simultaneous equations our goal is always to use the equations given, which each have two unknowns in them, in order to find an equation with only one unknown. In this example, we can see tha...

A=5 when B=7, B=4 when C=5. (Using Ratios, 5:7 & 4:5)
Knowing the relationship between both A & C with B means that we can find the relationship between A&C themselves. (A=5, B=7)*4 ; ...

First I would draw a Diagram of y=x² on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x² we can then equate the sane point to (x, x^2...