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When an equation has two or more variables, for example and x and y, more than one equation is need to solve it.  The number of equations needs is equal to the number of variables you have.  For example, ...

This depends entirely on the gradient of the function, which is calculated as (dy/dx).

At (dy/dx)= 0, the function is neither increasing nor decreasing, since the gradient is zero. The max number o...

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statem...

Rearrange (1): y=2x+4

Subsitute this into (2): 4x²+(2x+4)²+20x=0

Simplify and collect like terms: 8x²+36x+16=0

Factorise: (2x+1)(x+4)=0

Therefo...

S = 14.7, U = 19.6, V =,  A = -g, T = t

using s = ut + 1/2 at^2
14.7 = 19.6t + 1/2 -g t^2
1/2 g t^2 - 19.6t + 14.7 = 0

t = (19.6 +- sqrroot(-19.6² - 4 * 0.5 * 9.8 * 14...