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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...

First off multiply m and x together. This is -3*5 = -15. Next, add c to the previous result, so -15+1=-14. This gives y=-14

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...