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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...
(See whiteboard for step by step process) First, we write down the function we want to integrate (3x2), and include the limits at the top and bottom of our integration sign to show that it's a definit...
This differentiation requires use of the chain rule. The first step is to differentiate the whole thing, treating the bracket as u, so u=1+2x2. Therefore we are differentiating u1/2....
First thing to do is to find the stationary point of the curve. This is done by differentiating the function and then equating to zero, as the gradient of the stationary point is zero. Setting dy/dx to ze...
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