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3-1=2 2X2 = 4 2-1= 1 =3x^2- 4x
The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule.
The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x...
Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2
Can show working on a whiteboard.
To find the height we first need to find the initial vertical velocity of the stone. This will be equal to 20 * sin(30) = 200.5 = 10m/s. From here we can use SUVAT. In this case s=-h,u=10m/s, v is unk...
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