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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...
first of all you would see that at the bottom of the fraction it is not an integer so first of all you would need to rationalise the denominator. the denominator is the bit at the bottom of the fraction. ...
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