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i) dy/dx=12x^3-24x^2ii) the stationary points occur when dy/dx = 0 so we must find the solutions to 12x^3-24x^2=0.12x^3-24x^2= 12x^2(x-2)=0Therefore our stationary points are when 12x^2=0 ie x=0 and x-2=0...

1/2 *x²*lnx -1/4x²+C

In statistics, we use the binomial distribution to model situations when we take an experiment (like rolling a die) and we repeat that experiment a certain number of times. Importantly, w...

12,000 x 0.95^5=9285.37 7-5=2 9285.37x1.02^2=9660.50

y = sin(x²+1) In general, the chain rule is: dy/dx = f(g(x)) = df/dg * dg/dx Applying this to y: dy/dx = d(sin(x²+1))/d(x²+1) * d(x²+1)/dx = cos(x²+1...