Search over 10,000 free study notes

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...

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...

To factorise the equation, we first need to find one of its roots. To do this, we need to find values of x for which f(x)=0.First we will guess x=1.So f(1)=2(1³) - 7(1²) + 2(1) + 3 =...

Solve x³ + 2x² + x = 0Factorise to get:x(x² + 2x + 1) = 0x = 0 or x² + 2x + 1 = 0Factorise x² + 2x + 1 to get:(x + 1)(x + 1) = 0Solve for x: x = -1, ...