Top answers

Integrate xlnx with respect to x

1/2 *x 2 *lnx -1/4x 2 +C
MP
Answered by Matilda P. • Maths tutor
3512 Views

What is the binomial distribution and when should I use it?

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, within each experimen...
TE
Answered by Taylor E. • Maths tutor
3539 Views

Differentate sin(x^2+1) with respect to x

y = sin(x 2 +1) In general, the chain rule is: dy/dx = f(g(x)) = df/dg * dg/dx Applying this to y: dy/dx = d(sin(x 2 +1))/d(x 2 +1) * d(x 2 +1)/dx = cos(x 2 +1) * (2x) = 2xcos(x 2 +1)
Answered by • Maths tutor
3663 Views

The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.

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(1 3 ) - 7(1 2 ) + 2(1) + 3 = 2-7+2+3=0This tells ...
Answered by • Maths tutor
4047 Views

Solve x^3+2x^2+x=0

Solve x 3 + 2x 2 + x = 0Factorise to get:x(x 2 + 2x + 1) = 0x = 0 or x 2 + 2x + 1 = 0Factorise x 2 + 2x + 1 to get:(x + 1)(x + 1) = 0Solve for x: x = -1, x = -1, x = 0
JG
Answered by Joshua G. • Maths tutor
3752 Views