Top answers

Consider the function f(x) = 2/3 x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient:

a) Find f ' (x) and f ''(x). f' = 2x 2 + 2bx + 2f'' = 4x + 2bb) You are given that f(x) has a stationary point at x = 2. Use this information to find b.2x 2 + 2bx + 2, x=2Stationary point is when f' = 02(2) ...
CP
Answered by Charlie P. • Maths tutor
4121 Views

Integrate 4/x^2

First of all, I would ask the tutee if they were familiar with the law of integration. i.e. that you increase the power of the variable (x) by 1, then divide by the new power, and if not then I would clarify...
AE
Answered by Ahmed E. • Maths tutor
5996 Views

Solve the simultaneous equations: x^2-y=16 and 2y-4=14x

Equations: (1) x^2-y=16 and (2) 2y-4=14xRearrange (2) to give y:2y-4=14x(+4) 2y=14x+4(/2) y=7x+2call the new equation (3) y=7x+2Put (3) into (1):x^2-(7x+2)=16(expand) x^2-7x-2=16(-16) x^2-7x-18=0(Factorise) ...
HC
Answered by Hollie C. • Maths tutor
4420 Views

integrate 1/((1-x^2)^0.5) between 0 and 1

I would require to demonstrate most of this working and explaining on a white, as a keyboard can not allow a lot of the mathematical notation required to solve this, but once I have a white board I can expla...
Answered by • Maths tutor
3019 Views

Rationalise the Denominator: 5+√2/(√3)

To rationalise the denominator without chainging the value of the equation, multiply both the numerator and denominator by the value of the denominator.( (5+√2)/(√3) )*(√3/√3) = ( (5√3)+√6 )/3
MA
Answered by Mohammed A. • Maths tutor
3789 Views