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Turning points of the curve y = (9x^2 +1)/3x+2

Use quotient rule to differentiate: dy/dx = (18x(3x+2) - 3(9x 2 +1))/(3x+2) 2 set dy/dx=0: 54x 2 + 36x - 27x 2 - 3 = 0 9x 2 + 12x - 1 = 0 solve quadratic to obtain values of x, and then find corresponding va...
JH
Answered by Jacob H. • Maths tutor
4208 Views

How do I calculate the reactant forces for the supports of the beam where the centre of mass is not same distance from each support?

This can be done by taking moments. To reduce the number of equations a moment should be taken so that one of the forces goes through the centre of place from which moments are being taken. We will choose to...
BW
Answered by Benjamin W. • Maths tutor
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How and when should I integrate by parts?

Analyse the integral, common functions in which integration by parts is the best method include lnx and polynomials of x multiplied by exponential functions or sine and cosine functions. If this is the case ...
BW
Answered by Benjamin W. • Maths tutor
3710 Views

Why do you differentiate in optimisation questions?

When you differentiate a function it is giving you the rate of change of that function for different values of x. After subituting in, if it is positive it tells us that the graph is increasing, if it is neg...
SA
Answered by Simon A. • Maths tutor
5259 Views

f(x)=2x^3-7x^2+4x+4, prove that (x-2) is a factor and factorise f(x) completely

if (X-2) is a factor, f(2)=0 2 2^3-7 2^2+4*2+4= 16-28+8+4=0 therefore (x-2) is a factor. 2x^3-7x^2+4x+4=(x-2)(2x^2-3x-2)=(x-2)(2x+1)(x-2)
BP
Answered by Bryce P. • Maths tutor
5328 Views