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y = x^2 − 2*x − 24*sqrt(x) - i) find dy/dx ii) find d^2y/dx^2

Solved by differentiation with respect to x,i) dy/dx = 2 x - 2 - 12 x^(-1/2)ii) d^2y/dx^2 = 2 + 6*x^(-3/2)
DG
Answered by Duncan G. • Maths tutor
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85 cm^3 of 0.05 mol/dm^3 sulfuric acid is used to neutralise 15 cm^3 of sodium hydroxide of an unknown concentration. Given that the chemical formula of the reaction is 2NaOH + H2SO4 => NA2SO4 + 2H2O, find the concentration of the sodium hydroxide.

Firstly, calculate the number of moles of sulfuric acid that reacts with the sodium hydroxide, using the equation; n = MV/1000 , where n is the number of moles, M is the concentration (in mol/dm 3 ), and V i...
JN
Answered by Joshua N. • Chemistry tutor
4194 Views

Why is it important for the medical schools to know you have a hobby?

It's important for the medical interviewers to see that you can handle the stress of getting through the vast amounts of information you have to absorb in the course of your degree. While A level may seems h...
SF
2657 Views

Complete the indefinite integral of 3x^2 + 4x -2/(x^2)

for each of the terms in x, the power to which x is raised increases by 1, and then each term is divided by the new power. A constant of integration is introduced because we were not asked to integrate betwe...
EC
Answered by Ed C. • Maths tutor
4548 Views

Find the equation of a straight line that passes through the points (2,7) and (5,3)

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefore, ...
JN
Answered by Joshua N. • Maths tutor
4017 Views