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The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.

The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this fo...
ES
Answered by Emma S. • Maths tutor
3522 Views

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
4140 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
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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
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