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A bus departs from Lancaster at 10.57a.m. The bus arrives at Manchester at 12:13p.m. How many minutes does the bus spend on its journey from Lancaster to Manchester?

76 minutes.

Answered by Aadil V. Maths tutor
1749 Views

Differentiate x^x

(x^x)(ln(x)+1)

Answered by Aadil V. Maths tutor
3305 Views

Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x

u2 = 2 + xx = u2 - 2dx/du = 2u
ʃ x(2 + x))1/2 dx= ʃ xu dx= ʃ u(u2 - 2) dx= ʃ 2u2 (u2 - 2) du= ʃ 2u4 - 4u2 du= [...

Answered by Sonali P. Maths tutor
3648 Views

Please explain (said question) surrounding a proof of 2 equal angles

I would firstly ask them how much they knew about trigonometry, and then guide them through the SoHCaHToA theory. I would use diagrams for this. I would then ask them to spot any ways they could work out ...

Answered by Kate P. Maths tutor
2484 Views

The volume, V, of water in a tank at time t seconds is given by V = 1/3*t^6 - 2*t^4 + 3*t^2, for t=>0. (i) Find dV/dt

The differential of a function is is rate of range of that function. Therefore to find dV/dt, we are finding the rate of change of the volume per unit time.Recall, in order to differentiate a term, e.g. x...

Answered by Samuel W. Maths tutor
6540 Views

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