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A curve has equation y = x^3 - 3x^2 -24x + 5, find the x co-ordinates of the two stationary points of the curve and hence determine whether they are maximum or minimum points.

y = x3 - 3x2 - 24x + 5, First, calculate the derivative of y and find its roots when y = 0:dy/dx = 3x2 - 6x -24 = 0 -> x2 - 2x - 8 = 0 -> (x+2)(x-4) = 0Th...

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Answered by Ted S. Maths tutor
7931 Views

Sphere A (mass m), moving with speed 3v, collides with sphere B (mass 2m) which is moving in the opposite direction with speed v. The two spheres then combine, calculate the resulting velocity of the combined spheres.

Sphere A has mass m and velocity +3v so its initial momentum is 3mv. Sphere B has mass 2m and velocity -v so its initial momentum is -2mv. Therefore we can say:3mv - 2mv = Mcvc, wher...

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Answered by Ted S. Physics tutor
2918 Views

Why is it important that the baryon and lepton numbers of an interaction are conserved?

Conservation Laws are useful because they establish fixed rules that physical interactions must follow, which helps physicists to better understand these processes. In particular, they provide a picture o...

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Answered by Ted S. Physics tutor
3319 Views

Can you state and explain the chemistry behind Markovnikov's rule?

Markovnikov's rule states that, during electrophilic addition to alkenes/alkynes, the hydrogen atom in the electrophile will be added to the carbon atom in the alkene/alkyne that is bonded to he most hydr...

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Answered by George P. Chemistry tutor
9969 Views

How many quotes do I need and how do I organise them?

There are many ways to memorise quotes and although it will always be a slog, it can actually be the most fun and rewarding part of revision. Before memorising you've got to organise quotes. A big play or...

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