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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...

TS
Answered by Ted S. Maths tutor
7253 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
2630 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
2718 Views

Why am I not good at Spanish?

First of all you need to know that learning a language is not easy, so do not worry if sometimes you are struggling with it. It is important to practice as much as you can, to do the homework in the targe...

FC
2172 Views

How do you find the gradient of a linear line just by looking at the graph?

When finding the gradient of a line we need to first locate any two points, on the line, where we know the x-coordinates and we know the y-coordinates. Now, with these two coordinates we need to find two ...

JS
Answered by Jozef S. Maths tutor
2521 Views

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