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How to do Integration by Parts?

If we are given an integral where the integrand (stuff in between the integral symbol and dx) is a product of two separate functions. we then allow whichever of the functions that will be easier to differ...

JB
Answered by Jonathon B. Maths tutor
3580 Views

How to determine the total time of flight for a projectile launched at an angle theta to the horizontal with an initial speed u?

  1. First, decompose the initial velocity (u) into x and y components using trigonometry. These are x= ucos(theta) and y=usin(theta)
  2. Note that the x (or horizontal) component does not change bu...
JB
Answered by Jonathon B. Physics tutor
8052 Views

Simplify (x^5 * x^8)/(x^4 * x^4).

By using our laws of Indices we know: x^5 * x^12 = x^17 and x^4 * x^4 = x^16

Therefor (x^5 * x^8)/(x^4 * x^4) = x^17/x^16 = x^1 = x.

CM
Answered by Catriona M. Maths tutor
2755 Views

Describe the issues commonly found in shanty towns in rapidly developing urban areas.

Shanty towns are unplanned urban areas, usually on the edges of a large city, with a markedly low quality of living for their inhabitants. They are often incredibly overcrowded, for example Dharavi in Mum...

JF
Answered by Jessica F. Geography tutor
11622 Views

Can you explain the different plate margins?

(NB:this is not a full answer, those taking GCSE or A-Level examinations would need more detail)

Plate margins are the places where the Earth's plates meet and sometimes they are known instead as p...

GB
Answered by Grace B. Geography tutor
2473 Views

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