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Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1

The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.
CW
Answered by Cameron W. • Maths tutor
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A block of mass 5kg moving in a straight line at constant speed travels 50 metres in 14 seconds. Calculate the block's momentum.

p = 17.9 kgm/s. p = mv. v = d/t. p = md/t. p = (5 x 50)/14
CW
Answered by Cameron W. • Physics tutor
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Describe one similarity and one difference between the structures of diamond and graphite.

Answer:Similarity: either: both contain carbon atoms ; or: both have strong covalent bonds between the atoms Difference: either: graphite structure has layers whereas diamond structure does not ; or: graphit...
TD
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Discuss how and why vital rates may change over time, you should refer to rates such as birth rate, death rate, infant mortality, fertility rate and life expectancy

Vital rates may change over time for many reasons such as stages of development, conflict, government policies and the general evolvement of people. Throughout this answer I will discuss how and why the rate...
LH
Answered by Lydia H. • Geography tutor
2809 Views

‘Natural Law offers the most reliable response to the issues raised by contraception’ Discuss.

Natural law is a deontological theory that is most commonly associated with St Thomas Aquinas, a theological ethicist and philosopher. The theory derives what is good and evil from the rational nature of hum...
LH
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