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Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

To prove that (2n+3) 2 -(2n-3) 2 is a multiple of 8 we are going to deal with the first bracket and then the second bracket. When a bracket has 2 next to it, this means that you multiplying the bracket, by t...
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Answered by Sioned D. Maths tutor
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solve sin(2x)=0.5. between 0<x<2pi

1)Take the inverse sin to take x from the sin(2x): 2x=arcsin(0.5). 2)Evaluate arcsin(0.5) to get pi/6: so 2x= pi/6 3)Dividing by 2 to simplify we get x=pi/12. 4)To find the second solution we note that (pi/2...
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Answered by Yinglan Z. Maths tutor
25055 Views

What does it mean when we say childhood is a 'social construct'?

We know childhood as the time we spend as an infant when we are dependent on our parents and naïve to ‘adult’ concepts such as sex, war and suffering. A social construct is a concept created by society, such...
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Answered by Alice W. Sociology tutor
44575 Views

What is the difference between compliance and internalisation?

Both are types of conformity , which is when we change our behaviour to fit in with the majority group. The main distinction between compliance and internalisation is whether or not our personal belief chang...
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Answered by Alice W. Psychology tutor
21938 Views

What is the difference between a Normal Fault, a Reverse Fault, and a Strike-Slip Fault?

Normal Faults and Reverse Faults are &quot;Dip-Slip&quot; Faults - they experience vertical movement, in line with the dip of the fault. They are identified by the relative movement of the Hanging Wall and F...
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Answered by Joseph T. Geology tutor
89610 Views