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Explain why relations between the USA and the USSR worsened in the years 1947-49? (12 marks)

It is very important when approaching a question like this, to not only consider the number of marks, but likewise the dates given. This question is worth 12 marks, so requires you to focus on around three t...
JH
Answered by Jana H. • History tutor
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A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?

(a) Gradient (m) = (y 2 -y 1 )/(x 2 -x 1 ) = (10-4)/(1-(-2)) = 6/3 = 2 (b) General equation of a straight line: y = mx + c (c = y-intercept) For our straight line: y = 2x + c Test points: 4 = 2(-2) + c ---&g...
SB
Answered by Samuel B. • Maths tutor
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Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax 2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x 2 +5x ...
MJ
Answered by Matthew J. • Maths tutor
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Express cos5x in terms of increasing powers of cosx

De Moivre's theorem: (cos5x + isin5x) = (cosx + isinx) 5 To get cos5x we will need to expand (cosx + isinx) 5 and then take the real parts. Binomial expansion: (cosx + isinx) 5 = (5C0)(cosx) 5 + (5C1)(cosx) ...
CS
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Integrate cos(2x)

The intergral for cosx is sinx, but '2x' must be considered. When differentiating a sinx/cosx function, the '2x' would be differentiated separately and placed in the front (multipling). So when intergating y...
GO
Answered by Gold O. • Maths tutor
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