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Express the fraction (p+q)/(p-q) in the form m+n√2, where p=3-2√2 and q=2-√2.

To answer this question, m and n should be whole numbers instead of fractions, without any square root terms in them. To do this, we first find the numerator, p+q, and the denominator, p-q, individually.Nume...
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Is the trapezium rule an exact method of integration?

The trapezium rule is not an exact method of integration, as it approximates the gradient between 2 ordinates to be constant. This method produces an overestimation for convex functions and underestimate for...
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f(x)=6/x^2+2x i) Find f'(x) ii) Find f"(x)

2-12/x^3 36/x^4
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Solve the equation: 2x+3y=8 & 3x-y=23

2x+3y=89x-3y=6911x=77x=7 2(7)+3y=83y=8-14y=-2SOLUTION : x=7, y=-2
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State the conditions under which a binomial distribution can be approximated as a normal distribution, and state how the parameters needed would be calculated.

This is a two - part question. The first part is stating the necessary conditions, of which there are two: the number of trials must be large (more than 50), and the probability of success or failure must be...
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