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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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Prove the Quotient Rule using the Product Rule and Chain Rule

given that the chain rule is d/dx(f(g(x))) = g'(x)f'(g(x))given that the product rule is d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x)given that the quotient rule is d/dx(f(x)/g(x)) = (g(x)f'(x) - g'(x)f(x))/(g(x))...
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