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How do I know which sides are the Adjacent, Opposite and Hypotenuse for trigonometry?

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ang...
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Answered by Ted O. Maths tutor
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How would you integrate ln(x) with respect to x?

Consider the function as 1(ln(x)) and then use integrating by parts, where you would differentiate the ln(x) part.
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Answered by William C. Maths tutor
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Solve 5x – 3 > 3x + 11

5x - 3x > 11 + 3 2x > 14 x > 7
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Answered by Isobel M. Maths tutor
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f:x-->2x^2+1 and g:x--> 2x/(x-1) where x is not equal to 1. express the composite function gf as simply as possible

need to put f equation into g equation so replace x in g equation with 2x^2+1 gf : x --> 2(2x^2+1) / ((2x^2+1)-1) then need to simplify (expand brackets) 4x^2 + 2 / 2x^2 divide all by 2 (common factor) gf...
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Answered by Elysa I. Maths tutor
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Factorise 3y^2 + 2y

Factorise = take out common term (y in this case) so divide each by y i.e. 3y^2 / y = 3y 2y / y = 2 thus factorised: = y(3y+2)
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Answered by Elysa I. Maths tutor
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