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When and how do I use integration by parts?

Integration by parts is used when you would like to find the integral of a composite function made up of two functions of the same variable as which you're integrating with respect to. The formula for this t...
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Answered by Craig Y. • Maths tutor
6078 Views

Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (4) ...
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Answered by Sophie S. • Maths tutor
10597 Views

How do I show two lines are skew?

Skew lines in 3 dimensions are those which are not parallel and do not intersect. Let's take two example lines: l 1 = (2, 2, -1) + λ(3, 1, -3) and l 2 = (1, 0, 1) + µ(6, -4, 9) First we need to show that the...
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Answered by David M. • Maths tutor
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Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x 2 +3x +2=0 = (x+2)(x+1)=0This means we need either x+2 or x+1...
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Answered by Sophie S. • Maths tutor
7836 Views

What is the difference between A.C. and D.C.?

A.C. stands for alternating current, and the current constantly changes direction. D.C. stands for direct current, and the current only flows in one direction.
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Answered by Sophie S. • Physics tutor
5546 Views