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Say you are given the equations of both a line and a curve, for example y=x 2 +8x-1 and y=3x-7 , and asked to find where these two intersect. This just means where the two lines would cross or touch if drawn...

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...

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) ...

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...

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...