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First we need to find the complementary function - the solutions of y'' -3y' + 2y = 0. By setting y=Ae^(kx) (A is a constant) we get :A(k^2 - 3k + 2)y = 0. This means k^2 - 3k + 2 = 0 =(k-1)(k-2). If 2 th...

Take 2 vectors on the plane, originating from the same point, that aren't parallel: P1-->P2 = P2-P1 = -4i+3j-kP1-->P3 = P3-P1 = 0i+0k-2kOne can then find the cross product of these two vectors to de...

First I would do the base case (the first value):Test n=1,11¹-6=5. 5 is divisible by 5 therefore true for n=1.
Now we assume true for n=k,11^k-6 is divisible by 5.Next we test n=...

This problem wants you to use De Moivre's theorem to prove a trigonometric identity.We will tackle this problem by taking the left hand side and using theorems and manipulation to show it is equivalent to...

If the point P' is a refection of point P in any plane, then both P and P' line on the line perpendicular to that plane. The equation of such line is easy to find: all we need is a point and the direction...