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Knowing that 1-2sin2(x) = cos(2x), substitute sin2(x) as: sin2(x) = (1-cos(2x))/2Use the linearity of the integral to split it into: Int(1/2) - Int(cos(2x)/2)dxWhich is in...
There are two essential tricks to grasp in this question. Firstly, since the equation has only one solution, the Discriminant that will be required would equal 0. Secondly, since we are given f(x) = 2 we ...
log2(x + 3) + log2(x - 3) = 4log2 [(x + 3)(x - 3)] = 4x^2 - 9 = 16x^2 = 25x = 5
We need to first consider the base case, n=0. (We consider the smallest possible value of n as the base case.)7^(80+3) + 2 = 343 + 2 = 345 = 69 * 5, so the statement is true for n=0.Assume true ...
First of all, we bring the 7 to the left side of the equation to get: ex-7+10e-x=0. Then, by multiplying both sides of the equation by ex, we can get an equation in the fo...
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