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y = 2x cos(3x) + (3x2-4) sin(3x)dy/dx = (2x x -sin(3x) x 3) + (2 x cos(3x)) + (6x sin(3x)) + ((3x2-4) cos(3x) x 3)dy/dx = -6x sin(3x) + 2 cos (3x) + 6x sin(3x)...
Difference between each number is +2Therefore the sequence is 2n + CWhen n = 1 the value is (2x1) + C = 2 + C = 5C = 36nth term is 2n + 3CHECK3rd term should be...
3 x2 + 6 x + 3 = 0 . .../3 x2 + 2 x + 1 = 0(x+1)2=0x+1=0x=-1PROOF3 (-1)2 + 6 (-1) + 3 = 0
In order to find the antiderivative of the function we're given, we first have to study the general structure of the function. This function consists of a sum between cos(2x) and 5. Therefore, we have : F...
A stationary point occurs when the first derivative of the function = 0. The first derivative of f(x) is df(x)/dx = 3x^2 - 27Setting this to zero gives 3x^2 - 27 = 0 -> x = +/- 3To find whether i...
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