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Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions

x = i is a solution, and all the coefficients are real, so x = -i must also be a solution:2x^3+3x^2+2x+3 = 0(x+i)(x-i)(Ax+B) = 0 (we argued above that this must be the case)(x^2+1)(Ax+B) = 0(x^2+1)(2x+3) = 0...
BS
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Calculate the integral of e^x*sin x

1/2 *e^(x)(sin x -cos x)
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Find the equation of the tangent to curve y=5x^2-2x+3 at the point x=0

y=5x 2 -2x+3 Differentiate to find the equation of the gradient of the curve dy/dx=10x-2 Substitute x=0 to find the gradient at the point x=0 dy/dx=-2 y=5 0^2-2 0+3 Substitute x=0 into the original equation ...
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Solve the equation 2x^3 - 5x^2 - 4x + 3 = 0.

In order to answer this question, the expression on the left side of the equation needs to be factorised. This can be done in three stages. 1) finding a factor by subbing in common integers (0, +/- 1, +/-2, ...
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Schreibe eine Einführung zum Thema: Todesstrafe ja oder nein?

Start broad and then narrow down on the question. You could start with an example that explains what the death penalty is and what the issue behind it could be. Then tease your arguments. What could be an ar...
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