Find all solutions, z, of the equation,
$\displaystyle z^4 - z^3 + 27iz - 27i = 0$
expresing your answers in cartesian form.
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use the complex exponential to evaluate $\displaystyle \int e^{2t} sin(3t) dt$
Limits : 0 to pie/3
Find all solutions, z, of the equation,
$\displaystyle z^4 - z^3 + 27iz - 27i = 0$
expresing your answers in cartesian form.
---------------
use the complex exponential to evaluate $\displaystyle \int e^{2t} sin(3t) dt$
Limits : 0 to pie/3
Is this the sort of work you'd present to your teacher? It's impossible from this 'working' to find your mistakes. Try again - all the working this time please.
$\displaystyle \text{Im} \, \left ( \frac{2-3i}{13} \left[ (e^{(2+3i)t} \right]_{t = 0}^{t = \pi/3} \right ) = ....$