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Write i in terms of an exponential, so i = e^(i pi/2).Then the three roots of i are:z_1 = [e^(i pi/2)]^(1/3) = e^(i pi/6) = sqrt(3)/2 + i/2z_2 = e^[i (pi/6 + 2pi/3)] = e^(i 5pi/6) = -sqrt(3)/2 + i/2z_3 = ...
Trotsky’s involvement in the civil war was particularly vital for the red success. His leadership capabilities meant that the army remained motivated, empowered, and allowed them to fight united by a comm...
dy/dx = (e^x)*(e^(e^x)) which is never equal to zero so it does not have any maximum or minimum.
The first harmonic has wavelength λ1 = 4L and the next harmonic has wavelength λ2 = 4L/3<...
Arithmatic term n, Un= U1+(n-1)d. Where U1 is the first term of the sequence and d is the common difference. U5=U1+4d=6. U1=6-4d. Sum of arithmatic terms up to term n, Sn=n/2(2U1+(n-1)d). S12=12/2(2(6-4d)...
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