(1) Evaluate
(a) L{t e3t sin2t}
(b) L{t e-2t cos4t}
Solution
you can use the fact that the Laplace operator is linear to get: L{et}+2L{t4}-
L{cos(4t)}+L{10}. That is, you can use linearity to turn your big problem into 4 small ones..
(1) Find all complex solutions—write the solutions in the form a + i.pdf
1. (1) Find all complex solutions—write the solutions in the form a + ib, with
a and b real numbers
for z^3=8
Could someone please do this out with really good explanations for each step. I am studying for
an exam. Could use some help. Thanks
Solution
Z3 =8
Z3 -8 =0
(Z-2)(z2+2z+22)=0
z=2 or (z2+2z+22)=0
z=2 or z=( -2+(4-4(4)) )/2 or z=( -2-(4-4(4)) )/2
z=2 or z= -1 + i 3 or z = -1 - i 3