#8. Let a and b be positive constants and the real variable t signify time. Describe...

Question

Question

#8. Let a and b be positive constants and the real variable t signify time. Describe and scetch (or plot) the curves given by

Answer 1

Answer #1

$1=at +ia$ is a horizontal line as the complex component is fixed

Plot is below:

2 8 6 4 2 -2 -6 -8 --2

$2ibe -ib(cos(t)- i sin(t) = -b(sin(t)- i cos (t))$ is a circle of radius b

Plotted below for b=4

2 2 -2 --2

$(at b sin (t)+ i(ab cos(t)$ is given below:

-10 10 15 -15 5 -5

$\blacksquare$

Please do rate this answer positively if you found it helpful. Thanks and have a good day!

Answer 2

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