In Problems 7 to 10 you are given a complex function z = f ( t ) . In each case, show that a particle whose coordinate is (a) x = Re z , (b) y = Im z is undergoing simple harmonic motion, and find the amplitude, period, frequency, and velocity amplitude of the motion. z = 2 e − i t / 2
In Problems 7 to 10 you are given a complex function z = f ( t ) . In each case, show that a particle whose coordinate is (a) x = Re z , (b) y = Im z is undergoing simple harmonic motion, and find the amplitude, period, frequency, and velocity amplitude of the motion. z = 2 e − i t / 2
In Problems 7 to 10 you are given a complex function
z
=
f
(
t
)
.
In each case, show that a particle whose coordinate is (a)
x
=
Re
z
,
(b)
y
=
Im
z
is undergoing simple harmonic motion, and find the amplitude, period, frequency, and velocity amplitude of the motion.
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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