Which equation shows y=−12x+4 in standard form?
1 answer:
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Answer:
The value of the damping coefficient γ is (6/19)√29, which is approximately 1.70058.
Step-by-step explanation:
Given that a certain vibrating system satisfies the equation
u'' + γu' + u = 0
We wish to find the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.
The period of the undamped motion T is 2π
The quasi period T_d is (4π)/√(4 - γ²)
Since the quasi period is 90% greater than the period of the undamped motion, we have
T_d = 1.9T
So that we can finally obtain
γ as 1.70058.
THE STEP-BY-STEP WORKING IS SHOWN IN THE ATTACHMENTS.
<u>Answer:</u>
<u>X:</u> 5
<u>Y:</u> -3
<u>Slope:</u> -
Reasoning: Slope m of a line of the form Ax+By=C equals -
A=3, B=5
M= -