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.
-3x-6=2x-1
5x=-5
x=-1
y=-3(-1)-6
y=3-6
y=-3
hope this helps!
Answer:
x=-12
Step-by-step explanation:
4x−2(x+1)=3x+10
Step 1: Simplify both sides of the equation.
4x−2(x+1)=3x+10
4x+(−2)(x)+(−2)(1)=3x+10(Distribute)
4x+−2x+−2=3x+10
(4x+−2x)+(−2)=3x+10(Combine Like Terms)
2x+−2=3x+10
2x−2=3x+10
Step 2: Subtract 3x from both sides.
2x−2−3x=3x+10−3x
−x−2=10
Step 3: Add 2 to both sides.
−x−2+2=10+2
−x=12
Step 4: Divide both sides by -1.
−x/−1=12/−1
x=−12
Answer:
x=−12
We know that
[<span>the area of the rectangle]=L*W
L=1/3 yd
W=2/3 yd
</span>[the area of the rectangle]=1/3*2/3---------> 2/9 yd²
the answer is 2/9 yd²
You can get the answer by dividing the number 57 by the decimal of the percent thirty-eight (.38), you see you multiply a decimal by a number or a number by a decimal to get a smaller number, whereas dividing like you do here gets and bigger number. ( In this case the answer to your question) So in conclusion 57 divided by .38 = 150, your answer.