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Consider a modification of the previous problem, where there is damping.
3. 2 y" + γy' +80 y = 0
y(0) = -2
y'(0) = 15
a. Find the value of γ for which this IVP is critically damped.
b. Solve the IVP for that value of γ.
c. How many times does the graph of y(t) cross the x-axis?
In a particular scheme for numerically modeling one-dimensional fluid flow, the successive values, u n , of the solution are connected for n ≥ 1 by the difference equation c ( u n+1 - u n-1 ) = d ( u n+1 - 2u n + u n-1 ).
When comparing two population means with an unknown standard deviation you use a t test and you use n-1 degrees of freedom.
a man purchased some shares of stock for 1560. later, when the price had gone up 24 per share, he sold all but ten of them for 1520. how many shares had he bought?
An airplane needs to reach a velocity of 360 km/h to take off. On a 2000 m runway, what is the minimum acceleration necessary for the plane to take flight?
Suppose you have a mean standardized score of 1000 points with a standard deviation of 200 points.
there are 443 tickets sold. There were 57 less student tickets sold than adult tickets. how many adult tickets were sold.
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
A speedboat moving at 40.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.00 m/s2 by reducing the throttle.
Determine the standard form of the equation of the line that passes through (0,5) and (4,0).
Determine the total amount the Bells will pay for their house and how much of the cost will be interest
a business sells brass and steel machine parts. one shipment contains 3 brass and 10 steel parts and costs 48. a
Initially, the depth of water in a tank is 32m . Water drains from the tank through a hole cut in the bottom. At t minutes the water begins drainning, the depth of water in the tank is x metres. The water level changes at a rate equal to (-2t-4).
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