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Example (18) 1 G(s) = 52 +3 5+4 Determine the duration for transient to decay to...
Fill in the blanks. $1+1 SO s+371 To S+1 5+2 Example 1: Find the solution to...
Fill in the blanks.
$1+1 SO s+371 To S+1 5+2 Example 1: Find the solution to the initial value problem y" + 3y' + 2y = t satisfying y(0) = 1 and y'(0) = 0. Solution: Step 1: Take the LT of this IVP: (s2Y(s) – sy(0) – y'(0))+3(sY(s) – y(0)) + 2Y(s) = 1! 53 +382 +1 (52 + 35 + 2)(s) – 5 – 3 = which leads to Y(5) s2+3+2 s? (s2+3+2) Step 2: Write Y(s) in...
A time interval begins at time 2 s and ends at time 5 s. The duration of...
A time interval begins at time 2 s and ends at time 5 s. The duration of this time interval is [ Select ] ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10" s. The durations of two consecutive time intervals are given by 2 s and 5 s. The duration of the combined time interval is [ Select ] ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10"] s. When calculating the duration of a time interval given...
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31...
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31 750 N 1.000.000 500,000 250,000 125,000 62,500 31.250 15.625 7813 3.506 1.953 977 51 6 500 7 BI . 101 250 125 0 tie 21.234.41516171819, 1012 Time in multiples of A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour - 60 minutes, 1 minute = 60 seconds (a) Find its decay constant in year...
Constant Growth Model P=D1/(K-g) Example 1 Example 2 Example 3 Example 4 Example 5 Example 6...
Constant Growth Model P=D1/(K-g) Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 D1 2.05 4.1 1.25 2.15 6.35 2.25 K 11% 15% 8% 18% 12% 13% g 9% 10% 5% 10% 5% 8% P= 0.041 0.205 0.0375 0.172 0.4445 0.1125 Calculating D1 = (1+g) * D0 D0 2.25 3.75 1.25 1.5 4.25 2 D1 2.43 4.125 1.3125 1.65 4.4625 2.16 K 13% 15% 8% 18% 12% 13% g 8% 10% 5% 10% 5% 8% P= 0.1215 0.20625...
fill in the blanks. b a d (s+1) S-1 5+1 st-2s +1 Example 3: Find the...
fill in the blanks.
b a d (s+1) S-1 5+1 st-2s +1 Example 3: Find the solution to the 4th order IVP y'' - 2y" + y = 0, y(0) = 1, y'0) = -1, y"0) = 0, and y'" (0)=2. Solution: Step 1: Take the LT of this IVP: (s*Y(s) - sy(0) - say'(0) - sy"(0) - y" (0)) - 2 (s2Y(s) - sy(0) - y'(0)) + Y($) = 0 so (s* – 252 + 1)Y(s) – 53 +52...
1.) G(S) H(s) = 1 40 (5+2)(5+3) 5+4 a.) Find Gain margin and determine if its...
1.) G(S) H(s) = 1 40 (5+2)(5+3) 5+4 a.) Find Gain margin and determine if its stable b.) Find the gain that makes the system marginally stable.
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s)....
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
Question 1 5 Use the example in the video tutorial for the bond duration of a...
Question 1 5 Use the example in the video tutorial for the bond duration of a 10-year semi-annual coupon bond, what is the Macalay Duration of the bond if the coupon rate is 5% and YTM is 9%? Group of answer choices 7.448 6.84 7.895 7.59 Question 2 Using the same bond maturity, now change the coupon rate to 3% and YTM to 5%. What is Macalay Duration? Group of answer choices 8.571 8.163 7.762 7.392 Answer both if possible...
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it...
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the max imum speed is acted on by a net force its speed at the end of 2 secs F parabrla t (s) 3 2
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
Fill in the blanks.
$1+1 SO s+371 To S+1 5+2 Example 1: Find the solution to the initial value problem y" + 3y' + 2y = t satisfying y(0) = 1 and y'(0) = 0. Solution: Step 1: Take the LT of this IVP: (s2Y(s) – sy(0) – y'(0))+3(sY(s) – y(0)) + 2Y(s) = 1! 53 +382 +1 (52 + 35 + 2)(s) – 5 – 3 = which leads to Y(5) s2+3+2 s? (s2+3+2) Step 2: Write Y(s) in...
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31 750 N 1.000.000 500,000 250,000 125,000 62,500 31.250 15.625 7813 3.506 1.953 977 51 6 500 7 BI . 101 250 125 0 tie 21.234.41516171819, 1012 Time in multiples of A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour - 60 minutes, 1 minute = 60 seconds (a) Find its decay constant in year...
fill in the blanks.
b a d (s+1) S-1 5+1 st-2s +1 Example 3: Find the solution to the 4th order IVP y'' - 2y" + y = 0, y(0) = 1, y'0) = -1, y"0) = 0, and y'" (0)=2. Solution: Step 1: Take the LT of this IVP: (s*Y(s) - sy(0) - say'(0) - sy"(0) - y" (0)) - 2 (s2Y(s) - sy(0) - y'(0)) + Y($) = 0 so (s* – 252 + 1)Y(s) – 53 +52...
1.) G(S) H(s) = 1 40 (5+2)(5+3) 5+4 a.) Find Gain margin and determine if its stable b.) Find the gain that makes the system marginally stable.
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the max imum speed is acted on by a net force its speed at the end of 2 secs F parabrla t (s) 3 2
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
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