Reference no: EM13139507
Laplace Transformations and Inverse Laplace Transformations
1. Find the Laplace transform of 6 cos t + 2e -3t .
2. Find the Laplace transform of 2 cosh t + 2t 3.
3. Find the Laplace transform of 2te -3t.
4. Find the inverse Laplace transform of s/s+2.
5. Find the inverse Laplace transform of 1/s+5.
6. Find the inverse Laplace transform of 1/( s + 5 ) ( s 2 + 1).
7. The voltage and current in the Laplace domain for a certain system is given by V (s) = 1/12 1/s^2 +3, I(s) = s/s^2+3. Is this system best described as resistive, capacitive, or inductive?
8. The voltage and current in the Laplace domain for a certain system is given by V(s) = 9 1/s^2+16, I(s) = 1/s^2+16. Is this system best described as resistive, capacitive, or inductive?
9. For a second order RLC circuit, in the s-domain s^2 + R/L s + 1/LC = 0. If R = 2 Ω, C = 2 F, and L = 16 H , is the system damped? If so, how? Characterize the behavior of the system.
10. A resistor and inductor are connected in series with a voltage source v ( t ) = 20sin 30t .If R = 12 Ω, L = 4 H, find the total response of the current. Assume there is initially no current. Identify the transient solution
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Book of exodus in terms of the name of the book
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What molecular motor facilitates the movement
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Define the voltage and current in the laplace domain
: The voltage and current in the Laplace domain for a certain system is given by V (s) = 1/12 1/s^2 +3, I(s) = s/s^2+3. Is this system best described as resistive, capacitive, or inductive?
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What is the final temperature of aluminium sample
: A 500.0 g sample of aluminium is initially at 25.0 °C. It absorbs 32.60 kJ of heat from its surroundings. What is its final temperature, in °C? (specific heat = 0.9930 J g-1 K-1 for aluminum)
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Cost over book value of well investment was attributed
: Wilton's assets on that date were recorded at $6,400,000 with liabilities of $3000000. Any excess of cost over book value of Well's investment was attributed to unrecorded patents having a remaining useful life of ten years.
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