Reference no: EM131068115
1. Find the Laplace transform of f(t) using the integral definition of the Laplace transform
e-3t, 0 < t < 3
f(t) =
1, 3 < t
2. Determine the Laplace transform. You may use the Laplace transform table.
L[t2 - t + e-3t cos2t]
3. Solve the IVP (find y(t)) using the method of the Laplace transform.
y'' + y = t2 + 2; y(0) = 1; y'(0) = -1
Hint: You will NOT need to use partial fractions
4. Solve for Y(s). You do not need to do a partial fraction expansion, but express your answer as a single rational function with series of factors in the denominator and a number of summed (or differenced) terms in the numerator.
y'' - 6y' + 5y = tcos(2t); y(0) = 2; y'(0) = -1
5. Consider g(t) below.
a. Plot g(t),
b. Express g(t) using step functions
c. Find the Laplace transform
5 cos(t), 0 ≤ t ≤ 2π
g(t) =
t, 2π < t
6. Find L-1[s(e-2s)/s2+9]
7. Solve for y(t).
y'' + y = tu(t-3); y(0) = 0, y'(0) = 1
8. Solve for y(t)).
y'' - y = sin(t-3)u(t-3); y(0) = 0; y'(0) = 1
|
Contemporary issue in the industry - gender issues
: The purpose of the essay is to enable students to select a contemporary issue in the industry and explore it in-depth while discussing both personal opinion and its relevance to the current work culture.
|
|
Read on psychology of prejudice
: Read On Psychology of Prejudice, and explain your opinion. Who might be more prejudiced, one with intrinsic faith or one with extrinsic faith?
|
|
Stock valuation and required return
: Red, Inc., Yellow Corp., and Blue Company each will pay a dividend of $2.65 next year. The growth rate in dividends for all three companies is 5 percent.
|
|
What is the realized return
: a) What is the realized return? b) How much of the return came from individual yield and how much came from capital gain?
|
|
Determine the laplace transform
: Determine the Laplace transform. You may use the Laplace transform table
|
|
Methods underlying the valuation of companies
: Using your own words, describe the concepts and methods underlying the valuation of companies, including both profitability and risk analysis
|
|
Explain weighted average cost of capital
: Explain Weighted Average Cost of Capital (WACC). The WACC for a firm can be calculated or found through research. Select two firms in the same industry.
|
|
Prepare a financial forecast for the company
: Explanation of All Other Assumptions - Include an explanation of all other assumptions related to future operating performance including costs, margins, efficiency, capitalization, etc. Note: All assumptions used in the forecast need to be explai..
|
|
What are the chief elements of krispy kremes strategy
: What are the chief elements of Krispy Kreme's strategy? What evidence is there to indicate that the strategy is or is not working as well as it might?
|