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using laplace transforms solve the following ordinary differential equation
d3y/dt3+2d2y/dt2-dy/dt-2y=o ,y(0)=1 ,y'(0)=2 ,y"(0)=2
d3y/dt3+2d2y/dt2-dy/dt-2y=o ,y(0)=1 ,y'(0)=2 ,y"(0)=2
find the laplace tranform of the following
1-(t+5)^2cos10t
2-te^-10t sin^2 t
1-(t+5)^2cos10t
2-te^-10t sin^2 t
A printer has the job of covering the container with the company’s logo and other information, and plans to print them on a sheet of paper measuring 300 cm2 (10cm by 30 cm).
Program A Program B Program C Program D
Program Cost 14000 13000 14500 16000
Admin Fee 145 170 140 130
HR Staff Needed 3 4 4 3
Hours to Complete Training 25 28 25 30
A human resource manager is considering replacing a traditional program with a new virtual training program for 10 new employees. The salary of the HR staff is 20$ per hour, and the salary of new employees is $12.50 per hour.
Assuming quality of programs is equal, which is the most cost efficient?
A) Program A
B) Program B
C) Program C
D) Program D
E) All would be the same
Program Cost 14000 13000 14500 16000
Admin Fee 145 170 140 130
HR Staff Needed 3 4 4 3
Hours to Complete Training 25 28 25 30
A human resource manager is considering replacing a traditional program with a new virtual training program for 10 new employees. The salary of the HR staff is 20$ per hour, and the salary of new employees is $12.50 per hour.
Assuming quality of programs is equal, which is the most cost efficient?
A) Program A
B) Program B
C) Program C
D) Program D
E) All would be the same
Consider a purely probabilistic game that you have the opportunity to play. Each time you play there are n potential outcomes x1, x2, ..., xn (each of which is a specified gain or loss of
euros). These outcomes x1, x2, ..., xn occur with the probabilities p1, p2, ..., pn respectively (where p1 + p2 + ... + pn = 1.0 and 0 <= pi <= 1 for each i).
Positive xi values mean a gain of |xi| euros and negative values mean a loss of |xi| euros. Assume that x1, x2, ..., xn and p1, p2, ..., pn are all known quantities. Furthermore, assume that each play of the game takes up one hour of your time, and that only you can play the game (you can't hire someone to play for you).
Let M be the game's expected value. That is, M = p1*x1 + p2*x2 + ... + pn*xn. Let S be the
game's standard deviation. That is, S = SquareRoot( p1 * (x1 - M)^2 + p2 * (x2 - M)^2 + ...
+ pn * (xn - M)^2 ).
1) In the real world, should a rational player always play this game whenever the expected value M is not negative? Yes/NO Explain please...
euros). These outcomes x1, x2, ..., xn occur with the probabilities p1, p2, ..., pn respectively (where p1 + p2 + ... + pn = 1.0 and 0 <= pi <= 1 for each i).
Positive xi values mean a gain of |xi| euros and negative values mean a loss of |xi| euros. Assume that x1, x2, ..., xn and p1, p2, ..., pn are all known quantities. Furthermore, assume that each play of the game takes up one hour of your time, and that only you can play the game (you can't hire someone to play for you).
Let M be the game's expected value. That is, M = p1*x1 + p2*x2 + ... + pn*xn. Let S be the
game's standard deviation. That is, S = SquareRoot( p1 * (x1 - M)^2 + p2 * (x2 - M)^2 + ...
+ pn * (xn - M)^2 ).
1) In the real world, should a rational player always play this game whenever the expected value M is not negative? Yes/NO Explain please...
calculate the binary equation of 1/3.
Solve the Volterra equation φ(t)+∫t(t−x)φ(x)dx = t, for 0 ≤ t ≤ 1
Using the successive approximation. (Note that the answer should be φ(t) = sin(t) )
Using the successive approximation. (Note that the answer should be φ(t) = sin(t) )
Ray and Neil have 17 marbles put together.Ray and Paul have 15 marbles put together. Neil and Paul have 14 marbles. How many marbles does each person have?
how the value of inventory is calculated using the periodic weighted average method of valuation (4 marks)
b) (i) the purpose of a statement of financial position; and
(ii) the purpose of a statement of comprehensive income (6 marks)
(ii) the purpose of a statement of comprehensive income (6 marks)
