Math Answers

Laplace Transform

Question 1:
For the following transfer function:
H(s)= (s^2 -1)/(s^2+s+1)
Plot the poles and zeros in the s-plane and determine and sketch the inverse Laplace transform h(t ) using Matlab.

Question 2:

For the following transfer function:
H(s) = 3 + ( (s+4) / (s^2+3s+2) )
Find and sketch the inverse Laplace transform h(t) using Matlab..

Question 3:
Solve the following second order differential equation:
y\\ + 4y\ + 3y = 4 e^-3x , given that y(0) = 1 and y\ (0) = -1
and sketch the output y(t) using Matlab.

What is the radius of the circle if the center of the circle is C(-3,5) and the point P(5,11) is on the circle?

Y=e^a x.cos^3 x.sin^2 x Find dy/dx

It takes Sata 5 minutes to fly 35 miles with the wind. It takes him 7 minutes to fly 35 miles against the wind. Determine the speed of Santa's sleigh in the air(x) and the speed of the wind(y)

A dice is thrown 5 Times . What is the probability of getting sum 25 ?

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Felipe is a software salesman. His monthly salary is $1800 plus an additional $110 for every copy of Math is Fun he sells. Let S represent his total salary this month (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating S to N, and then graph your equation using the axes below.

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