1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jenyasd209 [6]
2 years ago
8

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

F(s) = (7e−7s)/(s2 − 49)f(t) =
Mathematics
1 answer:
zzz [600]2 years ago
6 0

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

You might be interested in
6:1 equivalent to the ratio 12:3
Lady bird [3.3K]

Answer:

No

Step-by-step explanation:

multiply each side of 6:1 by 3 to get it equivalent. 18:3 is not equal to 12:3 so no

3 0
2 years ago
Read 2 more answers
A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Sergio [31]

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

7 0
2 years ago
A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer
sp2606 [1]

Answer:  The answer is \textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.


Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

\textup{M}+\textup{H}\leq 10.

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

4\textup{M}+7\textup{H}\leq 90.

Thus, the pair of inequalities is

\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.


6 0
2 years ago
Please solve will give BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINL
Mnenie [13.5K]

Answer:

3.4

Step-by-step explanation:

7 0
2 years ago
HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
goblinko [34]
Rate of change is slope
So change in y/change in x
150/3=50
3 0
3 years ago
Other questions:
  • How do you find the slope of (2, -6) & (-3, -4)
    8·2 answers
  • Solve the proportion <br><br> N/5=7/10
    10·2 answers
  • Evaluate the function for x = –2a, if a = 3.<br> f(x)= -4x+7
    9·1 answer
  • If f(x)=-3x-1, find f(-5)<br>a)16<br>b)15<br>c)-16<br>d)14​
    9·1 answer
  • 5 peas equals 1 pod. 4 pods equals 1/2 ping. 3 pings equals how many peas? Please give me the full explanation so I can know for
    8·1 answer
  • An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is
    6·1 answer
  • The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which o
    5·1 answer
  • A square has a side length of 21 + 11s. Select TWO equivalent
    10·1 answer
  • Please explain to me and i will give brainly
    8·2 answers
  • Find the volume of the cylinder with a radius of 16 mm and a height of 30 mm​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!