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
lakkis [162]
3 years ago
8

20. Please help I really need it​

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

Step-by-step explanation:

d if not d a.................

You might be interested in
(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul
Aloiza [94]

Answer

(a) F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

Step-by-step explanation:

(a) f(t) = 20.5 + 10t + t^2 + δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 f(s)e^{-st} \, dt

where a = ∞

=>  F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt

where d(t) = δ(t)

=> F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt

Integrating, we have:

=> F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3}  )\left \{ {{a} \atop {0}} \right.

Inputting the boundary conditions t = a = ∞, t = 0:

F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) f(t) = e^{-t} + 4e^{-4t} + te^{-3t}

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt

F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt

F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt

Integrating, we have:

F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.

Inputting the boundary condition, t = a = ∞, t = 0:

F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

3 0
3 years ago
3x-5y=4
katrin [286]

Answer: (-2, -2)

Step-by-step explanation:

    We will graph the equations. Then, we will decide which of the points is a solution. See attached for the graph. The point of intersection is the solution. This means the only solution is,

    (2, 2)

4 0
3 years ago
Ximena reads for 15 minutes after school. She reads x more minutes after diner. Enter an equation that represents the total numb
MakcuM [25]
Answer: 20 + x
Can u mark me as brainlist
3 0
3 years ago
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
Whitepunk [10]
The correct answer is the third answer <span>Translate K to N and rotate about K until HK lies on the line containing LN.
</span>
HOPE IT HELPED °ω°

4 0
3 years ago
Read 2 more answers
15miles/1 hours = ?ft/1 hours
Nataly [62]

Answer:

79200ft/1 hour

Step-by-step explanation:

Formula  

multiply the length value by 5280

8 0
3 years ago
Other questions:
  • How to find two consecutive numbers whose squares differ by 27?
    9·1 answer
  • How to determine if set of vectors is linearly independent?
    8·1 answer
  • Ali has painting class every 20 days ria has a pottery class every 5 days they both met at the art building today. How many days
    13·2 answers
  • 15 is what percent of 60
    5·1 answer
  • WILL GIVE BRAINLIEST AND 100 POINT
    10·1 answer
  • Which three lengths CANNOT be the lengths of the sides of a triangle? *
    13·1 answer
  • Need help plz!!!!!!!!!
    9·1 answer
  • Write an equation for the slope-INTERCEPT FORM
    7·1 answer
  • Which represents the inverse of the function f(x) = 4x?
    10·1 answer
  • HELP!!!!<br> 6) Find the value of x.<br> A) 2<br> B) 4<br> C) 8<br> D) 12
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!