Homework Help is Here – Start Your Trial Now!
Math
Calculus
40. (a) The graph of the function f is shown in Fig. 10.1.10. Show that f can be written in the form f(t) = (-1)"u(t – n). n=0 (b) Use the method of Problem 39 to show that 1 L{f(1)} = s(1 + e-$)' |f 1 2 3 4 5 6 FIGURE 10.1.10. The graph of the function of Problem 40.

40. (a) The graph of the function f is shown in Fig. 10.1.10. Show that f can be written in the form f(t) = (-1)"u(t – n). n=0 (b) Use the method of Problem 39 to show that 1 L{f(1)} = s(1 + e-$)' |f 1 2 3 4 5 6 FIGURE 10.1.10. The graph of the function of Problem 40.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
See similar textbooks
icon
Related questions
Question

Please be detailed 

please do number 40, I show number 39 because it asks for it 

40. (a) The graph of the function f is shown in Fig. 10.1.10. Show that f can be written in the form f(t) = E(-1)"u(t – n). %3D uplace n=0 (b) Use the method of Problem 39 to show that 1 L{f(t)} = %3D s(1 + e-s)' |f 1 1 2 3 4 5 6 FIGURE 10.1.10. The graph of the function of Problem 40.
Transcribed Image Text:40. (a) The graph of the function f is shown in Fig. 10.1.10. Show that f can be written in the form f(t) = E(-1)"u(t – n). %3D uplace n=0 (b) Use the method of Problem 39 to show that 1 L{f(t)} = %3D s(1 + e-s)' |f 1 1 2 3 4 5 6 FIGURE 10.1.10. The graph of the function of Problem 40.
39. The unit staircase function is defined as follows: f(t) = n if n – 1 <t < n, n = 1,2, 3, . .. %3D (a) Sketch the graph of f to see why its name is appropri- ate. (b) Show that f (t) = u(t –n) %3D I n=0 for all t 2 0. (c) Assume that the Laplace transform of the infinite series in part (b) can be taken termwise (it can). Apply the geometric series to obtain the result 1 L{f(t)} = s(1 – e-s)
Transcribed Image Text:39. The unit staircase function is defined as follows: f(t) = n if n – 1 <t < n, n = 1,2, 3, . .. %3D (a) Sketch the graph of f to see why its name is appropri- ate. (b) Show that f (t) = u(t –n) %3D I n=0 for all t 2 0. (c) Assume that the Laplace transform of the infinite series in part (b) can be taken termwise (it can). Apply the geometric series to obtain the result 1 L{f(t)} = s(1 – e-s)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS