|x (t) - X So, dF(t) dt = 28(t + 2) — 28(t − 2) — rect(+¹) +rect (¹¹) 2 (+)........ + = F₁ (t) + F₂ (t) F₁(1): Fit replace by F₁w F2 2(1) replace by F₂ (w) Apply Fourier transform, |jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁(t) = −6(t + 2) + 6(t− 2)........ equation 3 now t replace by w, F₁(w) = -2 [¹ + ¹] x 2 F₁ (w) = -4 [c²-e ] F1(w) = 4jwSin²w. and F2(w) = 2 x 4Sin (2) |F2(w) = 8Sin (2) F2(w) = -8Sin2w jw equation 1. How did he get t value

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
icon
Related questions
Question
i need the answer quickly
|x (t) - - -
X = 26(t + 2) — 28(t −
So,
dF(t)
dt
F2
· = F₁ (t) + F₂ (t)
2 (+)... ..... equation 1.
F₁ (w)
Fit replace by F₁w
F₁ (1)
(1) replace by F₂ (w)
F2
Apply Fourier transform,
jw F(w) = F₁ (w) + F2₂(w)...... equation 2
F₁(t) = −6(t + 2) + 6(t - 2)........ equation 3
now t replace by w,
F₁(w) = -2 [+]
F₁(w)
F1(w) = 4jwSin²w.
and
F2(w) = 2 x 4Sin (2)
=
2) — rect(+¹) +rect (¹¹)
x 2
|F2(w) = 8Sin (2)
F2(w) = -8Sin2w jw
How did he get the
value:
Transcribed Image Text:|x (t) - - - X = 26(t + 2) — 28(t − So, dF(t) dt F2 · = F₁ (t) + F₂ (t) 2 (+)... ..... equation 1. F₁ (w) Fit replace by F₁w F₁ (1) (1) replace by F₂ (w) F2 Apply Fourier transform, jw F(w) = F₁ (w) + F2₂(w)...... equation 2 F₁(t) = −6(t + 2) + 6(t - 2)........ equation 3 now t replace by w, F₁(w) = -2 [+] F₁(w) F1(w) = 4jwSin²w. and F2(w) = 2 x 4Sin (2) = 2) — rect(+¹) +rect (¹¹) x 2 |F2(w) = 8Sin (2) F2(w) = -8Sin2w jw How did he get the value:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,