تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
Question 1.
The function f(t) is defined as follows
f(t)=-4+5t+t2,0<t≤7.
Let f even (t) be the even periodic extension of f(t). Select the name of the appropriate Fourier half-range
series representation of fever (t).
The Fourier representation of fever (t) is called: Select
Enter the following values in the boxes below:
*p = f even (-5),
q=feren (10),
⚫T, the period of feven(t).
Enter p
Enter q
Enter T:
Question 2.
The Fourier series representation, FS(t), of a periodic function of period 4
is given by
FS(t)=
2
+2
not
nπt
a cos
+ b₁, sin
R-1
In this particular case the Fourier series coefficients are given by
do 1.75
an=
6(-1)"
bp
=
2(1-2(-1)")
n22
Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these
entered values, compute FS3(4) correct to 3 decimal places.
Enter the values in the boxes below.
Enter a correct to 4 decimal places: |
Enter a correct to 4 decimal places: |
Enter as correct to 4 decimal places: |
Enter by correct to 4 decimal places:
Enter by correct to 4 decimal places: |
Enter by correct to 4 decimal places:
Enter FS3 (4) correct to 3 decimal places:
check_circle الجواب — حل مفصل خطوة بخطوة
hourglass_top
🔒
الحل الكامل متاح للمشتركين
اشترك في أرشيف الأسئلة لعرض هذا الحل وآلاف الحلول المفصلة خطوة بخطوة من معلمين معتمدين.