(-1)52* (-1)2**1 00 A. E (2k + 1)! k=0 B. E (2k + 1)(2k + 1)! k=0 (-1)2*+1 OC. E 00 00 (-1)* O D. E (2k + 1)(2k + 1)! k=0 (2k+ 1)! k=0 E. Approximate Si(0.4) and Si(3). Use enough terms of the series so the error in approximation does not exceed 10 First approximate Si(0.4). Si(0.4) = 0.396 (Type an integer or decimal rounded to the nearest thousandth as needed.) Approximate Si(3). Use enough terms of the series so the error in approximation does not exceed 103 Si(3) = 0.016 (Type an integer or decimal rounded to the nearest thousandth as needed.) Help me solve this View an example Get more help - arc Clear all Chec DELL

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 12E
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Can someone please explain it to me why my answer is wrong? Si(3)ASAP??!!!
.....
(-1)*x2k +1
OA. E
(2k + 1)!
k=0
B.
(2k + 1)(2k + 1)!
k=0
(-1),2k +1
Oc. 2
00
(-1)"x2*
00
O D.
(2k+ 1)!
(2k + 1)(2k + 1)!
k=0
k=0
C. Approximate Si(0.4) and Si(3). Use enough terms of the series so the error in approximation does not exceed 10. First approximate Si(0.4).
Si(0.4) = 0.396
(Type an integer or decimal rounded to the nearest thousandth as needed.)
nts
Approximate Si(3). Use enough terms of the series so the error in approximation does not exceed 10
ess
Si(3) = |0.016
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Library
ptions
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Resourc
ENG
DELL
F2
F4
ES
F7
F9
F10
F11
PrtScr
F12
Ins
@
&
2
3
4
5
9
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E
R
T
Y
一
P
A
D
G
H
J
%3D
K
L
C
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Transcribed Image Text:..... (-1)*x2k +1 OA. E (2k + 1)! k=0 B. (2k + 1)(2k + 1)! k=0 (-1),2k +1 Oc. 2 00 (-1)"x2* 00 O D. (2k+ 1)! (2k + 1)(2k + 1)! k=0 k=0 C. Approximate Si(0.4) and Si(3). Use enough terms of the series so the error in approximation does not exceed 10. First approximate Si(0.4). Si(0.4) = 0.396 (Type an integer or decimal rounded to the nearest thousandth as needed.) nts Approximate Si(3). Use enough terms of the series so the error in approximation does not exceed 10 ess Si(3) = |0.016 (Type an integer or decimal rounded to the nearest thousandth as needed.) Library ptions Help me solve this View an example Get more help - Clear all Check ans Resourc ENG DELL F2 F4 ES F7 F9 F10 F11 PrtScr F12 Ins @ & 2 3 4 5 9 Q E R T Y 一 P A D G H J %3D K L C V B N < <> Alt Alt Ctri Σ #m
sint
dt is called the sine integral function. (Note that the integrand function is traditionally defined such that
sint
= 1 if t= 0.) Answer parts a
The function Si(x) =
through c.
.....
a. Expand the integrand in a Taylor series about 0. Choose the correct answer below,
00
(-1)*pk +1
(- 1)*t2k
O A. E
(2k + 1)(2k + 1)!
*B. 2
(2k + 1)!
k=0
k=0
(-1)*?k
00
00
(-1)*2k + 1
ok
c. E
O D. 2
(2k + 1)(2k + 1)!
k=0
(2k + 1)!
k=0
b. Integrate the series to find a Taylor series for Si. Choose the correct answer below.
ents
(- 1),2*
(2k + 1)!
* (- 1)*x2k*1
B. E
00
OA E
(2k + 1)(2k + 1)!
k=0
cess
k=0
* (-12K +1
00
00
Library
(- 1)*x2K
ptions
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Resourc
ENG
DELL
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
PriScr
insert
%23
%24
&
*
4
5
6
フ
8
E
R
Y
P
D
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AR
Alt
Ctr
Transcribed Image Text:sint dt is called the sine integral function. (Note that the integrand function is traditionally defined such that sint = 1 if t= 0.) Answer parts a The function Si(x) = through c. ..... a. Expand the integrand in a Taylor series about 0. Choose the correct answer below, 00 (-1)*pk +1 (- 1)*t2k O A. E (2k + 1)(2k + 1)! *B. 2 (2k + 1)! k=0 k=0 (-1)*?k 00 00 (-1)*2k + 1 ok c. E O D. 2 (2k + 1)(2k + 1)! k=0 (2k + 1)! k=0 b. Integrate the series to find a Taylor series for Si. Choose the correct answer below. ents (- 1),2* (2k + 1)! * (- 1)*x2k*1 B. E 00 OA E (2k + 1)(2k + 1)! k=0 cess k=0 * (-12K +1 00 00 Library (- 1)*x2K ptions Help me solve this View an example Get more help - Clear all Check answer Resourc ENG DELL F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PriScr insert %23 %24 & * 4 5 6 フ 8 E R Y P D G J K V B M AR Alt Ctr
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