|d²y Given the L 10 +9y = 5t with IVP y(0) = -1 and y'(0) = 2 di dt 4. What is the initial Y(s) after substituting the initial values? 5-s +12s? 5-s' +3s? a. Y(s)(s² +10s +9) = Y(s)(s² – 10s +9) =- 5+s +12s? 5-s +12s? b. Y(s)(s -10s+9) = d. Y(s)(s – 10s +9) =
|d²y Given the L 10 +9y = 5t with IVP y(0) = -1 and y'(0) = 2 di dt 4. What is the initial Y(s) after substituting the initial values? 5-s +12s? 5-s' +3s? a. Y(s)(s² +10s +9) = Y(s)(s² – 10s +9) =- 5+s +12s? 5-s +12s? b. Y(s)(s -10s+9) = d. Y(s)(s – 10s +9) =
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
Answer 13-17 and 4-9

Transcribed Image Text:Question 4-9
Sd²y
Given the L
di
+9y = 5t > with IVP y(0) = -1 and y'(0) = 2
dt
4. What is the initial Y(s) after substituting the initial values?
5- s° +12s?
5-s' +3s?
а.
Y(s)(s +10s +9) =
c. Y(s)(s – 10s +9) =
s²
5+ s³ +12s?
5-s' +12s?
b. Y(s)(s -10s +9) D
d. Y(s)(s –10s +9):
=
5. What is the Y(s) before identifying the arbitrary constants?
s (12- s)+5
s(s – 9)(s – 1)
6. How is the evaluation of the partial fraction expressed?
A Bs
s(12+s)+5
s (s – 9)(s – 1)
(12-s)+5
(12-s) +5
Y(s) =
b. Y(s) =-
c. Y(s) =
d. Y(s) =
а.
s (s - 9)(s – 1)
(s - 9)(s – 1)
12s? – s +5
12s2 - s +5
с.
s(s -9)(s – 1)
CD
A B
C
D
a.
%3D
%3D
s' (s - 9)(s – 1)
S-9
S-1
s -9
s-1
12s + s +5
s'(s - 9)(s – 1)
12s? – s' +5
d.
A
B
D
В
A
+
C
D
b.
s (s -9)(s –1)
S -9
7. What is the value of A in the partial faction?
S-1
S-9
s-1
50
3
b. A =-
81
5
A
81
d. A=
81
а.
с.
81
8. What is the value of D?
D=9
b. D=2
D=-9
d. D=-2
а.
с.
9. What is the transformation of the given f(t)?
50, 5
+21+e" - 2e'
81
31
31
50
c. Y(t) =
81
5
-e'
81
Y(1) =
-2t +
et
а.
9.
81
81
50
31
+ t+=e" – 9e'
81 81
3
5
5
d. Y(t) = +t+2e"
81 81
b. Y(s) =
-
--
81

Transcribed Image Text:Question 13-17. A breeder reactor converts relatively stable Uranium-238 into the isotope Plutonium-239. After 5
years it was determined that 0.043% of the initial amount A, of plutonium has disintegrated.
13. What will be the differential equation for this problem?
dA
= kA
dt
dP
b.
= kdt
c. Both a and b
d. Neither a nor b
а.
14. If the atoms of A. have disintegrated, how much is remained?
c. 0.043%
d. None of them
a. 99.957%
15. What is the value of the decay constant?
a. -0.20977/y
16. What is the corresponding value of A(t) at half-life?
b. 99.043%
b. -0.000028672
c. -0.20977
d. -0.000028672/y
а. 3/2 Ао
b. ½ Ao
с. 2 Ао
d. None of them
17. What is the half-life of the isotope?
a. 24180 years
b. 24174.35 уears
18.454 years
d. 27,617.995 years
с.
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