15.49✓ > < 03_Pengendalian all 79% i ⚫ Q Question 1 3.1 Find the Laplace transforms of the following functions, using the information in Table 3.1. (However, some of the individual terms in these functions may not have Laplace transforms.) (a) f(t)=5+et+te-41 (b) f(r) sin(41)+1-3+e-3)+5/1 (c) f(r) 1 cos(41) + 1/5 (d) f(t)=(t−1) cos(4(t − 1)) + 1² Question 2 3.4 The dynamic model for a process is given by dx di dy +6 +8y = 34(1) where u(t) is the input function and y(0) and dy/dt (0) are both zero. What are the functions of the time (e.g., et) in the solution for each of the following cases? (a) u(t)= be-2 (b) u(t) = ct b and c are constants. Question 3,4 66/75 Pertamina 67/75 Universitan Pertamina 68/75 Lawversitas Pertamina 3.6 Using PFE where required, find x(t) for s(s+1) (s+2)(s+3)(s+4) (a) X(s)=- (b) X(s) = 5+2 (s+1)² (c) X(s)= (d) X(s)= s²+5+1 5+1 s(s+4)(s+3) e-058 3.7 Expand each of the following s-domain functions into partial fractions: 6(s+1) (a) Y(s)= s²(s+1) 12(s+2) (b) Y(s)= s($²+9) (s+2)(s+3) (c) Y(s) = (d) Y(s)= (5+4)(5+5)(5+6) [(s+1)²+1]²(s+2) ||| О < 69/75

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
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15.49✓
>
< 03_Pengendalian
all 79% i
⚫
Q
Question 1
3.1 Find the Laplace transforms of the following functions,
using the information in Table 3.1. (However, some of the
individual terms in these functions may not have Laplace
transforms.)
(a) f(t)=5+et+te-41
(b) f(r)
sin(41)+1-3+e-3)+5/1
(c) f(r) 1 cos(41) + 1/5
(d) f(t)=(t−1) cos(4(t − 1)) + 1²
Question 2
3.4 The dynamic model for a process is given by
dx
di
dy
+6 +8y = 34(1)
where u(t) is the input function and y(0) and dy/dt (0) are
both zero.
What are the functions of the time (e.g., et) in the solution
for each of the following cases?
(a) u(t)= be-2
(b) u(t) = ct
b and c are constants.
Question 3,4
66/75
Pertamina
67/75
Universitan
Pertamina
68/75
Lawversitas
Pertamina
3.6 Using PFE where required, find x(t) for
s(s+1)
(s+2)(s+3)(s+4)
(a) X(s)=-
(b) X(s) =
5+2
(s+1)²
(c) X(s)=
(d) X(s)=
s²+5+1
5+1
s(s+4)(s+3)
e-058
3.7 Expand each of the following s-domain functions into
partial fractions:
6(s+1)
(a) Y(s)=
s²(s+1)
12(s+2)
(b) Y(s)=
s($²+9)
(s+2)(s+3)
(c) Y(s) =
(d) Y(s)=
(5+4)(5+5)(5+6)
[(s+1)²+1]²(s+2)
|||
О
<
69/75
Transcribed Image Text:15.49✓ > < 03_Pengendalian all 79% i ⚫ Q Question 1 3.1 Find the Laplace transforms of the following functions, using the information in Table 3.1. (However, some of the individual terms in these functions may not have Laplace transforms.) (a) f(t)=5+et+te-41 (b) f(r) sin(41)+1-3+e-3)+5/1 (c) f(r) 1 cos(41) + 1/5 (d) f(t)=(t−1) cos(4(t − 1)) + 1² Question 2 3.4 The dynamic model for a process is given by dx di dy +6 +8y = 34(1) where u(t) is the input function and y(0) and dy/dt (0) are both zero. What are the functions of the time (e.g., et) in the solution for each of the following cases? (a) u(t)= be-2 (b) u(t) = ct b and c are constants. Question 3,4 66/75 Pertamina 67/75 Universitan Pertamina 68/75 Lawversitas Pertamina 3.6 Using PFE where required, find x(t) for s(s+1) (s+2)(s+3)(s+4) (a) X(s)=- (b) X(s) = 5+2 (s+1)² (c) X(s)= (d) X(s)= s²+5+1 5+1 s(s+4)(s+3) e-058 3.7 Expand each of the following s-domain functions into partial fractions: 6(s+1) (a) Y(s)= s²(s+1) 12(s+2) (b) Y(s)= s($²+9) (s+2)(s+3) (c) Y(s) = (d) Y(s)= (5+4)(5+5)(5+6) [(s+1)²+1]²(s+2) ||| О < 69/75
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