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MATH 2303 Workshop 7 1, NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR...
please answer all parts MATH 2303 Workshop 8 NAME (please print legibly): Your SMU ID Number:...
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MATH 2303 Workshop 8 NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT. 1. (10 points) Find the inverse Laplace f(t) = --!{F} of the following: 4 6 1 a) 2 F(8) =-+ S 8 + 8 b) 2 F(8) (8 - 1)(8-2) c) 2 F(8) 8 +3 92 +2s +5 792 +23s + 30 (8-2)(2+2s+5) d) 4 F(8)
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 (t)...
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 (t) = + cos 3+ + 3e-24 2. 2 (t) = (1 - *) (Hint: expand...) 3. 2 (t) = tsin? t (Hint: use half angle formula first...) 4. 2 (t) = cos(36) - 1
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t)...
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t) = 14 + cos 3t + 3e-2t 2. 2 h(t) = (1 - 3t)? (Hint: expand...) 3. 2 g(t) = t sin’t (Hint: use half angle formula first...) 4. 2 h(t) = e-2 cos(v3t) - tet
MATH 211 1. Verify that sint using the definition of the Laplace Transform. 2. Find the...
MATH 211 1. Verify that sint using the definition of the Laplace Transform. 2. Find the Laplace Transforms using the table and simplify your answers as much as possible. (a) g(t) = tsin 2t - 2tº (b) g(t) = 3tuſt - 3) 1b. (c) h(t) = cost. ut - ) (d) m(t) = e-uſt - 1)
iH Use Definition 7.1.1 × Math 285-Laplace Trar Cengage e Use Appropriate Alget × veb Student/Assignment.Responses/...
iH Use Definition 7.1.1 × Math 285-Laplace Trar Cengage e Use Appropriate Alget × veb Student/Assignment.Responses/submit?dep-20750 https://www.webassign.net С 0 -) O Top 10 Qualities of Should Your Child New Tab S YouTube亘Imported From IE Apps Show My Work (Optional) @ 2. 0/1 points | Previous Answers ZillDitEQModAp11 7.1.006. Use Definition 7.1.1, Laplace Transform DEFINITION 7.1.1 0, Then the integral Let f be a function defined for t 2f(tf(t) dt is said to be the Laplace transform of f, provided that...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
Please answer all questions with math detail 3. (21 points) Laplace Transform (a) (15 points) Find...
Please answer all questions with math detail
3. (21 points) Laplace Transform (a) (15 points) Find the Laplace transforms of the following signals and determine their region of convergence sinwot)-iu i. f(t) -i, e-2(t-3 2<t otherwise (b) (6 points) The Laplace transform of a causal signal x(t) is given by X (s) = s2 , ROC: Re{s) > -1 Which of the following Fourier transforms can be obtained from X(s) without actu- ally determining the signal x(t)? In each case,...
1. Basic properties of Laplace transforms: Show all of your steps. You can use tables of...
1. Basic properties of Laplace transforms: Show all of your steps. You can use tables of Laplace transforms to assist with the calculations. (a) Using a table of Laplace transforms, evaluate L {2t3 - 3e-2 t (b) Evaluate the Laplace transform of t2 sin(bt). d2 ds2 Hint: First verify the identity estt2 f(t)dt = estf(t)dt
Hollie work #2 (Due April 1 δ) Problem Obtain the Laplace transform of each of the...
Hollie work #2 (Due April 1 δ) Problem Obtain the Laplace transform of each of the following functions: 2t (a) et cos 3tu(t) (c) e3 cosh 2tu(t) (e) te sin 2tu(t) (b) e2t sin 4tu(t) (d) e4 sinh tu(t) Problem 2. Find the Laplace transform of each of the following functions (b) 3f* e^ut) (c) 2n1(t)-4". δ(t) (e) 5u(t/2) (d) 2e) u(t) 2p-(t-1) (f) 6el3 u(t) d" dt" Problem 3. Find the Laplace transform of the following signals (a) f(t)-(2t...
III. When solving this problem show all the steps needed to transform the expressions into ones...
III. When solving this problem show all the steps needed to transform the expressions into ones that can be (10) found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (5+234 +5e-2) cos(6t) b) Find the inverse Laplace transform f(t) of the function F(s) = 2 s2 + 2s + 5 f(t)=L-'{F(s) Table of Laplace Transforms F(s)=L{()} f(t)= L-'{F(s) F(s)=L{f(t)} 1. 2. et s-a 3. r",...
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MATH 2303 Workshop 8 NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT. 1. (10 points) Find the inverse Laplace f(t) = --!{F} of the following: 4 6 1 a) 2 F(8) =-+ S 8 + 8 b) 2 F(8) (8 - 1)(8-2) c) 2 F(8) 8 +3 92 +2s +5 792 +23s + 30 (8-2)(2+2s+5) d) 4 F(8)
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 (t) = + cos 3+ + 3e-24 2. 2 (t) = (1 - *) (Hint: expand...) 3. 2 (t) = tsin? t (Hint: use half angle formula first...) 4. 2 (t) = cos(36) - 1
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t) = 14 + cos 3t + 3e-2t 2. 2 h(t) = (1 - 3t)? (Hint: expand...) 3. 2 g(t) = t sin’t (Hint: use half angle formula first...) 4. 2 h(t) = e-2 cos(v3t) - tet
MATH 211 1. Verify that sint using the definition of the Laplace Transform. 2. Find the Laplace Transforms using the table and simplify your answers as much as possible. (a) g(t) = tsin 2t - 2tº (b) g(t) = 3tuſt - 3) 1b. (c) h(t) = cost. ut - ) (d) m(t) = e-uſt - 1)
iH Use Definition 7.1.1 × Math 285-Laplace Trar Cengage e Use Appropriate Alget × veb Student/Assignment.Responses/submit?dep-20750 https://www.webassign.net С 0 -) O Top 10 Qualities of Should Your Child New Tab S YouTube亘Imported From IE Apps Show My Work (Optional) @ 2. 0/1 points | Previous Answers ZillDitEQModAp11 7.1.006. Use Definition 7.1.1, Laplace Transform DEFINITION 7.1.1 0, Then the integral Let f be a function defined for t 2f(tf(t) dt is said to be the Laplace transform of f, provided that...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
Please answer all questions with math detail
3. (21 points) Laplace Transform (a) (15 points) Find the Laplace transforms of the following signals and determine their region of convergence sinwot)-iu i. f(t) -i, e-2(t-3 2<t otherwise (b) (6 points) The Laplace transform of a causal signal x(t) is given by X (s) = s2 , ROC: Re{s) > -1 Which of the following Fourier transforms can be obtained from X(s) without actu- ally determining the signal x(t)? In each case,...
1. Basic properties of Laplace transforms: Show all of your steps. You can use tables of Laplace transforms to assist with the calculations. (a) Using a table of Laplace transforms, evaluate L {2t3 - 3e-2 t (b) Evaluate the Laplace transform of t2 sin(bt). d2 ds2 Hint: First verify the identity estt2 f(t)dt = estf(t)dt
Hollie work #2 (Due April 1 δ) Problem Obtain the Laplace transform of each of the following functions: 2t (a) et cos 3tu(t) (c) e3 cosh 2tu(t) (e) te sin 2tu(t) (b) e2t sin 4tu(t) (d) e4 sinh tu(t) Problem 2. Find the Laplace transform of each of the following functions (b) 3f* e^ut) (c) 2n1(t)-4". δ(t) (e) 5u(t/2) (d) 2e) u(t) 2p-(t-1) (f) 6el3 u(t) d" dt" Problem 3. Find the Laplace transform of the following signals (a) f(t)-(2t...
III. When solving this problem show all the steps needed to transform the expressions into ones that can be (10) found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (5+234 +5e-2) cos(6t) b) Find the inverse Laplace transform f(t) of the function F(s) = 2 s2 + 2s + 5 f(t)=L-'{F(s) Table of Laplace Transforms F(s)=L{()} f(t)= L-'{F(s) F(s)=L{f(t)} 1. 2. et s-a 3. r",...
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