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Problem #12: The graph of f(t) is given below. 12 10 8 6 4 2 0...
Problem #12: The graph of f(t) is given below. 12 10 8 6 4 2 0 2 4 6 8 10 Find the Laplace transform F($) = L{f(t)} by first expressing f(t) in terms of the Heaviside function. Problem #12: Enter your answer as a symbolic function of s, as in these examples
The graph of f(t) is given below. 10 oc 6 y 2 0 2 6 8...
The graph of f(t) is given below. 10 oc 6 y 2 0 2 6 8 10 Find the Laplace transform F(s) = L{FO} by first expressing f(t) in terms of the Heaviside function.
i want to know how to get this answer. thx The graph of f(t) is given...
i want to know how to get this answer. thx
The graph of f(t) is given below. 5 4 3 y 2 1 0 2 6 8 10 = Find the Laplace transform F(5) {f(t)} by first expressing f(t) in terms of the Heaviside function. (21) +80*8+420 +4 Correct Answer: (8-25-2545) – (20-805)) Your Mark: 0/2
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combin...
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
Answer all the problems please. (1 point) The graph of f(t) is given below (Click on...
Answer all the problems please.
(1 point) The graph of f(t) is given below (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) b. Find the Laplace transform F(s) = L {f(t)) for s 0. F(s) = L {f(t)) = help (formulas) (1 point) Find the inverse Laplace transform of 7s F(s) = s2-15-12 f(t)-H(t-7)*(1/7% . (Use step(t-c)...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t>...
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t>...
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
2. Given 12 f(t)= ={ Ost<3 t23 (a) Write f(t) in one line using the unit...
2. Given 12 f(t)= ={ Ost<3 t23 (a) Write f(t) in one line using the unit step function (Heaviside function). 5 points 10 points (b) Find L{f(t)}, either by using the definition of the Laplace transform or by finding the Laplace transform of your answer to part (a).
1. Consider a smooth function f(t) defined on 0 t
Applied Mathematics Laplace Transforms
1. Consider a smooth function f(t) defined on 0 t<o, with Laplace transform F(s) (a) Prove the First Shift Theorem, which states that Lfeatf(t)) = F(s-a), where a is a constant. Use the First Shift Theorem to find the inverse trans- form of s2 -6s 12 6 marks (b) Prove the Second Shift Theorem, which states that L{f(t-a)H(t-a))-e-as F(s), where H is the Heaviside step function and a is a positive constant. Use the First and...
Problem #12: The graph of f(t) is given below. 12 10 8 6 4 2 0 2 4 6 8 10 Find the Laplace transform F($) = L{f(t)} by first expressing f(t) in terms of the Heaviside function. Problem #12: Enter your answer as a symbolic function of s, as in these examples
The graph of f(t) is given below. 10 oc 6 y 2 0 2 6 8 10 Find the Laplace transform F(s) = L{FO} by first expressing f(t) in terms of the Heaviside function.
i want to know how to get this answer. thx
The graph of f(t) is given below. 5 4 3 y 2 1 0 2 6 8 10 = Find the Laplace transform F(5) {f(t)} by first expressing f(t) in terms of the Heaviside function. (21) +80*8+420 +4 Correct Answer: (8-25-2545) – (20-805)) Your Mark: 0/2
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
Answer all the problems please.
(1 point) The graph of f(t) is given below (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) b. Find the Laplace transform F(s) = L {f(t)) for s 0. F(s) = L {f(t)) = help (formulas) (1 point) Find the inverse Laplace transform of 7s F(s) = s2-15-12 f(t)-H(t-7)*(1/7% . (Use step(t-c)...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
2. Given 12 f(t)= ={ Ost<3 t23 (a) Write f(t) in one line using the unit step function (Heaviside function). 5 points 10 points (b) Find L{f(t)}, either by using the definition of the Laplace transform or by finding the Laplace transform of your answer to part (a).
Applied Mathematics Laplace Transforms
1. Consider a smooth function f(t) defined on 0 t<o, with Laplace transform F(s) (a) Prove the First Shift Theorem, which states that Lfeatf(t)) = F(s-a), where a is a constant. Use the First Shift Theorem to find the inverse trans- form of s2 -6s 12 6 marks (b) Prove the Second Shift Theorem, which states that L{f(t-a)H(t-a))-e-as F(s), where H is the Heaviside step function and a is a positive constant. Use the First and...
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