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3e-s 5e-257 Sketch the graph of the function : f(t) = 1+1 { + 6213 IS...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
1.) 2.) Find f(t) for the function F(s) = 52 - 8s + 4 (s +...
1.)
2.)
Find f(t) for the function F(s) = 52 - 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O =-24e-t+ + (-12)e-2t+6 +(-24)te-27 O 19 = (13e-++(-12)e-2t +(-24)te-210 O p0 = (13e-+ +(-24)e-2t+ (-12)te-24) (0) O 10 = 8e-t +(-12)e-2t *+ (-24)te-27 Identify f(t) for the function F (s) = 32 + 1 (s+3)(s2+4s+5) Multiple Choice 5e-3t_4e-2 tsin(t) О (5e-3t_4e-2tcos(f)( (5e-3t+4e-2tcos() 4e-36-5e-2tcos()
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) -...
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) - 8(t-2r), z(0) = 0, z'(0) = 1. Sketch the graph of the result ing function. 3. Find a first order system corresponding to the scalar equation and find its general solution. (a) y"-44y= 0. (b) t2y"- 4ty+ 4y = 0, t > 0. (It general solution is of the form y(t) = ct+ cztt.) 4. Find the general solution to the system r'= Ar,...
Name: (3) Consider the graph of the function 5e-3 (a) Find the z- and y-intercepts of the graph, ...
Can please help on how to simply the derivative
I get lost on part c
Name: (3) Consider the graph of the function 5e-3 (a) Find the z- and y-intercepts of the graph, if any. The answers are equa f(z) = tions, not numbers. (b) Find the horizontal and vertical asymptotes of the graph, if any. The answers are equations, not numbers. (c) Where is f(x) increasing? ...decreasing? The answers are intervals. (d) Where is f(x) concave up? concave down?...
Show how to graph please. Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞. Use your graph to write...
Show how to graph please.
Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞.
Use your graph to write this function piecewise as follows:
3t(h(t−4)−h(t−9))={
if 0≤t<4,0≤t<4,
if 4≤t<9,4≤t<9,
if 9≤t<∞.9≤t<∞.
Evaluate f(6.5)
f(6.5)=
a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1...
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 <...
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 < t < 0. Also f(t) = 0 for any other t (t < 1 or t 2 1). Answer the following questions: 1. Sketch the graph of f (t) 2. Calculate Fourier Transform F(j) 3. If g(t) = f(t) + 1, what is G(jw), ie. Fourier transform of g(t)? 4, extra 3-point credit: h(t) = f(t) + sin(kt), find the Fourier Transform of h(t).
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) f...
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t< 6, 3 ift26 f(t)
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i,...
1.) 2.) 3.) Identify f(t) for the function F(s) 8(+ 2)(8 + 3) s(s + 2)(s...
1.)
2.)
3.)
Identify f(t) for the function F(s) 8(+ 2)(8 + 3) s(s + 2)(s + 4) Multiple Choice (3.00+ 2.00e-2t-3.00e-4540 4.00u(t+ 2.00e-2t+3.00e-4t O (3.00 + 2.00e-2t +3.00e-44 3.00u(t) +2.00 e e-2t+4.00e-4 Find f(t) for the function F(s) = 32- 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O 29=-24e-t+ (-12) -2t *+(-24)te-27 О = (13e-t +(-12)e-2t + (-24)te-21) (1) + O 10 = (13e-*+(-24)e-2 +(-12)te-210 80 = 8e-T+(-12)e-2t + (-24)te-2t Identify f(t) for the function F...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t -...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
1.)
2.)
Find f(t) for the function F(s) = 52 - 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O =-24e-t+ + (-12)e-2t+6 +(-24)te-27 O 19 = (13e-++(-12)e-2t +(-24)te-210 O p0 = (13e-+ +(-24)e-2t+ (-12)te-24) (0) O 10 = 8e-t +(-12)e-2t *+ (-24)te-27 Identify f(t) for the function F (s) = 32 + 1 (s+3)(s2+4s+5) Multiple Choice 5e-3t_4e-2 tsin(t) О (5e-3t_4e-2tcos(f)( (5e-3t+4e-2tcos() 4e-36-5e-2tcos()
Sketch the graph of the resulting function. 2. Solve a" +x = 8(t - ) - 8(t-2r), z(0) = 0, z'(0) = 1. Sketch the graph of the result ing function. 3. Find a first order system corresponding to the scalar equation and find its general solution. (a) y"-44y= 0. (b) t2y"- 4ty+ 4y = 0, t > 0. (It general solution is of the form y(t) = ct+ cztt.) 4. Find the general solution to the system r'= Ar,...
Can please help on how to simply the derivative
I get lost on part c
Name: (3) Consider the graph of the function 5e-3 (a) Find the z- and y-intercepts of the graph, if any. The answers are equa f(z) = tions, not numbers. (b) Find the horizontal and vertical asymptotes of the graph, if any. The answers are equations, not numbers. (c) Where is f(x) increasing? ...decreasing? The answers are intervals. (d) Where is f(x) concave up? concave down?...
Show how to graph please.
Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞.
Use your graph to write this function piecewise as follows:
3t(h(t−4)−h(t−9))={
if 0≤t<4,0≤t<4,
if 4≤t<9,4≤t<9,
if 9≤t<∞.9≤t<∞.
Evaluate f(6.5)
f(6.5)=
a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 < t < 0. Also f(t) = 0 for any other t (t < 1 or t 2 1). Answer the following questions: 1. Sketch the graph of f (t) 2. Calculate Fourier Transform F(j) 3. If g(t) = f(t) + 1, what is G(jw), ie. Fourier transform of g(t)? 4, extra 3-point credit: h(t) = f(t) + sin(kt), find the Fourier Transform of h(t).
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t< 6, 3 ift26 f(t)
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i,...
1.)
2.)
3.)
Identify f(t) for the function F(s) 8(+ 2)(8 + 3) s(s + 2)(s + 4) Multiple Choice (3.00+ 2.00e-2t-3.00e-4540 4.00u(t+ 2.00e-2t+3.00e-4t O (3.00 + 2.00e-2t +3.00e-44 3.00u(t) +2.00 e e-2t+4.00e-4 Find f(t) for the function F(s) = 32- 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O 29=-24e-t+ (-12) -2t *+(-24)te-27 О = (13e-t +(-12)e-2t + (-24)te-21) (1) + O 10 = (13e-*+(-24)e-2 +(-12)te-210 80 = 8e-T+(-12)e-2t + (-24)te-2t Identify f(t) for the function F...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
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