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Question 3 Evaluate. 12 when 0<t<5 L {f(t) } where f(t) = 0 when 5<t<10 e4t...
Question 12 10 pts (10) Evaluate fc F.d7, where F =< y- cosy, asiny > and the closed curve C is the quarter-circle given by x2 + y2 = 9 from (0, 3) to (3,0), followed by the line segment from (3,0) to (0,0), followed by the line segment from (0,0) back to (0,3).
T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
Find the Laplace transform of g(t)=e4t +5cos(3t) - e3tcos(6t). f(t)=7e-3t+4+? - 12 3 h(t)=(10) 2
find the Laplace Transform of f(t) = t2 - 3t,
where f has a period 3, for 0
We were unable to transcribe this image(c) L[f(t)] where f has period 3, f(t) = 12 - 3t for 0 st <3
please show all steps
Find L{f}(s) directly by evaluating the integral if 2t when 0 <t<3, when t > 3.
Evaluate f *3yxds, where pic is the vector r(t)=<sin (34), cos (-3+), Ton TH7; acte 67
l, t)4u (x, t), 0<x< L, 0 <t Evaluate u(1.1; 0.3) where u(x, t) u(0, 1)= u(L, t)- 0v1> 0 u(x, 0)= f(x), u,(x, 0)- g(x), 0<x< L L=T al f(x) 3sin 2x, g(x)=-2sin 3x b/ For f(x)-xn-x & g(x)-0, approximate numerically u(x, t) by the first term. L-S c/f(x)=-3sin g(x)- 5 2sin d/ f(x)-0, g()= .3 x +1 approximate numerically u(x, t) by the first term c/ f(x)-2(5-xx, g(x) x+1 3 approximate numerically u(x, t) by the first couple...
The Laplace transform of the plecewise continuous function f(t) = S4, 0<t<3 12, t> 3 Is given by [{f} = { (3 – e-"), o>0. None of them 1 [{f} = (1 – 2e-4), 8>0. 0 [11] = (1 – 3e-4), 0> 0. ° L{f} = { (2–e=4), o>0.
QUESTION 10 Find the Laplace Transform of f(t) = 0 ift<1: f(t) = tiflsts 2: f(t) = 0 ift> 2. ign 5
1. (5 points) Let 0 <t<4 f(t) = {t, t24 Find L{f(t)} if it exists. For what values s does the Laplace transform exist?