(1 point) Given that cos(At)e 4 Ct find the Laplace transtorm of y E(VE cos(4t)) = Cos(4t)
WHEN а) RiND Laplace transtorm (5 +e3t+56 2+) COS(6+) F(s) of bs find INVERSE Laplace transtorm ert) F(s) = +229 +5 2
(1 point) Let Solve the differential equation using Laplace transforms. t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) ft 4T y(t) = ift>4 -cos(4t)/16+1/16+3/4sin(4t)+4cos(4t)
(1 point) Find the solution of y" + 4y' = 256 sin(41) + 160 cos(4t) with y(0) = 4 and y'(0) = 4.
A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite time, say T seconds. Then, t-T/2 what we observe is actually y(t) g (t)rect . Find (analytically) the Fourier transtorm of y(t). Write your answer in terms of sinc functions. A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite...
Problem 2: Find the Laplace transform of the following function f(t) = t3e2t + 2e-4t cos 4t + 5t2 sin 3t.
plz answer both questions, thank you! (1 point) Given that cſ cos(5/6) / e-6.25/s find the Laplace transform of V cos(5vi). {{Vcos(577)} = (1 point) Consider the initial value problem 1" + 4y = cos(2t), y(0) = 3, y(0) = 9. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to...
Use the figure provided below for multiple choice 6 and 7... 5) If i= cos(4t) and y=sin(4t), the element is: a) a resistor b) a capacitor c) an inductor d) a resistor in series with a capacitor e) a resistor in series with an inductor 6) If i= cos(4t) and v= cos(4t+30°), the element is: a) a resistor b) a capacitor c) an inductor d) a resistor in series with a capacitor e) a resistor in series with an inductor
(1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 8 times. You received a score of 50% for this attempt. Your overall recorded score is 50%. (1 point) Let -13 Solve the differential equation using Laplace transforms ft S 4r t/16-sin(4t)/64+3/4sin(4t)+4cos(4t) y(t) = 3/4sin(4t)+4cos(4t)-pi/4cos(4t)+pi/4 Note: You can earn...
Find the curvature of the curve r(t) = (3 cos(4t), 3 sin(4t), t) at the point t = 0 Give your answer to two decimal places Preview
find the solution of 2ty'-4y=4t^(4)*e^(t^2) y(1)=0