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(1 point) Find the solution of y" + 4y' = 256 sin(41) + 160 cos(4t) with...
(1 point) Given that cos(At)e 4 Ct find the Laplace transtorm of y E(VE cos(4t)) = Cos(4t) (1 point) Given that cos(At)e 4 Ct find the Laplace transtorm of y E(VE cos(4t)) = Cos(4t)
find the solution of 2ty'-4y=4t^(4)*e^(t^2) y(1)=0
a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x) b. Find the most general solution to the associated homogeneous differential equation. Use cand in your answer to denote arbitrary constants. c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 8 and y'(0) = 4
(1 point) Find a particular solution to y' + 16y = 40 sin(4t). yp =
1 point) Check by differentiation that y 3 cos 2t+3 sin 2t is a solution to y" 4y 0 by finding the terms in the sum: y" 4y So y" +4y
Find the slope of the tangent line to the Lissajous curve cos(t), y = sin(4t) at t = 1/6. Eliminate the parameter to find the Cartesian equation of the curve x = 41-t, y = (1+t, -1st s 1. Identify what type of curve this is. You do not have to sketch the curve.
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
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
3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m 3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m
Find the general solution of y” + 4y' + 5y = 0. Select one: • a. y = {-2x (cos(x) + sin(x)) b. y = e-24 (A cos(x) + B sin(x)) c.y = Cje-2x (cos(x) + sin(x)) O d. y = e*(A cos(2x) + B sin(2x))