Solve the IVP and use the result to find amplitude and the phase shift (in degree)....
Will Upvote Correct Answers Exercise 1 Determine the amplitude, the frequency, the phase shift and the period of the motion given by u(t)3 cos(2)3 sin(2t) Hint: rewrite u into the form u(t) = Rcos(wt - 6) Exercise 2 A mass of 0.5 kg stretches a spring 49 cm. Suppose that the mass is also attached to a viscous damper with a damping constant 0.5 N -s/cm. If the mass is pulled down 5 cm below its equilibrium and then released,...
Part B please! Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 9x - 10y + sint y' = 5x -y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 O A. y(t) = C, e -41 cos 5t + Cge -41 sin 5t + no cost + 200 sint O B. y(t) =C, e4+ Czte 4 + 2...
Use the method of variation of parameters to find the general solution y(t) to the given differential equation y" + 25y = sec (5t) Oy(t) = ci cos(5t) + c2 sin(5t) tan(5t) + 25 sec(26) 25 y(t) = c cos(5t) + c sin(5t) 1 sec(56) + 50 1 25 tan(5t) sin(5t) VC) = so 1 sec(5t) + 50 1 tan(5t) sin(5t) 25 1 y(t) = ci cos(5t) + c) sin(5t) 2. sec(54) + tan(56) sin(56) 50 O y(t) = C1...
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
Find the amplitude, period, and phase shift of the function. y = 2 sin(x - 1) amplitude period phase shift Graph one complete period. у 1 V 2x 2x -2 0-31 31 Graph one complete period. 2 2x 21 0-31 AN - 2
Problem A Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then sketch the graph using radians. No computer graphs - sketches need to be on graph paper with properly labeled axes. 1 2) y-2sin 1) y=-2+..cos(30 + 35 4) yaz.cos(30 + )-1 + 1 3) y - 3sin 30+
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one period starting with the phase shift. (No need to sketch the graph) e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...
Please solve the following problem. Thank you th 125 HW4 Name: Find the amplitude, period, and phase shift of the given functions. Then graph one cycle of the functions: y = 2 + cos(5x + T) (2) y=1 - sin(2x – 21)
Match the graphs with their parametric equations. II y 2.0 kor 1.51 0.5 1.01 -1.0 -0.5 0.5 1.0 0.5 -0.51 -1.0 -0.5 0.5 1.0 ho IV 8 III у 0.21 6 0.1 х 40.2 -0.1 0.1 0.2 -0.1 -0.2 VI v у 11.06 у 0 0.B os 0.6 0.4 |-ho -0.5 0.5 102 -0.5 0.5 1.0 1.5 2.0 2.5 3.0 (a) x = 44 - t + 1, y = 42 Х IV = 42 – 2t, y = VE...
1. Find the amplitude, period, midline, phase shift and graph over one period the following function: f(x) = 5cos(2x − π). (Please don’t use a calculator, include details on the graph (points on both axes)) 2. Use the fundamental identities to fully simplify the expression: csc(x) + cos(x)cot(−x)