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over Ky(t) ==0) Assume in the following questions that M = 1, D = 2 and...
above is the answer, because this is unit step function, and we know initial value is...
above is the answer, because this is unit step function, and we
know initial value is zero, so I can separate the function into two
part just like following q5, and then use d/dt to equate both side.
but I cannot get the correct value, please help me
We were unable to transcribe this imageover Ky(t) ==0) Assume in the following questions that M = 1, D = 2 and K = 2. = e(-(Ki + K2) sin(t) + (Ki...
2. Consider the circular helix r(t)- (a cos t, a sin t, bt) where a > 0,b > 0. Let P(0, a, T) be ...
please answer all the 4 parts
of this question
2. Consider the circular helix r(t)- (a cos t, a sin t, bt) where a > 0,b > 0. Let P(0, a, T) be a point on the helix (a) Find the Frenet frame (T, N, B) at the point P (b) Find equations for the tangent and normal line at P (c) Find equations for the normal plane and the osculating plane at P (d) What is the curvature at...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t)...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
Calculate i(t) for t> 0 in the given circuit. Assume A = 35[1 – u(t)] V....
Calculate i(t) for t> 0 in the given circuit. Assume A = 35[1 – u(t)] V. + V - 1 F 16 A +1 H 592 The value of i(t) = (A) cos (Ct + Dº)u(t) A where A = C= and D =
Consider the following ODE where m= 10 kg, b = 2 N-s/m and u(t) = 0....
Consider the following ODE where m= 10 kg, b = 2 N-s/m and u(t) = 0. Assume initial conditions of z(0) = 15 and ż(0) = 25. Use MATLAB control system toolbox commands to simulate the dynamic response of the system for 0 st 35. m2 + bż = u(t) PLOT 2(t) and ż(t) on two sets of axes using the subplot command. REPORT: max 2 = max ż
where M=7 322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0...
where M=7
322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
Use the given information to find each value. cost = 0<t<A/2 (a) cos 2t (No Response)...
Use the given information to find each value. cost = 0<t<A/2 (a) cos 2t (No Response) (b) sin 2 (No Response) (c) cos(1) (No Response) (d) sin() (No Response) 28. - 2 POINTS FDPRECALC5 4.9.005. MY NOTES ASK YOUR TEACHER Let the angles of a triangle be a, b, and y, with opposite sides of length a, b, and c, respectively. Use the Law of Sines to find the remaining sides. (Round your answers to one decimal place.) a =...
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1...
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1 + u cos 21 fmt] cos 2n fet where 0 <u < 1 and fc >> fm. If the envelope detector output is to follow the envelope of (t) at any time t, then the RC constant should satisfy the condition: 1+ u cos 21 fmt RC = 21fmu sin 21 fmt Show that for the above condition to be satisfied at all times,...
2. Use eigenfunction expansion to solve the following IBVP: u,(x, t) ="-(x,t) + (t-1)sin(m), 0 0 ...
2. Use eigenfunction expansion to solve the following IBVP: u,(x, t) ="-(x,t) + (t-1)sin(m), 0
(1 point) Consider the initial value problem my"+cy'+ky F(t), y(0) = 0, y'(0) = 0 modeling...
(1 point) Consider the initial value problem my"+cy'+ky F(t), y(0) = 0, y'(0) = 0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(), where the unit of force is the Newton (N). Assume that m 2 kilograms, c 8 kilograms per second, k 80 Newtons per meter, and F(t) 60 cos(8t) Newtons. a. Solve the initial value problem. help (formulas) b. Determine the long-term behavior of the system. Is lim y(t)=...
above is the answer, because this is unit step function, and we
know initial value is zero, so I can separate the function into two
part just like following q5, and then use d/dt to equate both side.
but I cannot get the correct value, please help me
We were unable to transcribe this imageover Ky(t) ==0) Assume in the following questions that M = 1, D = 2 and K = 2. = e(-(Ki + K2) sin(t) + (Ki...
please answer all the 4 parts
of this question
2. Consider the circular helix r(t)- (a cos t, a sin t, bt) where a > 0,b > 0. Let P(0, a, T) be a point on the helix (a) Find the Frenet frame (T, N, B) at the point P (b) Find equations for the tangent and normal line at P (c) Find equations for the normal plane and the osculating plane at P (d) What is the curvature at...
Problem 1: Let the impulse response of an LTI system be given by 0 t< h(t) = 〉 1 0 < t < 1 0 t>1 Find the output y(t) of this system if the input is given by a) x(t) = 1 + cos(2nt) b) x(t)-cos(Tt) c) x(t) sin (t )l d) x(t) = 1 0 < t < 10 0 t 10 e) x(t) = δ(t-2)-5(t-4) f) a(t)-etu(t) Problem 2: For the same LTI system in Problem 1,...
Calculate i(t) for t> 0 in the given circuit. Assume A = 35[1 – u(t)] V. + V - 1 F 16 A +1 H 592 The value of i(t) = (A) cos (Ct + Dº)u(t) A where A = C= and D =
Consider the following ODE where m= 10 kg, b = 2 N-s/m and u(t) = 0. Assume initial conditions of z(0) = 15 and ż(0) = 25. Use MATLAB control system toolbox commands to simulate the dynamic response of the system for 0 st 35. m2 + bż = u(t) PLOT 2(t) and ż(t) on two sets of axes using the subplot command. REPORT: max 2 = max ż
where M=7
322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
Use the given information to find each value. cost = 0<t<A/2 (a) cos 2t (No Response) (b) sin 2 (No Response) (c) cos(1) (No Response) (d) sin() (No Response) 28. - 2 POINTS FDPRECALC5 4.9.005. MY NOTES ASK YOUR TEACHER Let the angles of a triangle be a, b, and y, with opposite sides of length a, b, and c, respectively. Use the Law of Sines to find the remaining sides. (Round your answers to one decimal place.) a =...
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1 + u cos 21 fmt] cos 2n fet where 0 <u < 1 and fc >> fm. If the envelope detector output is to follow the envelope of (t) at any time t, then the RC constant should satisfy the condition: 1+ u cos 21 fmt RC = 21fmu sin 21 fmt Show that for the above condition to be satisfied at all times,...
2. Use eigenfunction expansion to solve the following IBVP: u,(x, t) ="-(x,t) + (t-1)sin(m), 0
(1 point) Consider the initial value problem my"+cy'+ky F(t), y(0) = 0, y'(0) = 0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(), where the unit of force is the Newton (N). Assume that m 2 kilograms, c 8 kilograms per second, k 80 Newtons per meter, and F(t) 60 cos(8t) Newtons. a. Solve the initial value problem. help (formulas) b. Determine the long-term behavior of the system. Is lim y(t)=...
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