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B. i) Convert ft) -10est+ 8est sin(12t) to the s-domain, for fit)>o. ii) Convert F(s) :24-to...
Part A B 1.5 ft 4 rad's e DG The mechanism is used to convert the...
Part A B 1.5 ft 4 rad's e DG The mechanism is used to convert the constant circular motion of rod AB into translating motion of rod CD. Compute the velocity and acceleration of CD for any angle of AB O VCD 6 sin ft/s, acD = 24 cose ft/s? OVCD = 6 cos e ft/s, acp = 0 1.5 sin 0 ft/s, acD = 1.5 cose ft/s? O VCD VCD = = 6 sin e ft/s, acp = 0...
8. (i) Find C[F(t)], where F(t) = { if 0 st 34, ift> 4 (ii) Compute...
8. (i) Find C[F(t)], where F(t) = { if 0 st 34, ift> 4 (ii) Compute the convolution e2 et directly by the definition of the convolution (iii) Evaluate Lle-2445 - e cos(4t) + sin(V2t)). blom.
1. (10 points) Let f(x) = S1 (+2) - 1, 2<1 1 - 4 sin(), >1...
1. (10 points) Let f(x) = S1 (+2) - 1, 2<1 1 - 4 sin(), >1 and g(x) = 5-24 (a) Sketch as much off and g as will fit on the graph below. Draw them in two different (dark) colors or one solid/one dashed, and clearly label the graph. -6 -4 -2 2 4 6 8 10X (b) Find the exact value of the limit below, and explain your reasoning in complete sentences. lim (g(x)) =
C) Consider the the function f(x) = sin(nz) on the domain x E [0,2]. I) Write...
C) Consider the the function f(x) = sin(nz) on the domain x E [0,2]. I) Write the Fourier series for the even extension of f. II) Write the Fourier series for the odd extension of f.
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial Fractions Decomposition to write the rational...
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial Fractions Decomposition to write the rational function as the sum of simpler expressions (b) Obtain the time-domain solution, x(t), by finding the inverse Laplace Transform of X(s) f(t)) had initial conditions, x(0) 0 and (c) Consider the inverse question, if the ODE (ä + ax + bx = 1, what was the input function in the time domain, f(t) (0)
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial...
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues...
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 +...
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 + /4) b) Convert to phasor form: B(1,1) = 32 sin (8710'+2.r --30°) ay c) Convert the phasor A. = 35337/4 to the exact time domain form A () = A, sin (wt + o), with w = 2 10% rad/sec. Since it is not defined, you must use the baseline assumption, A, = Re 4 d) Convert from phasor to a single cosine or...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the prope...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8.
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
6) Consider the below wave form when a-1 Hz (2n rad/sec) and b-0.9a F(t) sin(at)+sin(bt) I. Calcu...
Please help, the plotting can be done in excel or matlab
6) Consider the below wave form when a-1 Hz (2n rad/sec) and b-0.9a F(t) sin(at)+sin(bt) I. Calculate the beat frequency. II. Plot the beat frequency II. What is the optimum sampling rate? IV. Calculate the time interval between samples at the optimum sampling rate
6) Consider the below wave form when a-1 Hz (2n rad/sec) and b-0.9a F(t) sin(at)+sin(bt) I. Calculate the beat frequency. II. Plot the beat frequency...
Problem 24. Suppose the function f and its derivative f' are continuous on [a,bl. Let s...
Problem 24. Suppose the function f and its derivative f' are continuous on [a,bl. Let s be the are length of the curve f from the point (a, f(a)) to (b,f(b)). 1. Let a =x0 < 시<x2 < <x,' = b be a partition ofla,bl. 2. Show that s = 1 + Lr'(x) dx by using the Mean Value Theorem for differentiation
Part A B 1.5 ft 4 rad's e DG The mechanism is used to convert the constant circular motion of rod AB into translating motion of rod CD. Compute the velocity and acceleration of CD for any angle of AB O VCD 6 sin ft/s, acD = 24 cose ft/s? OVCD = 6 cos e ft/s, acp = 0 1.5 sin 0 ft/s, acD = 1.5 cose ft/s? O VCD VCD = = 6 sin e ft/s, acp = 0...
8. (i) Find C[F(t)], where F(t) = { if 0 st 34, ift> 4 (ii) Compute the convolution e2 et directly by the definition of the convolution (iii) Evaluate Lle-2445 - e cos(4t) + sin(V2t)). blom.
1. (10 points) Let f(x) = S1 (+2) - 1, 2<1 1 - 4 sin(), >1 and g(x) = 5-24 (a) Sketch as much off and g as will fit on the graph below. Draw them in two different (dark) colors or one solid/one dashed, and clearly label the graph. -6 -4 -2 2 4 6 8 10X (b) Find the exact value of the limit below, and explain your reasoning in complete sentences. lim (g(x)) =
C) Consider the the function f(x) = sin(nz) on the domain x E [0,2]. I) Write the Fourier series for the even extension of f. II) Write the Fourier series for the odd extension of f.
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial Fractions Decomposition to write the rational function as the sum of simpler expressions (b) Obtain the time-domain solution, x(t), by finding the inverse Laplace Transform of X(s) f(t)) had initial conditions, x(0) 0 and (c) Consider the inverse question, if the ODE (ä + ax + bx = 1, what was the input function in the time domain, f(t) (0)
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial...
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 + /4) b) Convert to phasor form: B(1,1) = 32 sin (8710'+2.r --30°) ay c) Convert the phasor A. = 35337/4 to the exact time domain form A () = A, sin (wt + o), with w = 2 10% rad/sec. Since it is not defined, you must use the baseline assumption, A, = Re 4 d) Convert from phasor to a single cosine or...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8.
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
Please help, the plotting can be done in excel or matlab
6) Consider the below wave form when a-1 Hz (2n rad/sec) and b-0.9a F(t) sin(at)+sin(bt) I. Calculate the beat frequency. II. Plot the beat frequency II. What is the optimum sampling rate? IV. Calculate the time interval between samples at the optimum sampling rate
6) Consider the below wave form when a-1 Hz (2n rad/sec) and b-0.9a F(t) sin(at)+sin(bt) I. Calculate the beat frequency. II. Plot the beat frequency...
Problem 24. Suppose the function f and its derivative f' are continuous on [a,bl. Let s be the are length of the curve f from the point (a, f(a)) to (b,f(b)). 1. Let a =x0 < 시<x2 < <x,' = b be a partition ofla,bl. 2. Show that s = 1 + Lr'(x) dx by using the Mean Value Theorem for differentiation
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