Homework Answers
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
Consider the following Transition Matrix, T: From A B C A B C 0.2 0.5 0.3...
Consider the following Transition Matrix, T: From A B C A B C 0.2 0.5 0.3 0.3 0.3 0.4 0.5 0.1 0.4 Find the following probabilities: a.) moving from state A to state C b.) moving from state B to state A c.) remaining in state C
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Dr...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
two sinusoidal waves traveling along a string, modeled as yi(x, t) . (0.2 m)srt2 m-1)s +...
two sinusoidal waves traveling along a string, modeled as yi(x, t) . (0.2 m)srt2 m-1)s + (1 s-1M and y2(x, t)s (0.4 m)sit4 m-1jr (4 s-in what is the vertical d of the resultant wave formed by the interference of the two waves at the position x-0.9 m at time t-0.3 s? (Ind cate the direction with the sign of your answer.) nt (in
(Only need help with parts b and c) Consider the transition matrix If the initial state is x(0) =...
(Only need help with parts b and c)
Consider the transition matrix
If the initial state is x(0) = [0.1,0.25,0.65] find the nth
state of x(n). Find the limn→∞x(n)
(1 point) Consider the transition matrix 0.5 0.5 0.5 P 0.3 0.3 0.1 0.2 0.2 0.4 10 a. Find the eigenvalues and corresponding eigenvectors of P. ,-| 0 The eigenvalue λι The eigenvalue λ2-1 The eigenvalue A3 1/5 corresponds to the eigenvector vi <-1,1,0> corresponds to the eigenvector v2 = <2,1,1>...
A student sends a series of waves through a coiled spring. The horizontal position as a...
A student sends a series of waves through a coiled spring. The
horizontal position as a function of time for a point on the spring
is shown in the graph. The frequency of the wave if the student
triples the period of the wave is most nearly
1.0- 0.5 Horizontal Position (cm) 0- M -0.5 -1.0 0.2 0.4 0.6 Time (s) A student sends a series of waves through a coiled spring. The horizontal position as a function of time...
Questions 1. Consider the calibration graph and the absorption spectrum for solutions of metal ion, M...
Questions 1. Consider the calibration graph and the absorption spectrum for solutions of metal ion, M * Absorption Spectrum for M Calibration Curve for M 0.8 0.7 1.2 0.6 1 0.5 S 0.8 0.4 0.6 0.3 0.4 0.2 0.1 0.2 0- 0 0.5 0.4 0.3 0.2 0.1 400 450 500 550 600 650 700 [M*1 (Molar) (入) nm a) At what wavelength was the calibration curve obtained? Explain your answer. b) Use the calibration curve to calculate the concentration (M)...
Determine P(z 〈-2.5) 0 A) B) 0.3 0.0041399 0.0031049 0.2 C) D) 0.1 0.18630 0.0062099 μ-0...
Determine P(z 〈-2.5) 0 A) B) 0.3 0.0041399 0.0031049 0.2 C) D) 0.1 0.18630 0.0062099 μ-0 E) None of These
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 =...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
mass (kg) stretch (mm) stretch (mm) 0 0 100 0.1 80 1.63 60 0.2 Stretch (mm)...
mass (kg) stretch (mm) stretch (mm) 0 0 100 0.1 80 1.63 60 0.2 Stretch (mm) 3.27 40 20 0.3 4.9 0 0.5 8.17 0 1 2 3 4 5 6 Mass (kg) 1 16.3 5 81.7 You want to find the spring constant of a certain spring. You hang a series of masses on the spring, one at a time, allowing the spring to stretch slowly so that it comes to rest in equilibrium. For each mass you measure...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
two sinusoidal waves traveling along a string, modeled as yi(x, t) . (0.2 m)srt2 m-1)s + (1 s-1M and y2(x, t)s (0.4 m)sit4 m-1jr (4 s-in what is the vertical d of the resultant wave formed by the interference of the two waves at the position x-0.9 m at time t-0.3 s? (Ind cate the direction with the sign of your answer.) nt (in
(Only need help with parts b and c)
Consider the transition matrix
If the initial state is x(0) = [0.1,0.25,0.65] find the nth
state of x(n). Find the limn→∞x(n)
(1 point) Consider the transition matrix 0.5 0.5 0.5 P 0.3 0.3 0.1 0.2 0.2 0.4 10 a. Find the eigenvalues and corresponding eigenvectors of P. ,-| 0 The eigenvalue λι The eigenvalue λ2-1 The eigenvalue A3 1/5 corresponds to the eigenvector vi <-1,1,0> corresponds to the eigenvector v2 = <2,1,1>...
A student sends a series of waves through a coiled spring. The
horizontal position as a function of time for a point on the spring
is shown in the graph. The frequency of the wave if the student
triples the period of the wave is most nearly
1.0- 0.5 Horizontal Position (cm) 0- M -0.5 -1.0 0.2 0.4 0.6 Time (s) A student sends a series of waves through a coiled spring. The horizontal position as a function of time...
Questions 1. Consider the calibration graph and the absorption spectrum for solutions of metal ion, M * Absorption Spectrum for M Calibration Curve for M 0.8 0.7 1.2 0.6 1 0.5 S 0.8 0.4 0.6 0.3 0.4 0.2 0.1 0.2 0- 0 0.5 0.4 0.3 0.2 0.1 400 450 500 550 600 650 700 [M*1 (Molar) (入) nm a) At what wavelength was the calibration curve obtained? Explain your answer. b) Use the calibration curve to calculate the concentration (M)...
Determine P(z 〈-2.5) 0 A) B) 0.3 0.0041399 0.0031049 0.2 C) D) 0.1 0.18630 0.0062099 μ-0 E) None of These
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
mass (kg) stretch (mm) stretch (mm) 0 0 100 0.1 80 1.63 60 0.2 Stretch (mm) 3.27 40 20 0.3 4.9 0 0.5 8.17 0 1 2 3 4 5 6 Mass (kg) 1 16.3 5 81.7 You want to find the spring constant of a certain spring. You hang a series of masses on the spring, one at a time, allowing the spring to stretch slowly so that it comes to rest in equilibrium. For each mass you measure...
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