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##### Communication system transmits sinusoidal signal at three different frequencies_ The propagation of the signal causes fading; The receiver measures the signal strength at the three frequencies The measurement results areH + N; Hz + Nz; Hs + Ns;Zz Z3where Hi, i = 1,2,3 represents the signal ~fading level at the three different frequencies and Ni, = 1,2,3 represents the measurement noise_ The fading levels at the three different frequencies are known to be zero mean Gaussian with covariance matri

communication system transmits sinusoidal signal at three different frequencies_ The propagation of the signal causes fading; The receiver measures the signal strength at the three frequencies The measurement results are H + N; Hz + Nz; Hs + Ns; Zz Z3 where Hi, i = 1,2,3 represents the signal ~fadin...

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##### Exercise_2 (15pts J physicist is sent to a small planet to conduct some experiments. He found that: for an object of mass 2 kg, tossed straight upward with an initial speed of 14 m/s, takes 9 seconds to hit the ground The radius of the planet is 3.18 x 107m. Based on the data collected: 1. Calculate the magnitude ofthe gravitational acceleration g on the planet Compute the mass of the small planet. 3. If the space craft of the physicist orbits the small planet in a nearly circular path at 30,000

Exercise_2 (15pts J physicist is sent to a small planet to conduct some experiments. He found that: for an object of mass 2 kg, tossed straight upward with an initial speed of 14 m/s, takes 9 seconds to hit the ground The radius of the planet is 3.18 x 107m. Based on the data collected: 1. Calculate...

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##### Find the cosine of the angle between the vectors P1 (x) =1+ 21 _ x2 and p2 (x) = -1 - 3x + 2x2 with respect to the standard inner product on P2_None

Find the cosine of the angle between the vectors P1 (x) =1+ 21 _ x2 and p2 (x) = -1 - 3x + 2x2 with respect to the standard inner product on P2_ None...

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##### Aparticle moves along the cuIVe X =3 sin = 30 17 co5 Find the velocity and acceleration at auy time 0>0. ~Fiud the magnitude of velocity and acceleration at (=1 sec

Aparticle moves along the cuIVe X =3 sin = 30 17 co5 Find the velocity and acceleration at auy time 0>0. ~Fiud the magnitude of velocity and acceleration at (=1 sec...

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##### The heating element of a water heater in an apartment building has a maximum power output of $28 \mathrm{kW}$. Four residents of the building take showers at the same time, and each receives heated water at a volume flow rate of $14 \times 10^{-5} \mathrm{m}^{3} / \mathrm{s} .$ If the water going into the heater has a temperature of $11^{\circ} \mathrm{C},$ what is the maximum possible temperature of the hot water that each showering resident receives?

The heating element of a water heater in an apartment building has a maximum power output of $28 \mathrm{kW}$. Four residents of the building take showers at the same time, and each receives heated water at a volume flow rate of $14 \times 10^{-5} \mathrm{m}^{3} / \mathrm{s} .$ If the water going in...

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##### Graph the indicated functions. The resistance $R$ (in $\Omega$ ) of a resistor as a function of the temperature $T$ (in $^{\circ} \mathrm{C}$ ) is given by $R=250(1+0.0032 T) .$ Plot $R$ as a function of $T$

Graph the indicated functions. The resistance $R$ (in $\Omega$ ) of a resistor as a function of the temperature $T$ (in $^{\circ} \mathrm{C}$ ) is given by $R=250(1+0.0032 T) .$ Plot $R$ as a function of $T$...

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##### 4x2 + ZX-1 dx_ 2x3 + 3x2 _ 2xEXAMPLE 2 EvaluateSOLUTION Since the degree of the numerator is less than the degree of the denominator, we don't need to divide. We factor the denominator as 2x3 3x2 2x x(2x2 + 3x - 2) = x(2x 1)(x + 2). Since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formt4x2 + Zx - 1 x(2x T)(x + 2)4 + B 2-7 + X+2To determine the values of A, B, and C, we multiply both sides of this equation by the product of

4x2 + ZX-1 dx_ 2x3 + 3x2 _ 2x EXAMPLE 2 Evaluate SOLUTION Since the degree of the numerator is less than the degree of the denominator, we don't need to divide. We factor the denominator as 2x3 3x2 2x x(2x2 + 3x - 2) = x(2x 1)(x + 2). Since the denominator has three distinct linear factors, the...

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##### Provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed. Given: $\quad$ Quadrilateral $R S T V$ inscribed in $\odot Q$ Prove: $\quad \mathrm{m} \angle R+\mathrm{m} \angle T=\mathrm{m} \angle V+\mathrm{m} \angle S$ (Circle can't copy)

Provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed. Given: $\quad$ Quadrilateral $R S T V$ inscribed in $\odot Q$ Prove: $\quad \mathrm{m} \angle R+\mathrm{m} \angle T=\mathrm{m} \angle V+\mathrm{m} \angle S$ (Circle can't copy)...

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##### Let the graph below represent Ix) on the interval [-2,2]. For which values of xis f"(x) =

Let the graph below represent Ix) on the interval [-2,2]. For which values of xis f"(x) =...

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##### Imagine a particle with spin 1/2 moves (in a 1Dharmonic oscillator potential). A magnetic field B along the z axisis turned on. The Hamiltonian now will be the Hamiltonian of thesimple harmonic oscillator, plus a term for the spin along the zaxis:((p^2)/2m)+(1/2)mw^2x^2+(uBSz)and the states of this system are written as âŽ¥n,m What are the energy eigenvalues of the system, Enm?

Imagine a particle with spin 1/2 moves (in a 1D harmonic oscillator potential). A magnetic field B along the z axis is turned on. The Hamiltonian now will be the Hamiltonian of the simple harmonic oscillator, plus a term for the spin along the z axis: ((p^2)/2m)+(1/2)mw^2x^2+(uBSz) and the states of...

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##### Quesiion Heipcondderecsummary slalstics for randomly selected welghis ol newborn girs: n = 207, confidenco Interval estimate of the mean, Use *=27.6 hg, 5=7.95 hg: Constuct a 95% confidence level Rre interval 25.6 these rosults vary different from the confidonce hg<p < 29.0 hg wilh only 20 sample values, 727.3 hg, and 5 = 3.7 hg? What is the confidence interval for the ppulation moan p? hg<u<[ hg (Round to one decimal place as needed )

Quesiion Heip condderecsummary slalstics for randomly selected welghis ol newborn girs: n = 207, confidenco Interval estimate of the mean, Use *=27.6 hg, 5=7.95 hg: Constuct a 95% confidence level Rre interval 25.6 these rosults vary different from the confidonce hg<p < 29.0 hg wilh only 20 sa...

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##### 1 1 Compute Price felatives 1 1800 meports 1 1 "Jch 1,800 3011 650.00 a50 1 Vi nan Lu0oS [ 1 7009 IWO Iems 12009 and 2011. alilut0compute &pulingtb

1 1 Compute Price felatives 1 1800 meports 1 1 "Jch 1,800 3011 650.00 a50 1 Vi nan Lu0oS [ 1 7009 IWO Iems 12009 and 2011. alilut 0 compute & pulingtb...

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##### Sketch the triangular region with vertices (0,0), (2,0), (0,3) and rotate this region about the X- axis Find the volume of the solid so generated by using the method of slicing: Solve the question in the answer sheet: Insert the result in the text boxThe volume is

Sketch the triangular region with vertices (0,0), (2,0), (0,3) and rotate this region about the X- axis Find the volume of the solid so generated by using the method of slicing: Solve the question in the answer sheet: Insert the result in the text box The volume is...

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##### 0-/4 points SerPSET9 15.P.006_piston gasoline engine Find the magnitude mlssimple hamonic motion. The enginerunningthe rate970 revlmin. Taking -axtremespositionativecenterPoint 44.25the maximum locity the piston.(D) Find the magnitude of the maximum acceleration of the piston km/s2

0-/4 points SerPSET9 15.P.006_ piston gasoline engine Find the magnitude mls simple hamonic motion. The engine running the rate 970 revlmin. Taking - axtremes position ative center Point 44.25 the maximum locity the piston. (D) Find the magnitude of the maximum acceleration of the piston km/s2...

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##### 4_ Let G be the graph on n vertices (n Z 4) obtained from Kn by removing n edges forming an n-cycle: Determine the chromatic number of G.

4_ Let G be the graph on n vertices (n Z 4) obtained from Kn by removing n edges forming an n-cycle: Determine the chromatic number of G....

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##### Assay questions 5 points each 1-What RFLP stand for and what RFLP analysis test for? 2-Why do you add sample loading buffer to DNA sample prior to loading sample into agarose gel. 3-In cheek DNA extraction procedure, name two steps that helped to break (lysis) the cheek cells: 4- Would a shorter DNA fragment move faster or slower through agarose gel, why:

Assay questions 5 points each 1-What RFLP stand for and what RFLP analysis test for? 2-Why do you add sample loading buffer to DNA sample prior to loading sample into agarose gel. 3-In cheek DNA extraction procedure, name two steps that helped to break (lysis) the cheek cells: 4- Would a shorter DNA...

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##### You use & computer program that approximates f (1) by f(z) , the latter includes a round-off error that is bounded from above by a constant â‚¬; that is, Rol < â‚¬ Assume there exists a constant M such that dx" f(c) < M for all derivatives of order n > 1 and all 1 . Using centered finite difference approximation of the derivative; & f(z), the computational error is given byComputational error using centered differencedf(c) _ flz +h) _ fls _ b) dx 2h On the other hand; the

You use & computer program that approximates f (1) by f(z) , the latter includes a round-off error that is bounded from above by a constant â‚¬; that is, Rol < â‚¬ Assume there exists a constant M such that dx" f(c) < M for all derivatives of order n > 1 and all 1 . Using c...

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##### Iwc point charges are hxed on the Y axis: 3 negative point charge 91 ~27UC atY: =+0.16 mand a positive point charge Azaty2 X0.39m A third point charge q = +8.9 UC Is fixed at the origin The net electrostatic force exerted on the charge Gby theather two charges has a magnitude 0f 24 Nand points In the +Y direction Determine the magnitude 0f4rNumbere #40 $Unlts

Iwc point charges are hxed on the Y axis: 3 negative point charge 91 ~27UC atY: =+0.16 mand a positive point charge Azaty2 X0.39m A third point charge q = +8.9 UC Is fixed at the origin The net electrostatic force exerted on the charge Gby theather two charges has a magnitude 0f 24 Nand points In th...

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##### AssuMeis January 2020 and you have information that leads you believe globu pandemic is going soon hit the shores the United States_The Eurodollar futures price on 12/6/2020 for 12/2020 settlement i 98.46 (1.5496) and for 9/2024 settlement_ 98.25 (1.7590). Spread 1.75 - 1.54 0.21reasonable expectations that monetary policy will be extremely accommodating in the near future,i.e. short term rates will be near zero, and inflation expectations are non-existent Explain how you would DUy the yield cur

AssuMe is January 2020 and you have information that leads you believe globu pandemic is going soon hit the shores the United States_ The Eurodollar futures price on 12/6/2020 for 12/2020 settlement i 98.46 (1.5496) and for 9/2024 settlement_ 98.25 (1.7590). Spread 1.75 - 1.54 0.21 reasonable expect...