Numerade

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One of the reasons why this decrease occurred was that _____. A.more men took paternity leave more men took paternity leavemore men took paternity leave B.employers received a tax penalty for hiring men employers received a tax penalty for hiring menemployers received a tax penalty for hiring men C.women took men's jobs women took men's jobswomen took men's jobs D.there were fewer people under 16 there were fewer people under 16there were fewer people under 16 E.more older men decided to retire early more older men decided tomore older men decided to retire earlyretire early

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Let the function $f$ be defined by $y = f(x)$, where $x$ and $f(x)$ are real numbers. Find $f(2)$, $f(-5)$, $f(k)$, and $f(k^2 - 1)$. $$f(x) = \frac{3}{x - 5}$$ $f(2) = $ $f(-5) = $ $f(k) = $ $f(k^2 - 1) = $

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Write the ratio statement as a fraction and reduce to lowest terms if possible. \[ 18: 60 \] The ratio statement written as a fraction is $ \square $

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b) Find $I_B$, $V_{CE}$, and $v_o$ in the circuit below. Take $\beta = 200$, and $V_{BE} = 0.7V$

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Problem 11.2 In spherical polar coordinates (r, θ, φ) the unit basis vectors can be written on a Cartesian basis as hat{e}_{r} = sin heta cosphi hat{i} + sin heta sinphi hat{j} + cos heta hat{k} hat{e}_{ heta} = cos heta cosphi hat{i} + cos heta sinphi hat{j} - sin heta hat{k} hat{e}_{phi} = -sinphi hat{i} + cosphi hat{j} (a) Show that the derivatives of these basis vectors with respect to (time) t can be expressed by frac{dhat{e}_{r}}{dt} = heta ˙ hat{e}_{ heta} + sin heta phi ˙ hat{e}_{phi} frac{dhat{e}_{ heta}}{dt} = - heta ˙ hat{e}_{r} + cos heta phi ˙ hat{e}_{phi} frac{dhat{e}_{phi}}{dt} = -sin heta phi ˙ hat{e}_{r} - cos heta phi ˙ hat{e}_{ heta} (b) A general point P has a position vector vec{p} given in spherical polar coordinates by vec{p} = rhat{e}_{r}. Find an expression for its velocity vector and show that its acceleration has components r ̈ - r heta ˙ ^2 - rsin^2 heta phi ˙ ^2, r heta ̈ + 2r ˙ heta ˙ - rsin heta cos heta phi ˙ ^2 and 2(r ˙ sin heta + rcos heta heta ˙ )phi ˙ + rsin heta phi ̈. (c) Verify that this general result reduces to the ones expected when (i) phi is constant and (ii) heta = frac{pi}{2} with heta ˙ = 0. (Ans: (b) vec{v} = r ˙ hat{e}_{r} + r heta ˙ hat{e}_{ heta} + rsin heta phi ˙ hat{e}_{phi}. (c) (i) r ̈ - r heta ˙ ^2, r heta ̈ + 2r ˙ heta ˙ . {(:(r ̈) - rphi ˙ ^2, r(phi ̈) + 2(r ̇)(phi ̇).)} 2. Problem 11.2 In spherical polar coordinates (r, θ) the unit basis vectors can be written on a Cartesian basis as hat{e}_{r} = sincoshat{i} + sinsinhat{j} + coshat{k} hat{e}_{ heta} = coscoshat{i} + cossinhat{j} - sin = -sin + cos (a) Show that the derivatives of these basis vectors with respect to (time) t can be expressed by frac{dhat{e}_{r}}{dt} = hat{e}_{ heta} + sinhat{e}_{phi} frac{dhat{e}_{ heta}}{dt} = -hat{e} + coshat{e} frac{dhat{e}_{phi}}{dt} = -sinhat{e} - coshat{e} (b) A general point P has a position vector p given in spherical polar coordinates by p = r hat{e}_{r}. Find an expression for its velocity vector and show that its acceleration has components -r^2 - rsin^2 2r0 + 20 - r sin 0 cos 0 2 and 2 sin + r cos + r sin (c Verify that this general result reduces to the ones expected when (i is constant and (ii) = /2 with = 0. (Ans: (b) = e + r0e g + r sin 0 e o. (c) (i) r - r g 2, r + 2 o. (ii) -r 2, r + 2 r o.)

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Evaluate the integral $\int_{-\pi/4}^{\pi/4} 18x^2 \sin(x) dx$.

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Exercise 1.5.4: Use Gauss-Jordan elimination to solve the system of equations 3x - y - 2z = 3, y - 4z = 0, and -2x + y = -2. Please show all steps by hand, including how the matrix is reduced.

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A map (made up) of a dragonfly chromosome is given above (note that distances are in cM). For this question, w= wingless, w^(+)=normal wings, sp= spotted thorax, sp^(+)=normal thorax A cross between a fly of genotype w^(+)Wsp^(+)sp and a homozygous recessive fly produces 167 offspring flies. If the heterozygote parent fly was a coupling heterozygote, which of the following represents the most probable number of recombinant progeny flies with a given phenotype? A) 10 wingless flies B) 20 wingless flies C) 10 wingless, spotted thorax flies D) 20 spotted thorax flies E) 20 wingless, spotted thorax flies pr sp t 7 - 50 34 43 55 A map(made up) of a dragonfly chromosome is given above (note that distances are in cM). For this question, w = wingless, w* = normal wings, sp = spotted thorax, sp* = normal thorax A cross between a fly of genotype w*w sp* sp and a homozygous recessive fly produces 167 offspring flies. If the heterozygote parent fly was a coupling heterozygote, which of the following represents the most probable number of recombinant progeny flies with a given phenotype? A) 10 wingless flies B) 20 wingless flies C) 10 wingless,spotted thorax flies D) 20 spotted thorax flies E) 20 wingless,spotted thorax flies

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Question 2: The arbiter FSM defined in Figure 1 may cause device 3 never get serviced if device 1 and 2 continuously keep raising requests, so that in the Idle state it always happens that device 1 or device 2 has an outstanding request. a. Modify the proposed FSM to ensure that device 3 will get serviced such that if it raises a request, the device 1 and 2 will be serviced only once before the device 3 is granted its request. (10%) (25%) b. Write Verilog code to perform the modified arbiter. c. By using the modified arbiter, design the following application and implement on the Zynq Board: a. Data are stored at three different files in SD card (File 1, File 2 and File 3) b. When device 1 is triggered, File 1 will be read from the SD card and data will be displayed on LEDs or PC. c. When device 2 is triggered, File 2 will be read from the SD card and data will be displayed on LEDs or PC. d. When device 3 is triggered, File 3 will be read from the SD card and data will be displayed on LEDs or PC. Note: Input pin does the triggering process (40%) d. Modify the application in (c) by using automated triggering process. Implement the modified system on the Zynq Board. (25%)

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Problem 3: Would the Newton-Raphson method converge to a similar answer? Use an initial guess of $x_0 = 8$ and note that $f'(x) = 2xcos(x^2) + 3x^2$. Answer yes or no below, and provide a brief justification for your answer. Answer (yes or no): Justification (Provide a Table with your answers):

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michael d.