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9. What long-term effects can gene flow have on any two populations that are exchanging genes?

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Consider two electronic components that operate independently, each with life governed by the exponential distribution with mean 1. Therefore, f(Y1,Y2) =e^-(y1,y2), 0 y1>0>y2>0, Use any method to obtain the density function for the average life length of the two components, or u=1/2(y1+y2)

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Q04. Three persons Andy, Bruce and Charles, as per their agreement, are to share their four-days tour expenses such that Andy's share is four- fifth of Bruce's share and Charles's share is 40% more than Bruce's share. On the first day, Andy pays the bill which amounts to $800. The second day's bill accounting to $600 was cleared by Bruce, while Charles clears the last two day's bill of $1000. During the final settlement of their expenses, how much amount does Charles need to pay to Andy? Ops: A. $50 B. $100 C. $75 D. $150 Q05. A delivery truck covers a distance of 270 km at two different speeds. The first 120 km is covered in 60 kmph and the rest is covered in 75 kmph. What is the average speed of the truck (in kmph)? Ops: A. 60.6 kmph B.70.2 kmph C. 67.5 kmph D. 64.5 kmph X Q 06. In a company Rely United Pvt. Ltd., 25% of total women are more than 29 years old and 80% of the total women are less than or equal to 60 years old. 30% of all women play volleyball. If 10% of the women below or equal to 29 years play volleyball, what percentage of the volleyball players are less than or equal to 29 years? Ops: A.0.1667 B. 0.1735 C. 0.25 D. 0.2824

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All of the following are factors affecting the gastric retention of the dosage form except: a. The drug solubility b. Patient age and sex c. Dosage form shape and size d. Food intake and meal type

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3. An ecology graduate student goes to a pond and captures 40 water beetles, marks each with a dot of paint, and then releases them. A few days later she goes back and captures another sample of 60, finding 12 marked beetles and 48 unmarked. (a) Assuming that the pond contains n beetles, determine the probability L(n) that a catch of 60 beetles will contain 12 marked ones.

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Economic events such as inflation, recession, and high interest rates may impact investment decisions for the investor and the investee - why?

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if web contributes $6,000 per year for 15 years, what will his/her IRA account balance equal 15 years from today? Assume the account earns 8 % interest, the first of the 15 contributions is made one year from today, and the last of the 15 contributions is made 15 years from today.

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Consider the regular perturbation problem $\dot{x} = -2x - 8t + \epsilon x^2$, $x(0) = -4$, $\epsilon \ll 1$. This is a Ricatti equation and an exact solution to the problem can be found only in terms of Airy functions, which go beyond the topic of this class. Use regular perturbation to approximate the solution up to first order: $\phi(t) \approx \phi_0(t) + \epsilon \phi_1(t)$. Remember that for the linear nonhomogeneous first-order differential equation $\dot{x} = f(t)x + g(t)$, $x(0) = x_0$ the solution can be calculate by the formula $x(t) = x_0 e^{\int_0^t f(s)ds} + \int_0^t e^{\int_s^t f(r)dr} g(s)ds$ Use computer algebra system (Mathematica) to calculate integrals. $\phi_0(t) = -6 e^{(-2t)} -4t+2$ $\phi_1(t) = 1/6(16t^3 - 18t^2 -72e^{(-2t)}t +6t -9e^{(-2t)} -27e^{-4t} -1)$

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Given: $\mathcal{E}_1 = 24V$\n$\mathcal{E}_2 = 12V$\n$R_1 = 5\Omega$\n$R_2 = R_3 = 30\Omega$\nFind $i_1, i_2$ and $i_3$ There are three loops in the diagram given above: Loop 1, loop 2 and loop 3. Using Kirchhoff's second loop rule, we have

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5. A surveying team has been tasked to evaluate the potential of a site for hydropower generation. From the site survey, it is reported that the available head and available flow rate are 200 m and 25 m³/s, respectively. (a) Recommend the most suitable hydropower turbine for this site. Support your recommendation with justification. (2 marks) (b) Determine the draft tube diameter such that the dynamic head is 12 m. (5 marks) (c) A turbine runs at 450 rpm has been acquired for this scheme. The runner in the turbine has outlet diameter and area which are equal to those of the draft tube. Determine the blade height and blade angle at the outlet. (7 marks) (d) The inlet radius is 1.8 times larger than the outlet radius while the blade height is constant. Determine the blade angle at the inlet. (6 marks) (e) Determine the angle of the guide vanes if they are placed at a radius 2 times the size of runner outlet radius. (5 marks)

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