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what is the general primer used in reverse transcription? oligo A (AAAA) that can go and bind to Oligo A of mRNA oligoT (TTTTT) that can go and bind to oligo A of mRNA of the specific gene we are interested to study oligonucleotide primer oligoT (TTTTT) that can go bind to oligo A of mRNA of all genes that were expressed in that tissue/organ at a given condition

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QUESTION 1 Find the standard deviation for a security that has three one-year returns of -6%, 8%, and 17% respectively. Ο 9.46% Ο 5.48% Ο 6.57% Ο 4.56% Ο 7.89%

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2 (25 pts). Let an algorithm has complexity $S(n)=S(n-1)+f(n)$, where for $k=1,2,3,...$ $f(k)=k^2+k/3$. Answer these two questions: (1) Find the closed form for $S(n)$ if $S(2)=1$. (2) Prove by mathematical induction that the closed form you found is correct.

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Over But not Over Tax is: Of amount over: $0 $50,000 15% $0 $50,000 $75,000 $7,500+25% $50,000 $75,000 $100,000 $13,750+34% $335,000 $100,000 $335,000 $22,250+39% $100,000 $335,000 $10,000,000 $113,900+34% $335,000 $10,000,000 $15,000,000 $3,400,000+35% $10,000,000 $15,000,000 $18,333,333 $5,150,000+38% $15,000,000 $18,333,333 _ $35% $ Refer to the table above: A firm has $677360.4 in taxable income. What is the firm's a. Average Tax Rate = 20.24 % b. Average Tax Rate = 35 % c. Average Tax Rate = 536.95 % d. Average Tax Rate = -481.71 %

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Early attempts (prior to specific hate crime legislation) to prevent and punish hate crimes in the federal system include all of the following except....Group of answer choicesProsecuting individuals for the underlying crimeProsecuting people for depriving others of their civil rightsEnabling the ability for individuals to sue the government employee in federal court for being deprived of their civil rightsProtecting individuals from discrimination when engaged in specific activities related to commerceAll options are examples of early federal responses to hate crimes

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Find the average value of the following function on the given interval. Draw a graph of the function and indicate the average value. \[ f(x)=\frac{1}{\sqrt{x}} \text { on }[1,9] \] The average value of the function $ f(x)=\frac{1}{\sqrt{x}} $ on $ [1,9] $ is $ \dot{f}= $ $ \square $ . (Type an exact answer, using radicals as needed.)

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QUESTION 6 (15 MARKS) (a) Fourier $F[x(\omega)] = \int_{-\infty}^{\infty} x(t)e^{-j\omega t}dt$ (Fourier) $F^{-1}[X(\omega)] = \frac{1}{2\pi}\int_{-\infty}^{\infty} X(\omega)e^{j\omega t}dt$ (inverse found) baplace $L[y(s)] = \int_{0}^{\infty} y(t)e^{-st}dt$ (Laplace) $L^{-1}[Y(s)] = \frac{1}{2\pi j}\int_{c-j\infty}^{c+j\infty} Y(s)e^{st}ds$ (inverse laplace) Given: x(t) 2 -2 -1 0 1 2 Sketch the following signals: i. x(-1) ii. x(-1+2) iii. x(-1-2) (6 marks) (b) Show mathematically the Fourier transformation and using mathematical expressions compare between Laplace and Fourier. (9 marks) QUESTION 7(15 MARKS) (a) $F(s) = \frac{1}{s+1} + G(s) = sF(s)$ find G(t) (6 marks) (b) Determine whether the following signals are periodic or not i. $x(n) = sin(\frac{10\pi n}{7})$ ii. $Sin(\pi + 0.2n)$ iii. $Cos(0.01\pi n)$ (9marks)

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If an automobile is traveling at velocity V (in feet per second), the safe radius R for a curve with superelevation θ is modeled by the following formula: R = V^2 / (g * (f + tanθ)) A roadway is being designed for automobiles traveling at 55 feet per second. If θ = 2°, g = 32.2, and f = 0.11, calculate R.

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2. Given the operators \begin{align*} \hat{a}_+ &= \frac{1}{\sqrt{2\hbar m\omega}}(-i\hat{p} + m\omega \hat{x}), \quad \hat{a}_- = \frac{1}{\sqrt{2\hbar m\omega}}(i\hat{p} + m\omega \hat{x}), \\ \text{and the Hamiltonian operator} \\ \hat{H} &= \frac{1}{2m}(\hat{p}^2 + m^2\omega^2 \hat{x}^2) \\ \text{where } \hat{p} = -i\hbar \frac{\partial}{\partial x} \text{ and } \hat{x} = x, \text{ show that for an arbitrary wavefunction } \psi(x, t) \\ (a) \quad \hat{a}_+\hat{a}_-\psi(x, t) - \hat{a}_-\hat{a}_+\psi(x, t) = \psi(x, t) \\ (b) \quad \hbar\omega \left[\hat{a}_+\hat{a}_-\psi(x, t) + \frac{1}{2}\psi(x, t)\right] = \hat{H}\psi(x, t) \end{align*} (2.5 marks) (2.5 marks)

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How many grams of water can be cooled from 32 °C to 25 °C by the evaporation of 58 g of water? (The heat of vaporization of water in this temperature range is 2.4 kJ/g. The specific heat of water is 4.18 J/g.K.) Express your answer using two significant figures.

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