Numerade

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After PCR amplification of total community DNA using a specific primer set, why is it necessary to either clone, or run DGGE on the products before sequencing them?

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In Gene A, exon 1 is located between nucleotide 200-300, while intron 1 is located between bases 301-642. Which sequence changes are more likely to be deleterious to the protein (think about splicing)? Discuss your answer. **The G at position 452 mutates to a T **The G at position 301 mutates to a T

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one milliliter of water is broke into droplets with radius of 10^-5 cm. the surcafe tension of water is 72.75x10^3 N/m, what is teh gibbs free energy of the fine droplets relative to water

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8 Removal of the gallbladder may cause difficulty in digesting _____ a) water b) sugars c) fats d) proteins

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Write the function $g(x) = x^3 - 12x^2 + 52x - 80$ as the product of linear factors given that $4 + 2i$ is a zero of the function.\ g(x) = \ Find all the zeros of the function. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities. Include the given zero in your answer.)\ x =

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4. (14 pt) The Prandtl boundary layer approximation reduces the Navier-Stokes equations as follows: $\begin{cases} \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0\\ \\ u\frac{\partial u}{\partial x} + v\frac{\partial u}{\partial y} = -\frac{1}{\rho}\frac{\partial p}{\partial x} + \nu \left(\frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2}\right)\\ \\ u\frac{\partial v}{\partial x} + v\frac{\partial v}{\partial y} = -\frac{1}{\rho}\frac{\partial p}{\partial y} + \nu \left(\frac{\partial^2 v}{\partial x^2} + \frac{\partial^2 v}{\partial y^2}\right) \end{cases} \rightarrow \begin{cases} \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0\\ \\ u\frac{\partial u}{\partial x} + v\frac{\partial u}{\partial y} = -\frac{1}{\rho}\frac{\partial p}{\partial x} + \nu \left(\frac{\partial^2 u}{\partial y^2}\right) \end{cases}$ (a) Through the scaling analysis performed by Prandtl, show how $\nu \frac{\partial^2 u}{\partial x^2}$ is eliminated in the x-momentum equation. (b) What is the significance of $\frac{\partial p}{\partial y}$ in this analysis? Support your answer through scaling analysis. This question has been discussed in Makeup sessions 12 and 13.

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Define subsets of the plane by $T_0 = \{(x, y) : x = 0 \text{ and } y \in [-1, 1] \}$ $T_+ = \{(x, y) : x \in (0, 2\pi] \text{ and } y = \sin(1/x) \}$ Let $T = T_0 \cup T_+$ and give it the subspace topology of Euclidean $\mathbb{R}^2$. The space $T$ is called the topologist's sine curve. (1) Show that $T$ is connected. [3 points] (2) Show that $T$ is not path-connected and determine its path components. [3 points]

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Assume that we have the regression model $Y = f(X) + \epsilon$ where $\epsilon$ is independent of X and E[$\epsilon$] = 0, E[$\epsilon^2$] = $\sigma^2$. 1. (2 pt) Show that $f(X) = E[Y \mid X]$.

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Round Hammer is comparing two different capital structures: An all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 185,000 shares of stock outstanding. Under Plan II, there would be 135,000 shares of stock outstanding and $2.7 million in debt outstanding. The interest rate on the debt is 5 percent, and there are no taxes. a. If EBIT is $375,000, what is the EPS for each plan? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) b. If EBIT is $625,000, what is the EPS for each plan? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) c. What is the break-even EBIT? (Do not round intermediate calculations. Enter your answer in dollars, not millions of dollars, e.g., 1,234,567.) a. Plan I EPS Plan II EPS b. Plan I EPS Plan II EPS c. Break-even EBIT

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While the polar axis is described by both Î¸ and Ï†. The latitude and longitude angles of the observer are given by Î¸ and Ï† respectively. The local topographic frame T{ef} is centered at the observer. Note that Î¸ is the local east direction, Ï† is the local north, and Î¸ is the local up direction. Hint: Î¸ = cos(Ï†) + sin(Î¸). a) What is the inertial position, velocity, and acceleration of a stationary observer? Express your answer in the topographic frame T using the transport theorem. b) When launching a vehicle into orbit, one typically tries to make use of Earth's rotation when choosing a launch site. From what place on Earth would it be the simplest (i.e., require the least additional energy to be added) to launch vehicles into space, and how much initial eastward velocity (as seen in an Earth-fixed frame) would a vehicle have there because of Earth's rotation? c) If an observer has boarded a high-speed train and is traveling due north at a constant 450 km/h as seen in an Earth-fixed reference frame, what is the inertial velocity and acceleration at this condition? Equatorial plane Figure 1: Coordinate frame illustrations.

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robert h.