Numerade

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In a study of frost penetration it was found that the temperature T at time t (measured in days) at a depth x (measured in feet) can be modeled by the function T(x,t)=T_(0) T_(1)e^(-\lambda x)sin(\omega t-\lambda x) where \omega and \lambda are positive constants and T_(0) and T_(1) are constants. Show that the function T(x,t) satisfies the heat equation T_(t)=KT_(\times ) for a certain constant k and determine what k is in terms of the constants \omega ,\lambda ,T_(0) and T_(1)

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For the following scenarios, predict their volume/osmolarity/ionic situation. Then predict whether the elements listed would be released and/or increased in order to fix the situation. For example, if you predict that only osmolarity increases, which of the following would be released, not released, inhibited, increased, or decreased? Please include each of these elements in your answer (e.g. ADH will be released, THIRST will be increased, ALDO would be inhibited, ANP, GFR, RENIN would not be released). DO NOT INCLUDE MECHANISMS IN YOUR ANSWER; SIMPLY STATE WHICH ELEMENTS WOULD BE REQUIRED TO ADDRESS THE SITUATION HERE ARE YOUR CHOICES ADH ALDOSTERONE ANP GFR RENIN THIRST You lose a gallon of blood You consume a gallon of Gatorade You consume a gallon of pure water

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Which of the following metabolic conversions is considered the major control point of glycolysis? 2-phosphoglyerate $\rightarrow$ phosphoenolpyruvate phosphoenolpyruvate $\rightarrow$ pyruvate fructose-1,6-bisphosphate $\rightarrow$ dihydroxyacetone phosphate + glyceraldehyde- 3-phosphate fructose-6-phosphate $\rightarrow$ fructose-1,6-bisphosphate glucose $\rightarrow$ glucose-6-phosphate

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What does the TIPS market help us measure? market based levels of expected inflation credit risk of the US government foreign exchange risk default probabilities

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Question6. 10 points d) A vibrating string that is fixed at both ends has a standing wave in it such that there are three nodes equally spaced between the end points. 5 nodes total. If the string is 75 cm long, what is the wavelength of the standing wave? Start by drawing the system. Clearly show how you arrived at your solution.

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What is surgical conscience, and how does aseptic technique relate to surgical conscience?

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33. Could I use a symmetric confidence interval to solve this problem and if so what is it? 34. a. Find the 30th percentile for the standard normal distribution b. Find the 30th percentile for a normal distribution with mean 10 and std. dev. 1.5

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2.4 The temperature (in degrees Celcious) at a point $(x, y, z)$ in 3-dimensional space is given by $T(x, y, z) = x^2 - y^2 + z^2 + xz^2$. A fly passes the point $(1,1,2)$ flies in the direction in which the temperature drops most rapidly. (a) Find at which direction it is flying at that point and determine the rate of change of temperature in that direction? (b) What is the rate of change of $T$ in the direction of $i + j + k$ at $(1,1,2)$? (3) (2)

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Find the general solution for the differential equation.\\ $\frac{dy}{dx} = 5x^4y - 4x^3y$ A) $y = -\sqrt{x^5 - x^4}$ \\ B) $y = e^{(x^5 - x^4)}$ \\ C) $y = -\sqrt{\frac{1}{x^5 - x^4}}$ \\ D) $y = Me^{(x^5 - x^4)}$

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3. Say B = $$\begin{pmatrix} 3 & 1 \\ 6 & 2 \end{pmatrix}$$, and S: M2x2(R) → M2x2(R) is defined by S(A) := BABT a) Compute S(A) when A = $$\begin{pmatrix} 1 & -3 \\ 2 & 5 \end{pmatrix}$$. b) Show that S is a linear transformation. c) Use the basis E = {E1, E2, E3, E4} = $$\left\{ \begin{pmatrix} 1 & 0 \\ 0 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 0 \\ 1 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 0 \\ 0 & 1 \end{pmatrix} \right\}$$ to compute E[S]E. d) Use E[S]E to compute [S(A)]E, where A is the matrix from part a). e) Find bases for ker(S) and S(M2x2(R)). (Note: The bases should contain 2x2 matrices.)

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alexander h.