Numerade

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Consider the linear DE d2ydx2+p(x)dydx+q(x)y=g(x) defined for x in an interval I. Select all that apply. The DE is homogeneous if g(x)=0 for all x on I. The DE is homogeneous if q(x)=0 for all x on I. The DE is non-homogeneous if p(x)≠0 for all x on I. The particular solution yp of the DE satisfies d2ydx2+p(x)dydx+q(x)y=0 . The complementary function yc of the DE satisfies d2ydx2+p(x)dydx+q(x)y=

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(3n^(-1)-3m^(-1))/(m n^(3)) (3n^(-1)-3m^(-1))/(m n^(3))= ◻ (Simplify your answer.) $$\frac{3n^{-1}-3m^{-1}}{m+n^3}$$ $$\frac{3n^{-1}-3m^{-1}}{m+n^3} = \boxed{\phantom{}} \text{(Simplify your answer.)}$$

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Given that the customer file references a file object, and the file was opened using the 'w' mode specifier, how would you write the string 'John Dutton' to the file?

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C= 5Q-Q^2/2, P1= 160-Q1, P2= 60-Q2/2. In case of monoply market, what are the quantity and the price for each? Are results different for competitive market?

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Problem 1. Consider a multimarket model. There are 2 goods, 1 and 2. The price of one good influences the price of another good. The supply of one good is independent of other goods. Specifically: Demand $D_1 = a_0 + a_1P_1 + a_2P_2$ $D_2 = a_0 + a_1P_1 + a_2P_2$ Supply $S_1 = b_0 + b_1P_1 + b_2P_2$ $S_2 = \beta_0 + \beta_1P_1 + \beta_2P_2$ Equilibrium: $S_1 = D_1$ $S_2 = D_2$ a. Express this system as a 2 x 2 matrix system in prices. State the dimension of each matrix. (2pts) b. Compute the determinant of the coefficient matrix. Don't use MatLab. Show your work. Are any of these equations redundant? Explain. (2pts) c. Find the inverse of the coefficient matrix by Gaussian elimination or the general approach discussed in class. Do not use MatLab. Show your work. (2pts) d. Use the inverse to find the equilibrium prices. $P_1^*, P_2^*.$

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Diffusive Fluxes and Concentration Changes Consider the concentration profile C(x) = Coe^(-ax) along the positive x-axis (0 ≤ x < ∞), where Co and a are constant positive parameters. (a) Calculate the size and direction of the diffusive flux as a function of x produced by the constant diffusivity D. (b) Calculate the corresponding in situ concentration change, -C/-t, due to diffusion. Numbers: Co = 1 mmol L^(-1) a = 0.02 m^(-1) D = 1 × 10^(-9) m^2 s^(-1) Evaluate flux F and concentration change, -C/-t, at x = 0, 10 m, 100 m, 1 km.

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Long-run market supply curves are downward sloping if Select one: A. firms are identical. B. the number of firms is restricted in the long run. C. input prices fall as the industry expands. D. All of these.

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Which of the following is true related to issuing an auditor’s report in accordance with a set of standards other than generally accepted auditing standards (SASs) per SAS No. 134? a. It is disallowed. b. Ensure the audit was conducted in accordance with both sets of standards in their entirety. c. Ensure the standards are of the same origin. d. Comply only with one set of standards at a time.

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For the given function f (x) = x^2 + 4x - 2, find the interval where f (x) is decreasing? (- ?, - 2) (- ?, - 2] (- ?, - 2) ? (- 2, + ?) (- 2, + ?)

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Question 1: [20 Marks] One hundred kilo-moles of methanol and water solution containing 94 mole % methanol is batch distilled to produce a distillate containing 80 mole % methanol. The still pot acts as an equilibrium stage and has a column with two equilibrium stages. The external reflux ratio is varied continuously such as to maintain required distillate concentration. The final still pot contains 5 mole % methanol. What are the values of reflux ratio at the start and finish of the batch? Also estimate the amount of total distillate produced. 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

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vincent s.