Numerade

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Consider steady convection of a variable \phi in the one dimensional domain shown in Fig 3. At the x=0 boundary a mass flux m_(0)^(**)k(g)/(m^(2))s enters the domain with a value \phi =\phi _(0). Diffusion may be ignored. Consider the case when there is a volumetric mass source m_(s)^(˙)k(g)/(m^(3))s in the domain, with a value \phi =\phi _(s). (i) Derive the discrete equations for points 1,2 and 3 using the first -order upwind difference scheme on the mesh shown in Fig 3. Control volume faces are denoted by f0,f1,f2 and f 3 . Comment on the discrete equations in terms of the boundedness of the solution the satisfaction of the Scarborough condition. (ii) Compute the numerical value of \phi at the points 1,2 and 3. For the purposes of computation, you may take following data: m_(0)^(**)=10k(g)/(m^(2))s,\phi _(0)=1.0,\Delta x=1.0, m_(s)^(˙)=1.0k(g)/(m^(2))s and \phi _(s)=0.5. Fig 3.

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You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 6.75% interest. a) How big of a loan can you afford? $ b) How much total money will you pay the loan company? $ c) How much of that money is interest? $

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Which of the following places the patient at risk for atelectasis? Shallow Breathing Deep breathing Sedation Immobility Rib Fractures Abdominal surgery Ambulation

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One reason that the quantity demanded of a good increases when its price falls is that the Multiple Choice price decline shifts the supply curve to the left. lower price shifts the demand curve to the left. lower price shifts the demand curve to the right. lower price increases the real incomes of buyers, enabling them to buy more.

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17. [3 points] What wavelength of light must be absorbed by the electron in the ground state of a hydrogen atom to ionize the atom? n=? : 0 eV n=7 -0.278 eV n = 6 -0.378 eV n = 5 -0.544 eV n = 4 -0.850 eV n=3 -1.51 eV n = 2 -3.40 eV n = 1 -13.6 eV Page 6 of 6

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Question 5 of 29 Murazik Corporation has a 12/31 year-end. On July 1, 2021, Murazik purchases a new machine for $128,800. Murazik estimates the machine will have a salvage value of $12,800 and a useful life of 5 years. The following depreciation schedule has been produced by Murazik's corporate accounting department: Useful Accumulated Depreciable Life Fraction Year Annual Depreciation Depreciation Base (in of Year (End of Expense Years) Period) 2021 $116,000 4 1/2 $14,500 $14,500 2022 $116,000 4 1 $29,000 $43,500 2023 $116,000 4 1 $29,000 $72,500 2024 $116,000 4 1 $29,000 $101,500 2025 $116,000 4 1/2 $14,500 $116,000 What will be the net book value of the machine on Murazik's Balance Sheet at the end of 2023? $

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(a) Sketch the graphs of the functions $y = \sin^2(x)$ and $y = \sin^2(3x)$ for $0 \le x \le 2\pi$, respectively. (Use an online graphing calculator to help you.) On each graph, shade the area which the function encloses with the $x$-axis on that interval. (b) Using two separate integrals, compute the shaded areas from (a). How do the two areas compare? Show your work, as always. (These will both be trig integrals.)

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Question 5 For the COP of a heat pump (choose ALL correct answers): Desired output = heat supplied from cold space None of these are correct Required input = heat removed from cold space Required input = work input Desired output = heat supplied to warm space 2

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Evaluate the triple integral.\\ $\iiint_E 4xy\,dV$, where E is bounded by the parabolic cylinders $y = x^2$ and $x = y^2$ and the planes $z = 0$ and $z = 5x + y$

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The solution set of the inequality $|2x - 1| < 1$ Type your answer as an interval(s) using brackets (,), [, ] and $\cup$, $\cap$ as appropriate. Copy and paste in the answer box the infinity symbol $\infty$ if you need it. Do not put any spaces between symbols, e.g., type ($-\infty$, -7] $\cap$ [1, $\infty$), (-3, 9) or (-1, 2].

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pedro d.