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patrick vega

patrick v.

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Find the average value of the function f(x,y,z)=ye^(-xy) over the rectangular prism 0<=x<=2,0<=y<=5,0<=z<=5

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A student dissolves 14.g of glucose C6H12O6 in 225.mL of a solvent with a density of 0.94/gmL . The student notices that the volume of the solvent does not change when the glucose dissolves in it. Calculate the molarity and molality of the student's solution. Round both of your answers to 2 significant digits. molarity = molality

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please don't provide other website answers 136. What is the role of the fuel pump in automotive electrical systems?

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For n in N with n >= 4, n! > 2n.

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A worker has to provide care for his relative. He hires a professional nurse to provide Zmkt units of care at the wage rate of $40 per unit. He also looks after the relative himself, but his time is half as efficient as that of the professional nurse in producing a unit of care. His preferences are described by U(Zmkt,Zhome) = ZmktZhome. If YN = $100, T = 16, and w = $50, how many hours of professional help will he get? SOLUTION: PLZ fill in blanks. The marginal rate of substitution between professional help and caring after the loved one himself is MRS(Zmkt,Zhome) =(). At the interior solution MRS(Zmkt,Zhome) = wd/pmkt = (). So Zhome =(). Budget constraint is (). Solving the system of equations we get that Zmkt =().

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1. Find the derivative of the function. (a) $f(x) = e^x + \frac{1}{x^4}$ (b) $g(x) = (x^3 + 7)^{99}$ (c) $h(x) = \sqrt{1 + \sqrt{1 + x}}$ (d) $k(t) = e^{te^t}$

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Find $\frac{\partial^2 z}{\partial y^2}$ and $\frac{\partial^2 z}{\partial x^2}$ if $z = xe^{xy}$.

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2. Obstructions lie between points E and F as shown. Distances EG, GK, FG, and GH are measured and marked off. Distance HK is measured. Distance EF =

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Write 2 programs that will use shelf files as described below, to analyze heat loss in a test oven • Program A will input temperature sensor readings to create a list, and this list will be stored in a shelf file. • Program B will read the temperature sensor data shelf file stored by program A. Program B will then calculate and display the convective heat loss for each sensor temperature reading. Convective Heat Loss = \((T_{sensor} - T_{amb}) \times h \times A\) Convective heat transfer coefficient, h (W/m²°C) Last digit of your student ID 1, 2 4,7,8 0,6 3,5,9 Oven wall area, A (m²) Ambient Temperature Tamb (°C) 27 4.5 4.8 5 4.1 6 8 3 12 32 30 28 Temperature Sensor Readings T1 (°C) 58.3 48.2 61.3 42.7 T2 (°C) 65.4 50.1 63.4 43.2 T3 (°C) 64.1 47.6 60.2 45.1 T4 (°C) 59.5 48.8 65.1 44.5 Submission should include the following: 1) program.py files 2) a screenshot, snip, or similar of each program 3) a screenshot, snip, or similar of the output. 2) and 3) may be combined into one file, your option

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1. A pipe conveying water at a rate of 0.4 m³/s undergoes a change in diameter from 300 mm at A to 200 mm diameter at B. If the pressure at A is 200 kPa, determine the pressure at B, given that B is 5m above A. [6 marks] 2. The diameter of a circular pipe changes from 100 mm to 200 mm by means of a diffuser. For an incompressible flow and constant flow rate, determine the velocity in the larger pipe given that the velocity in the smaller pipe is 3 m/s. [4 marks]

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