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2. Find interior extreme of \( f(x, y)=5-x-y \), with \( g(x, y)=x^{2}+y^{2}=1 \)

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Biodiversity is just the number of species in an area or volume of habitat. True False

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Which of the following is not one of the four technology-based difficulties that slowed technology convergence of books with the Internet? lack of cross-platform standards bandwidth lack of reader devices screen resolution

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The data set represents wait times (in minutes) for various services at a state's Department of Motor Vehicles locations. Which wait times are between the 25th and 75th percentiles? 4 19 3 19 26 5 4 7 6 10 9 10 20 18 3 20 10 13 14 11 14 4 27 4 8 3 26 18 21 1 3 5 5 6 10 22 23 10 6 7 2 1 6 6 2 14 15 16 Wait times between minutes and minutes are between the 25th and 75th percentiles.

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Refer to QUESTION 1. Suppose that the experiment was conducted and the data in the table below was obtained. Laboratory Method 1 = A 2 = B True mean 1 = I 32,40,42,26 35,29,45,22 $\mu_{1}$. 2 = II 30,39,42,23 36,27,41,21 $\mu_{2}$. True mean $\mu_{.1}$ $\mu_{.2}$ $\mu$ (a) Construct an ANOVA table of the data. Show all your calculations. (17) (b) Is there evidence that the means of the elasticity of plastic prepared by the two methods are significantly different? Use the 0.05 level of significance. (6)

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Q-2 The voltage across a 40 ? inductive reactance is given. What is the sinusoidal expression for the current? Sketch the $v$ and $i$ sinusoidal waveforms on the same set of axes. a. 120 sin ?t b. 30 sin(?t + 20°) c. 6 cos(?t + 10°) d. ?12 sin(?t + 40°)

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Calculate the molar mass of a gas at 338. torr and 76.0 $^\circ$C if 206. ng occupies 0.206 µL. Be sure your answer has the correct number of significant figures.

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Link AB rotates CCW from the position shown below to horizontal (0 degree) with $\omega_2 = 12$ rad/s and $\alpha_2 = 5$ rad/s². Draw the mechanism for the second condition. Find $I_{23,13}$ and $I_{34,13}$. Find $I_{CS}$, $\omega_3$, and $\omega_4$, for the second condition, using analytical method and IC method. $\theta_{22} = 32.56$ degree $\theta_{32} = -13.8$ degree $\theta_{42} = 132.1$ degree To find $I_{23,13}$ and $I_{34,13}$ for the second case, use the sine theory. $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$

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Problem # 2 12.33 As shown in Fig. P12,33, moist air at 30°C, 2 bar, and 50% relative humidity enters a heat exchanger operating at steady state with a mass flow rate of 600 kg/h and is cooled at constant pressure to 20°C. Ignoring kinetic and potential energy effects, determine the rate of heat transfer from the moist air stream, in kJ/h.

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Design a program to calculate sales commission using functions. In this program, the main function first calls a function called "GetData", which gets the user's input about the sale amount and returns it to the main function. This function should also perform input validation to ensure that the user's input is positive. Then, the main function calls the second function called "CalculateCommission", which takes the sale amount as a parameter, calculates the sales commission as 5% of the sale amount, and returns the result to the main function. Finally, the main function calls the third function called "ShowResult" to display the sales commission.

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