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17. Find the average value of $f(x, y) = y$ over the rectangle with vertices $(0, 0)$, $(2, 0)$, $(2, 3)$, and $(0, 3)$. a. $\frac{1}{2}$ b. $\frac{2}{3}$ c. $\frac{4}{3}$ d. $\frac{3}{2}$ e. None of these

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INQUIZITIVE Chapter 1: An Invitation to Social Psychology Page(s) 5-6 1.1. Characterizing Social Psychology Which of the following is correct about social psychology research? Click or tap a choice to answer the question. Research in social psychology reveals that some of our most strongly held folk theories are incorrect. Research in social psychology is always intuitive. Research in social psychology rarely applies to real life situations. Research in social psychology usually focuses on the study of one individual.

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Problem 1: Write a GUI calculator program. You can either use the code provided to you above or your own. You need to use the widget Entry and its methods insert and delete. You can read about the widget Entry here: TkDocs Tutorial - Basic Widgets (Links to an external site).

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The magnification obtained using a convex mirror of focal length f = -12 cm is M = 0.5. The object distance and image distance are respectively: p = -12 cm and q = -6 cm p = -6 cm and q = +12 cm p = +12 cm and q = -6 cm p = +6 cm and q = +12 cm A light ray is incident normally on Face-1 of the prism shown in the figure below. The refractive index surrounding are $n_1$ = 1.5 and $n_2$ = 1, respectively. On face-2, which of the following

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Obtain the transfer functions X1(s)/U(s) and X2(s)/U(s) of the mechanical system shown. If all the parameters have a value of 1, what will be X2(s)/U(s).

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Consider the following nonlinear system: $\dot{\rho} = \sin \theta$ $\dot{\theta} = -(\rho - \rho_0) - \sin \theta$. (3) 1. Linearize the equations around $\rho = \rho_0$ and $\theta = 0$. Show that the system is asymptotically stable. 2. Consider the following Lyapunov candidate function $V = \frac{1}{2}(\rho - \rho_0)^2 + 2 \sin^2(\frac{\theta}{2})$. Show that the time derivative $\dot{V} \le 0$.

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A dietitian in a hospital is to arrange a special diet using two foods. Each ounce of food M contains 40 units of calcium, 10 units of iron, and 10 units of vitamin A. Each ounce of food N contains 10 units of calcium, 10 units of iron, and 40 units of vitamin A. The minimum requirements in the diet are 560 units of calcium, 200 units of iron, and 380 units of vitamin A. If x is the number of ounces of food M used and y is the number of ounces of food N used, write a system of linear inequalities that reflects the conditions indicated. Find the set of feasible solutions graphically for the amounts of each kind of food that can be used. Write an inequality for the constraint on calcium. ?560 (Do not factor.) Write an inequality for the constraint on iron. ?200 (Do not factor.) Write an inequality for the constraint on vitamin A. ?380 (Do not factor.) Which of the following inequalities are also needed, if any? A. x?0 and y ?0 B. x?y C. x?0 and y?0 D. No additional inequalities are needed. Use the graphing tool to graph the system of inequalities. Graph the region that represents the correct solution only once.

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Kennesaw State University Problem 4. Conceptual questions (15 pts) EE 3605 Spring 2019 (a) Using equations and a few sentences, explain how the Divergence theorem is used in Gauss's law. (b) Under what circumstances is Gauss's law useful? (c) How should one choose a Gaussian surface? $\int \nabla \cdot \mathbf{E} \, dV = \oint_S \mathbf{E} \cdot d\mathbf{s}$

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???? Ki M4 22 f kz Erm C2 ?23 MA 3 k3 M m CI 2 Frictions Figure 3. A Translational mechanical system [20 pts.] For the mechanical system shown in Figure 3 a) Obtain the equations of motion (EOM), b) Give a state-space model of this system using the EoM c) Give a graphical representation of those equation using the causal (proper) block diagrams

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Question 13 1pts Consider $b_2$, the estimator for $\beta_2$, in the model $y_i = \beta_1 + \beta_2x_i + \beta_3z_i + u_i$. In which of the following situations is $b_2$ the most accurate estimator for $\beta_2$? Var[u] is small and Cov[x,z] is close to zero. Var[u] is small and Cov[x,z] is far from zero. Var[u] is large and Cov[x,z] is far from zero. Var[u] is large and Cov[x,z] is close to zero.

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mary c.