. a. Compute f_x \enspace and \enspace f_y Consider the function f : R^2 \rightarrow R , given by f(x,y) = \left\{\begin{matrix} \frac{xy}{\sqrt{x^2+y^2 & (x,y) \neq (0,0) \...
Answer to: Consider the function f and its graph given below. Find a. lim_x rightarrow -3^- f(x) b. lim_x rightarrow -3^+ f(x) c. lim_x...
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The reliability is a function of the random intercept variance σ2u0, the within variance (Eq. (4)), and the sample size ni (i.e., number of publications of a researcher i). The higher the random intercept variance, the lower the within variance, and the higher the sample size, the...
The problems are inspired by a waste collection problem in which large waste containers are scattered throughout the municipality, and the residents bring their waste to these containers. We take the residents’ preferences into account when allocating them to locations. When a container is full, ...
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Consider a game represented by the following payoff matrix. Find all pure strategy nash equilibria. LCR U -10,0 -10,-1 -10,-1 M -8,-8 0,-10 2,-1 D 4,5 7,-10 1,1 Best Response: Game theory is a tool us...
The maximum displacement of a particle when a wave passes through is called the amplitude of the wave. Wave functions are generally represented by the sinusoidal harmonic function. The maximum displacement in one complete time period is equal to the magnitude of the coefficient of th...
A systematic search for studies measuring teachers' readiness for OTL suggested that most studies represented the construct by multiple factors (e.g., Chou & Chou, 2021; Hung, 2016; Scherer et al., 2022): (a) Knowledge, skills, and competence; (b) instructional practices; and (c) the ...
Thus, an increasing Marginal Utility is given as: {eq}\frac{\partial U}{\partial x} > 0 {/eq} Answer and Explanation: To clearly prove that the Marginal Utility is increasing, we need to be given the explicit utility function. In this quest...