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Evaluate the vector-valued function at each given value of t.\\ $r(t) = \frac{1}{2}t^2\mathbf{i} - (t - 4)\mathbf{j}$\\ (a) $r(4) = 0$\\ (b) $r(0) = 4\mathbf{j}$\\ (c) $r(s + 4) =$\\ (d) $r(2 + \Delta t) - r(2) = $

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A _____ disorder is a psychological condition that features a chronic style of thinking, behavior, and emotions that severely lowers the quality of a person's relationships. It often creates conflict with others and, in the long run, harm to the person with the disorder.

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Marketing systems Alderson 1956, 1965, Boddewyn 1969, Fisk 1967, Dixon 1967 What is a marketing system? Why does it exist? How do marketing systems work? Who performs marketing work? Micro: Firms and households Macro: Channels of Interrelationships between parts and whole Unity of thought Marketing systems Micro and macro marketing Societal Impact Consumer behavior Dichter 1947, Katona 1953, Engel et al. 1968, Kassarjian and Robertson 1968, Howard and Sheth 1969, Holloway et al. 1971, Cohen 1972 Where and when is it performed? Why do customers buy? How do people think, feel, act? How can customers/ people be persuaded? distribution Aggregate marketing systems Micro: Business buying Consumer buying Individual or household consumption Subconscious motivation Rational & emotional motives Needs and wants Learning Personality Attitude formation and change Hierarchy of effects Information processing Symbolism and signs Opinion leadership Social clea

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Q7. Mr. Higgins' grade distribution over the past year for students taking MT143 is as follows: Find the empirical probability that the next student taking his course receives a grade of: Grade A B C D F # of Students 9 12 31 6 2 (a) an A (b) a C or better (c) not a B

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All else constant which one of the following were result in the lowest present value of a lump sum

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May 05, 4:46:06 PM Watch help video What is the slope of the line that passes through the points (4,1) and (0,-19) ? Write your answer in simplest form.

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Decide if the following are linear transformations. If they are calculate where the \(\vec{e_i}\)'s map. If not show that they fail one of the requirements of linearity.\ a) \(T(\vec{x}) = \begin{bmatrix} x_2\\x_1\\x_3 \end{bmatrix}\)\nb) \(T(\vec{x}) = \begin{bmatrix} x_1\\x_2+1 \end{bmatrix}\)

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Monopolistic Competition Model Suppose the U.S. economy starts out in the "long-run equilibrium with trade". Now, because of the pandemic, the costs of production have risen. For simplicity, suppose that only marginal costs have risen (uniformly). Fixed costs have not changed. a. Illustrate the shift up in the MC curve. Does any other curve shift? (assume none of the demand curves shift). b. Show what happens in the short-run to the quantity produced and the price it is sold at. c. Is the firm in b. making profits? Explain. d. a-c above characterizes the "new short-run equilibrium with trade". What happens in the long-run? i. In particular, based on your answer to c. above, what happens to the number of firms in the industry? ii. As the number of firms changes, what happens to the demand curves that the firm faces (the demand curve when it changes its own price, and the demand curve when all firms change their prices together)? Illustrate this shift in the demand curves. iii. How do the firm's output and price in the "new long-run equilibrium with trade" compare to the original long-run equilibrium with trade? If it is ambiguous, explain.

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38. ..Calc A rectangular loop of wire with a length a and width b lies in the x-y plane, as shown in Figure 20-41. Within the loop, there is a time-dependent and spatial-dependent magnetic field given by \( \vec{B}(t) = B_0[x \cos \omega t \hat{x} + y \sin \omega t \hat{z}] \) SI units Figure 20-41 Problem 38 (a) Derive an expression for the induced potential in the loop as a function of time. (b) Calculate the numerical value of the induced potential at \( t = 2.0 \) s, if \( a = 20 \) cm, \( b = 10 \) cm, and \( B_0 = 0.575 \) T/m.

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1) Write a script that plots the function $x(t) = u(t) + 2(t - 3)u(t - 3)$ over the time range 0 to 6 seconds. Do not use Matlab's built-in function stepfun. Label axes. 2) Assuming the diode in the circuit below is ideal, plot the voltage $v(t)$ over the range -1 to 5 seconds. Label axes. + + 25sin(2$\pi$1.5$t$) v(t) 3) Write a function with the first line: function [v,t] = expsine(A,Tau,T,Phi) that calculates and plots the decaying exponential signal, $v(t) = Ae^{-t/\tau}cos(\frac{2\pi}{T}t + \phi)$ where Tau = $\tau$ is the decay time constant, T is the period of oscillation, and Phi = $\phi$ is the phase shift. The time vector, t should have 200 points and should range from 0 to 4 time constants. The axes should be labeled. Write a script that calls the function using the parameters A = 4, Tau = 12, T = 2, and Phi = $\frac{\pi}{4}$.

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