Numerade

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Determine whether the equation $y = 2\sqrt[5]{x}$ defines y as a function of x. Does the equation $y = 2\sqrt[5]{x}$ define y as a function of x? A. No, because for any input x, the equation yields only one output y. B. No, because for any input x, the equation yields more than one output y. C. Yes, because any equation in terms of x and y is a function. D. Yes, because for any input x, the equation yields only one output y.

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6. Consider the curve given by the following equation: $$(2x + y)^2 + 9\ln(y) = 4e^x + 10$$ Find $\frac{dy}{dx}$ for a general point $(x, y)$ on the curve. Do not simplify your answer. $\frac{dy}{dx} =$

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over the last 60 years list two others that were developed in response to highet opportunity cost of the time?

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*** It is also strongly suggested that you complete the end of chapter questions you are given answers for in the course text, but these are not to be handed in. Your consulting firm purchased some state-of-the-art surveying equipment 4 years ago for $75,000. If you were to sell this equipment now, it would have a salvage value of $30,000, but if you keep the equipment there will be an $1,000 per year charge to upgrade the system software, and the potential salvage value decreases by $5000 each year. A brand-new version of the surveying equipment would cost $90,000, would not require any software updates for the first 2 years, then these would cost $500 each year following, with an upgrade costing 2500 in year 5. At the end of year 1, the salvage value would be 87,500, and would decrease by $3500 each following year. The company has a MARR of 10% a) Determine the economic service life of each machine. (7 points) b) If we know that the equipment is required for at least the next 10 years, can we simply say tha

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(b) If the gradient of $ A B $ is $ \frac{3}{4} $, find the coordinates of $ A $ and $ B $. Answer $ A= $ $ B= $

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Use the figure below to fill in the blanks. $\angle$1 and $\angle$ $\angle$6 and $\angle$ $\angle$3 and $\angle$ $\angle$4 and $\angle$ are supplementary angles. are vertical angles. are alternate interior angles. are corresponding angles.

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Differentiate the function and find the slope of the tangent line at the given value of the independent variable. f(x) = 4x + (7/x), x = 8 Group of answer choices (249/8) (249/64) (263/8) (263/64)

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For the ARCH(2) model: where $v_t \sim N(0, 1)$ is iid. $y_t = u_t$ $u_t = \sigma_t v_t$ $\sigma_t^2 = 0.1 + 0.5u_{t-1}^2 + 0.4u_{t-2}^2$ (a) If $u_{100} = 2$ and $u_{99} = -3$, compute the forecasts of $\sigma_{101}^2$, $\sigma_{102}^2$, $\sigma_{103}^2$ and $\sigma_{104}^2$ (3 points) (b) Derive the unconditional variance of $u_t$ (2 points)

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1. Find the moment of inertia with respect to the x-axis. $y = kx^{1/3}$

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For a three-phase induction motor, for which nameplate and test data are shown, it is desired to start it at reduced voltage using a three-phase autotransformer. If during starting the supply voltage to the motor is 80% of its nominal value, what are the line and motor currents and kVA during starting? Nameplate data: 100 HP, 1160 r/min, 60 Hz, 3117 A, 460 V Impedances (R=0.08; X=0.195; R=0.065; X=0.16; Xm=6.7) Test data: SR (r/min) ILA (A) Pn (kW) 1200 1145 1152 1166 1175 1183 1190 38.7 176 156 117 91 69 51 3.7 128 114 83.6 62.7 44.0 25.6 empty load

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chad y.