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The theory of consumer choice is to demand as the theory of public goods is to supply. oligopoly is to supply. the competitive firm is to supply.

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Marjuana is a Schedule IV controlled substance? True False Marijuana is a Schedule IV controlled substance? True False

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(a) Find the solution to the following indefinite integral.\\ $\int \left[ 3x^2 e^{7x^3+3} + \frac{4}{7x+3} \right] dx$

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Find the equation (in terms of $x$ and $y$) of the tangent line to the curve $r = 5 \sin 4\theta$ at $\theta = \pi/4$. y =

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Texts: Use the following to answer questions 93-95: to be rebuilt or replaced. The following information has been gathered relative to this (Ignore income taxes in this problem.) Carlson Manufacturing has some decision: Purchase cost new Remaining book value... Cost to rebuild now..... Major maintenance at the end of 3 Annual cash operating costs.... Salvage value at the end of 5 years Salvage value now........... que pore A) $(48,000) B) $(39,000) years gras A) $(28,840) B) $(19,160) C) $(14,420) D) $(36,050) New Present Equipment Equipment $48,000 on ba $50,000 $30,000 $25,000 $8,000 $10,000 $3,000 $9,000 igge fac e equipment that needs Carlson uses the total cost approach and a discount rate of 12%. Regardless of which option is chosen, rebuild or replace, at the end of five years Carlson Manufacturing plans to close t domestic manufacturing operations and to move these operations to foreign countries. 93. If the new equipment is purchased, the present value of all cash flows that occur now is: 1:01 awib: $5,000 $8,000 $7,000 C) $(41,000) D) $(37,000) Answer: B Level: Easy LO: 1 211372 0 94. If the new equipment is purchased, the present value of the annual cash operating costs associated with this alternative is: To quinz Answer: A Level: Medium LO: 1 95. If the equipment is rebuilt, the present value of all cash flows that occur now is: A) $(55,000) B) $(25,000) C) $(16,000) D) $(23,000) Answer: B Level: Easy LO: 1 Chap Use th (Igna desir optic Opti $60 $20 cas The $30 Op Ce ΤΙ th W W $ C Chap Use t ignc desir opti Opt $60 $20 cas Th $3 Present New Equipment Equipment $50,000 $48,000 $30,000 $25,000 $8,000 $5,000 $10,000 $8,000 $3,000 $7,000 $9,000 decision: Purchase cost new Remaining book value.. Cost to rebuild now... Major maintenance at the end of 3 years . Annual cash operating costs... Salvage value at the end of 5 years Salvage value now.... O c T th W is: A) $48,000 B) $(39,000) C) $41,000 D) $(37,000) Answer: B Level: Easy LO: 1 94. If the new equipment is purchased, the present value of the annual cash operating costs associated with this alternative is: A) $28,840 B) $19,160 C) $14,420 D) $36,050 Answer: A Level: Medium LO: 1 95. If the equipment is rebuilt, the present value of all cash flows that occur now is: A) $(55,000) B) $25,000 C) $16,000 D) $23,000 Answer: B Level: Easy LO: 1

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Determine the equation of the ellipse with foci (8,-5) and (-8,-5), and a minor axis of length 12 .

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18) Find the value of the first-order derivative of the function $y = 3x^2 - 81$ when $x = 9$. A) -0.5 B) 1 C) 0 D) 5 19) Demand for a good is given by $Q = 30 - 0.08Y - 4P$ where $P$ is the price of the good and $Y$ is income. What is the new demand function if $Y$ increases from 400 to 500? A) $Q = 40 - 4P$ B) $Q = 60 - 4P$ C) $Q = 50 - 4P$ D) $Q = 50 - 6P$ 20) A monopolist sells to two consumer groups, students and non-students. Demand for students: $Q = 500 - 0.5P$ Demand for Non-students: $Q = 750 - 3P$ $TC = 200$ Find the profit-maximizing price in Non-student market. A) $Q = 197.5$ B) $P = 135$ C) $P = 225$ D) $P = 162.5$ 21) Choose the per unit rate of tax, $t$, which maximizes tax revenue in the market described by the equations Demand: $P = 212 - 5Q$ Supply: $P = 8 + 12Q$ Assuming that the market reaches equilibrium. After tax supply is given by: $P - t = 8 + 12Q$ or $P = 8 + 12Q + t$ and tax revenue = $tQ$ Choose the value of $t$ that maximizes tax revenue A) $t = 102$ B) $t = 12$ C) $t = 17$ D) $t = 6$ 22) In the following figure, at point $(b)$, along the linear demand curve, the demand would be Price (dollars per unit) Quantity (units per day) A) most elastic? B) Zero elastic C) unitry elastic? D) most inelastic?

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a) Input-Output Relation Output waveforms for the following Input waveforms b) \text{A waveform with 5V amplitude} c) \text{A waveform with 5V amplitude} d) \text{A waveform with 5V amplitude}

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The experimental apparatus consists of a rotating "T", which allows you to attach additional large masses which then also rotate. You will first measure the moment of inertia of the T by itself, and then you will use that information to predict the behavior of the T with two additional masses attached. You will rotate the T via a torque applied by a mass/pulley system. Some conceptual prob- lems occur because there are two different radii which must be considered. One radius is $r_{rod}$, the radius of the vertical rod -- this is the radius at which the torque is being applied. The second radius is $r_{large\ masses}$, the radius at which you attach the large masses. This is the radius which strongly affects the moment of inertia in parts C and D of this lab. $r_{rod}$ where torque is applied rotation axis $r_{large\ masses}$ with large masses attached A totally unimportant quantity is the distance from the rod to the pulley. You may feel it is important, but it is not! The torque about the axis of rotation is set by the radius of the rod, not by the distance to the pulley. PHY 103 Lab Manual Lab Quiz Questions 1. You measure the moment of inertia of the T to be 0.005 kg m². The radius of the vertical rod is 0.5 cm. You attach two additional 100 g weights at a radius of 10 cm from the axis of rotation. What is the new moment of inertia? 2. The previous system, with weights still attached, is spun by the falling motion of a 1 kg mass. How long does it take the falling mass to fall a distance of 1 m? 3. A T with moment of inertia of 0.001 kg m² is used for an experiment. The radius of the vertical rod is 0.6 cm. A hanging mass of 150 g is attached to the T by a string, which is used to start the T rotating. What is the acceleration of the hanging mass as it falls? What is the tension in the string holding up the hanging mass?

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For the given velocity field below, find the acceleration and clearly show the local and convective acceleration components. \underline{V} = 3xy\underline{i} + 5\underline{j} Formulas: $\underline{a} = \frac{D\underline{V}}{Dt} = \frac{\partial \underline{V}}{\partial t} + (\underline{V} \cdot \nabla)\underline{V}$ $a_x = \frac{\partial u}{\partial t} + u\frac{\partial u}{\partial x} + v\frac{\partial u}{\partial y} + w\frac{\partial u}{\partial z}$ $a_y = \frac{\partial v}{\partial t} + u\frac{\partial v}{\partial x} + v\frac{\partial v}{\partial y} + w\frac{\partial v}{\partial z}$ $a_z = \frac{\partial w}{\partial t} + u\frac{\partial w}{\partial x} + v\frac{\partial w}{\partial y} + w\frac{\partial w}{\partial z}$

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