Numerade

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Let $f(x) = \begin{cases} 0 & \text{for } 0 < x < 6 \\ x - 6 & \text{for } 6 < x < 8 \end{cases}$ Compute the Fourier sine coefficients for $f(x)$. $B_n = \text{_____}$ Give values for the Fourier sine series $S(x) = \sum_{n=1}^{\infty} B_n \sin(\frac{n\pi}{8}x)$. $S(8) = \text{_____}$ $S(-7) = \text{_____}$ $S(9) = \text{_____}$

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An increase in sales price per unit decreases the number of units required to be sold to break even. O True O False

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A savings account earns compound interest at an annual effective interest i. Given that i[2,4] = 21% , i_([1, 4])=21% calculate d_([1, 4]).

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For the initial value problem $xy' = 3x^2 - 2y$, $y(1) = 5$ complete the table below using Improved Euler's Method and a step size of $h = 1$. Keep all answers exact until $y_3$ ($y_3$ can be rounded to four decimal places).

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The Mendez family wants to purchase a home for $80,000. They can afford a $20,000 down payment. The loan will be a 30-year fixed rate mortgage. Interest will be 14% compounded monthly. Calculate the monthly payment

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1. The amount of money that a firm receives from the sale of its output is called a. total revenue. b. total gross profit. c. total net profit. d. net revenue. 2. The amount of money that a firm pays to buy inputs is called a. variable cost. b. marginal cost. c. fixed cost. d. total cost. 3. Opportunity costs are comprised of a. explicit costs. b. implicit costs. c. forgone income. d. all of the above. 4. Economists are primarily interested in a. the marginal cost of production in a firm. b. the accounting profits generated by a firm. c. how firms make production and pricing decisions. d. the value of a firm as manifest in stock price.

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The expression \exists x P(x) \land \neg \exists x Q(x) can be translated to "There is at least one x such that ____ and ____". A) P(x); not Q(x) B) P(x); there is no x such that Q(x) C) \forall y P(y) ; not Q(x) D) P(x); there is at least one x such that not Q(x)

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Let the two hosts X and Y be connected via a packet switch with 10 Mbps (bits per second) links. The switch is placed at a distance of 50 km from X. X and Y are located 100 kilometers apart, and the propagation speed along the link is 2 x 10^8 m/s. The switch begins forwarding a packet after 0.1 milliseconds of receiving the packet. If 1000 bytes of file need to be transmitted and each packet size is 500 bytes, the time elapsed between the transmission of the first bit of data and the reception of the last bit of the data in milliseconds is:

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In 1960, in North America, an average 65 year-old had a life expectancy of 14 more years. In 2011, the average 65 year-old had an expectancy of 19 more years. What is the approximate percent increase in life expectancy from 1960 to 2011? 36 11 14 None of these options is correct. 6 1.4

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A. Lab View problems Use the following functions to create VI's that accomplishes the following arithmetic operation A VI that calculates the output Q for given inputs X, Y and Z such that Q = 2X - \lfloor Y \rfloor + 32 + 7 (make sure that your VI updates every 5 seconds)

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alexander m.