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If you approximate the function f(x)=(1)/(2x) near x=1 with the Taylor polynomial P_(3)(x)=(1)/(2)-(1)/(2)(x-1) (1)/(2)(x-1)^(2)-(1)/(2)(x-1)^(3), which of the following is the remainder? (12)/(z^(5))(x-1)^(4) for some z bewteen 1 and x (1)/(2z^(5))(x-1)^(4) for some z bewteen 1 and z (1)/(8z^(5))(x-1)^(4) for some z bewteen 1 and x (1)/(32z^(5))(x-1)^(4) for some z bewteen 1 and x

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Show Attempt History Current Attempt in Progress Your answer is partially correct. A woman stands a distance $d$ from a loud motor that emits sound uniformly in all directions. The sound intensity at her position is uncomfortable $2.1 \times 10^{-3} W/m^2$. At a distance 2.5 times as far from the motor, what are (a) the sound intensity and (b) the sound intensity level relative to the threshold of hearing? (a) Number Units $W/m^2$ (b) Number 85.05 Units $dB$ eTextbook and Media Hint Knowns and Unknowns The data for this problem are listed below: Description Explicit Data Symbol Value Comment Sound intensity at first $I_1$ See

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Question 9 Feasible Region Locate the feasible region determined by the constraints listed below. Then, graph the feasible region as a solution set to system of inequalities by drawing a polygon around the solution region. Click to set the corner points. Follow the steps below to graph the feasible region. 1. Select the polygon button below. 2. Click to plot the coordinate points for the corners of the feasible region. 3. Move from corner to corner in a clockwise or counter-clockwise motion. Constraints: $\begin{cases} 2x + 6y \leq 54 \\ 7x + y \leq 49 \\ x \geq 0 \\ y \geq 0 \end{cases}$

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True or False: An increase in the price of Mickey Mantle baseball cards results in a leftward shift of the demand curve for Mickey Mantle baseball cards, ceteris paribus (holding all else equal). True False

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Who is most likely to commit sibling abuse? An older brother An older sister A younger brother A younger sister

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The U.S. patent system was designed to tap the creative and productive potential of which of the following? Their abundant natural resources Their large stock of imported goods and machinery Rich agricultural lands An enterprising population with a "universal ambition to go forward"

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Solve the following differential equation by using integrating factors.\ $xy' = y - 4x^3$, $y(1) = 16$

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Would you expect chemical disruption of the thylakoid membrane to have any direct impact on the carbon fixation reactions of photosynthesis

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Sabre Company buys tiles and prints different designs on them for souvenir and gift stores. The company keeps on hand a stock equal to 25% of the next month's sales. The tiles cost $3 and are eventually sold for $12 each. The company has 3,100 tiles in stock at the start of the year Jan. 1. Sabre pays its suppliers 80% of purchases in the month of purchase, and 20% in the month following the purchase. Sales estimates (in units) for the next four months follow below: January 12,400; February 17,800; March 13,200; April 14,200. Determine cash disbursements for purchases for the months of February and March. Determine the ending inventory and accounts payable balances as of March 31.

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Find an SVD of the matrix. \begin{bmatrix} 1 & 3 \\ -3 & -1 \end{bmatrix} A = (Type an exact answer, using radicals as needed.)

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