Evaluate the integral using integration by parts with the indicated choices of u and dv.
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Simplify the exponential expression.
-1
A. x3y4
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Solve the problem.The number of households in Country X with personal computers (PCs) and the total number of households in Country X are shown in the table below for various years. Households with Personal Computers (Millions)YearHouseholds with PCs Total Households199328.2195.5199730.4598.0199949.80100.5200359.82102.2200567.42114.0Let C be the number (in millions) of households in Country X with PCs and H be the total number (in millions) of households in Country X, both at t years since 1990. (i) Find equations for C(and H to model the data.(ii) Use substitution or elimination to predict when all households in Country X will have PCs.(iii) Use the models to predict the percentage of households that will have PCs in 2017.
A. (i) C = 4.81t + 16.01; H = 0.99t + 68.42; (ii) In about 2029, all households in Country X will have PCs. (iii) In 2017, about 81.1% of households will have PCs. B. (i) C = 3.50t + 14.22; H = 1.31t + 89.70; (ii) In about 2024, all households in Country X will have PCs. (iii) In 2017, about 86.9% of households will have PCs. C. (i) C = 3.67t + 9.63; H = 4.30t + 52.37; (ii) In about 2019, all households in Country X will have PCs. (iii) In 2017, about 83.1% of households will have PCs. D. (i) C = 5.53t + 12.86; H = 2.53t + 79.41; (ii) In about 2030, all households in Country X will have PCs. (iii) In 2017, about 90.6% of households will have PCs.
Graph the equation.2x = y - 8
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Find the coefficient of the given term in the binomial expansion.x6 term, (x - 3)13
A. -3,752,892 B. -5148 C. 3,752,892 D. 1716