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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).
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Mathematics, 22.06.2019 05:20
Ted and meg have each drawn a line on the scatter plot shown below: the graph shows numbers from 0 to 10 on x and y axes at increments of 1. dots are made at the ordered pairs 1, 8 and 2, 7.5 and 3, 6 and 4, 5.5 and 4.5, 4.8 and 5, 4 and 6, 3.5 and 7, 3 and 8, 1.9 and 9, 1.2 and 10, 0. a straight line labeled line p joins the ordered pairs 0, 8.5 and 10.1, 0. a straight line labeled line r joins the ordered pairs 0, 8.5 and 7.8, 0. which line best represents the line of best fit? line p, because it is closest to most data points line p, because it shows a positive association line r, because it is closest to most data points line r, because it shows a negative association
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