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Mathematics, 07.11.2021 14:00 gesic2003
1 question~Which inequality is true? Use the number line to help.
-2.5 -2 -1.5 -1 -0.5 0
0.5
1
1.5
2.5
N
-1.5 > 0.5
-0.5 > 0
-1.5 -0.5
o
120.5
2 question~(in the pic)
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Answers: 2
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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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1 question~Which inequality is true? Use the number line to help.
-2.5 -2 -1.5 -1 -0.5 0
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