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Mathematics, 20.12.2019 04:31 dpierc16
Aperson stands 12 meters east of an intersection and watches a car driving away from the intersection to the north at 4 meters per second. at a certain instant, the car is 9 meters from the intersection. what is the rate of change of the distance between the car and the person at that instant (in meters per second)?
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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x β 1 2x3 + 3x2 β 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 β 2x = x(2x2 + 3x β 2) = x(2x β 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formβ 8x2 + 9x β 1 x(2x β 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 β 1)(x + 2), obtaining 8x2 + 9x β 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x β 1).
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Aperson stands 12 meters east of an intersection and watches a car driving away from the intersectio...
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