Alos angeles-area radio station plays songs from a specific, fixed set of artists. the station has no dj; instead, a computer randomly selects which songs to play. the songs themselves are picked randomly, and the same song may be played many times in a row. in the set of songs, 55% are sung by a female singer, 35% are sung by a male singer, and 10% are instrumental with no vocals. what is the probability that a song with a female singer, a song with a male singer, and an instrumental song will be played in that order?

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).