100 points the following data show the number of dogs per house in a neighborhood: 2, 1, 3, 2, 1, 4, 1, 5, 2, 1, 3, 1 the data have been organized into a dot plot, as shown below: a dot plot with integers 1 to 5 is shown. it is labeled dogs, and titled dogs in houses. there are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. for which number are the data plotted incorrectly? a. 4 b. 3 c. 2 d. 1

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).