John got a part time weekend job at a local restaurant to save for a new car. He plans on depositing $120 per month for the next 3 years in a savings account with a rate of 5% per year compounded monthly. How much will he have saved toward his down payment at the end of the 3 year period?

a) $4,620.40b) $4,610.40c) $4,660.40d) $4,670.40e) $4,650.40

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).