Q1: There are 500 students at Jacob's school.
Jacob wants to conduct a survey of the students at his school to determine the level of interest in partidputin
a musical
Which of the following is most likely to produce a representative sample of students interest in paroda
the musical?
(A) A survey of every fifth student to arrive at school one day
(B) A survey of the first 100 students to arrive at school one day
(C) A survey of the students in one randomly selected homeroom
(D) A survey of the students who take theater classes and music classes

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).