Plant A is located at the (X, Y) coordinates of (100, 200) and has a volume of shipping of 500 units a day. Plant B is located at the (X, Y) coordinates of (150, 400) and has a volume of shipping of 200 units a day. Using the centroid method, which of the following is the X coordinate for the new plant location? A) About 208.
B) About 227.
C) About 243.
D) About 389.
E) X coordinate cannot be computed from the data given.

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).