You have 100 yards of fencing available to create an enclosure for farm animals. as the builder, you can choose one of the design options from below. 4 points option 1: create an enclosure shaped like a regular pentagon. option 2: create an enclosure shaped like a regular hexagon. option 3: create an enclosure shaped like a regular octagon. decide which option will give the animals the most space. show your work and give the area of each enclosure to the nearest tenth of a square yard.

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).