Isabella's backyard has a patio, a walkway, and a garden.
a) About what percent of the total area of Isabella's backyard is the area
taken up by the patio, walkway, and garden. Round to the nearest whole
percent.
b) One longer side of Isabella's backyard lies next to the back of his
house. Isabella wants to build a fence that costs $9.75 per foot around
the other three sides. How much will Isabella spend on her new fence.
11.5 ft
13.75ft
Patio
9.25 ft
LAWN
walkway
LAWN
Garden
4.75
7.5 ft

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).