Miguel Indurain, a five-time winner of the Tour de France, has the lowest recorded resting heart rate, 28 beats per minute (bpm). This is less than half the normal rate, which is about 66 bpm.
Which of the following equations, where t represents time in minutes and B the number of beats, represents a heart rate greater than Indurain’s?

Choose all answers that apply:

A. B=2.8t

B. B=20t

C. B=27t

D. B=29t

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).