Douring a recent snowstorm, john measured the total snowfall accumulated at the end of each hour. he recorded his results in the table below time snowfall total 1 p. m. 2 p. m. 3 p. m 4 p. m. 5 p. m. 6 p. m. (in inches) 0.7 1.9 2.8 3 8 4.3 5.1 what is the approximate average rate of change of the snowfall between 1 p. m. and 6 p. m.? ! !

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x

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).

Find the sum of the given arithmetic series. 24 + 17 + 10 + 3 + + (–39)