Select f(x) = 1/(1 - x). For what values of b does the Maclaurin polynomial of degree 3 approximate f well when -b x b?
What is the interval of convergence for the Maclaurin series of f(x)? (Enter your answer using interval notation.)

The polynomial function of least degree with a leading coefficient of 1 is: f(x) = x3 + ax2 + bx + c

What is the exact volume of the cylinder (radius 13 in., height 30 in.)

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.