Jorge is asked to build a box in the shape of a rectangular prism. its height will be 2 cm more than its width. the sum of the length, width, and height is 20 cm. use a graphing calculator to find the width, rounded to the nearest tenth of a cm, that will give jorge’s box the largest possible volume.
a 2.7 cm

b 5.7 cm

c 6.0 cm

d 9.0 cm

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Find the roots of the equation below. x^2 - 6 + 9 = 0

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.