Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) =

x2 − 2x

x2 − 4

,

x = 2.1, 2.05, 2.01, 2.001, 2.0001,

1.9, 1.95, 1.99, 1.999, 1.9999

x f(x)

2.1

0.512195

Correct: Your answer is correct.

2.05

0.5062

Incorrect: Your answer is incorrect.

2.01

0.5012

Incorrect: Your answer is incorrect.

2.001

0.5000

Incorrect: Your answer is incorrect.

2.0001

0.500012

Correct: Your answer is correct.

x f(x)

1.9

0.487179

Correct: Your answer is correct.

1.95

0.493670

Incorrect: Your answer is incorrect.

1.99

0.498746

Incorrect: Your answer is incorrect.

1.999

0.499874

Incorrect: Your answer is incorrect.

1.9999

0.499987

Correct: Your answer is correct.

(co 3) the soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. the company takes readings of every 10th bar off the production line. the reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. is the process in control or out of control and why? it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are far apart it is out of control as one of these data points is more than 3 standard deviations from the mean it is in control as the values jump above and below the mean