Consider the error formulas. |E| ≤

(b − a)3

12n2

[max |f ''(x)|], a ≤ x ≤ b

Trapezoidal Rule

|E| ≤

(b − a)5

180n4

[max |f (4)(x)|], a ≤ x ≤ b

Simpson's Rule

Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.

6 1 (x − 1)2 dx 2

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function.a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.

Question 9 of 10 2 points suppose your sat score is 1770. you look up the average sat scores for students admitted to your preferred colleges and find the list of scores below. based on your sat score of 1770, which average score below represents the college that would be your best option? o a. 1790 o b. 2130 o c. 2210 od. 1350