{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

M137.F07.Assign9

M137.F07.Assign9 - l/Iath 137 ASSIGNMENT 9 Fall 2007 Submit...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: l\/Iath 137 ASSIGNMENT 9 Fall 2007 Submit all boxed problems and all extra problems by 8:20 am. November 30. All solutions must be clearly stated and fully justiﬁed. Use the format given on UVVACE under Content, in the file Assignment Format for Math 135 and Math 137. ' TEXT PROBLEMS: Section 4.9 — 9, IE, I, I, I, 21, I, I, I, 39, I, 49, 52, 53, I, Section 5.2 — 5, 19, 23, 30, I, <10, 47, I, I, Section 5.3 — 3 , I, I, 9, 17, I, 35, I, 40, I, 51 Section 5.5 — 3, I, I 11, 141, I, 21 ,I, 25, I, 30, I, I, 40, 43, I 59, I, I, 75 EXTRA PROBLEMS: E9.1 As you drive down a country road late one night, your headlights pick out a skunk in your path, 200 metres ahead. You hit the brakes, hoping for the best. If the table below gives your velocity every 2 seconds before the car stops 10 seconds later, will you hit the skunk, or not? Suggestion: Assume v(t) is a line segment on each interval, and hence estimate the total distance travelled using the Trapezoid Rule. E92 a) Make two sketches of the graph of y = f(m) = 2 + cos 2: for O S a; g 27r, and illustrate £14 on one and R; on the other (the left and right Riemann sums with 4 subdivisions). ' b) Use areas to compare the values of the following quantities: R4, L4 and ~27r / (2 + cos (13)d:131 0 E93 Use the known error bounds for the Mid—Point Rule (ll/In) and Simpson’s Rule in these problems. 1 a) Show that the error in approximating / f(\$)d23 using Mn for any function 0 f(:r) = (1er + bcc + 0 depends only on a and n. b b) Show that Simpson’s Rule gives the exact value of / f(m)da: for any function . Ll f(:l:) = 1m"3 + cx‘o‘ + £11 + e. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern