05spex1 - MATH 222 SPRING 2005 FIRST MIDTERM Grade 1 2 3 4...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 222- SPRING 2005 FIRST MIDTERM Grade 1 2 3 4 MATH 222- SPRING 2005 FIRST MIDTERM (1) (25 pts) Calculate the following integrals. 1 1r /x" In 2$dx / xe$2+ 1 dr / sin 5x cos 5xdx 0 —7|’ Write the partial fraction decomposition of the following fraction and integrate it 2 + 2x x2(2+x2)' MATH 222- SPRING 2005 FIRST MIDTERM (2) (25pts) Compute the recursion formula for the integral / xneaxdx / x4e3ld1: and use it to compute Find the limit cosn lim 2 TL—‘OC TL MATH 222- SPRING 2005 FIRST MIDTERM (3) (25pts) Calculate the Taylor series for the function g(:c) = 2m cos(:r2). Be sure to give the general term of the series (the one in place n) 6'12 1—1‘2 Calculate T4f(x) for the function f(:1:) = little—oh here). (you need to use MATH 222» SPRING 2005 FIRST MlDTERM (4) (25pts) To calculate e we will use T3f(1) instead of f(1) = 6, With f(x) 2 ex. Calculate an upper bound for the error we make. Show that the function cos 12 is equal to its Taylor series. ...
View Full Document

This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at University of Wisconsin.

Page1 / 5

05spex1 - MATH 222 SPRING 2005 FIRST MIDTERM Grade 1 2 3 4...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online