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Quiz # 41 in MTH 122 - Spring 2005 at Essex County College - Prof. Ron Bannon, Quizzes of Analytical Geometry and Calculus

A math quiz from essex county college's division of mathematics, held on february 8, 2005. The quiz includes three questions: using newton's method to find an approximate root, finding a limit using ln function, and evaluating an integral. Students are required to show all work and justify answers algebraically.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 122 Spring 2005
Essex County College Division of Mathematics
Quiz # 41 February 8, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Use Newton’s method to find an approximate root of the equation ex+x= 0 correct to
six decimal places.
2. Find the limit.
lim
x3+ln (x3) =
3. Evaluate.
Ze
1
(ln x)2
xdx=
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
1

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MTH 122 — Spring — 2005 Essex County College — Division of Mathematics Quiz # 4^1 — February 8, 2005

Name:

Signature:

Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.

  1. Use Newton’s method to find an approximate root of the equation ex^ + x = 0 correct to six decimal places.
  2. Find the limit. lim x→ 3 +^

ln (x − 3) =

  1. Evaluate. (^) ∫ e

1

(ln x)^2 x

dx =

(^1) This document was prepared by Ron Bannon using LATEX 2ε.