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MAT 1330, Fall 2010 Assignment 6
Due Wednesday November 24, at the beginning of class.
Late assignments will not be accepted; nor will unstapled assignments.
Instructor (circle one): Frithjof Lutscher
Angelika Welte
Aziz Khanchi
Robert Smith?
DGD (circle one): 1
2
3
4
Student Name
Student Number
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Question 1.
Consider the function
f
(
x
)=
x
(
x
+ 1)(
x
+ 2)(
x
+ 3) which is de±ned for all
x
in
R
. Show that the equation
f
!
(
x
) = 0 has three distinct solutions. Answer:
.
Question 2.
Use Newton’s method to approximate a solution of the equation
2 cos(
x
)
−
x
=0
.
To that end, follow the steps outlined below:
a)
Use the intermediate value theorem in order to show that there is a solution between 0
and
π
2
.
.
1
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View Full Document b)
Perform four iterations of Newton’s method with initial value
x
0
=
π
4
. (Use 8 decimal
places).
n
x
n
x
n
+1
0
1
2
3
Question 3.
Follow the steps below to graph the function
f
(
x
)=
e
−
x
2

2
x
+1
2
.
a)
Find the domain of
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This note was uploaded on 09/17/2011 for the course MAT 1330 taught by Professor Dumitriscu during the Fall '08 term at University of Ottawa.
 Fall '08
 DUMITRISCU

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