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Gaspar, Adrian – Homework 2 – Due: Sep 11 2007, 3:00 am – Inst: MC Caputo
1
This
printout
should
have
20
questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
The due time is Central
time.
001
(part 1 oF 1) 10 points
Rewrite the sum
2
n
‡
6 +
3
n
·
2
+
2
n
‡
6 +
6
n
·
2
+
...
+
2
n
‡
6 +
3
n
n
·
2
using sigma notation.
1.
n
X
i
= 1
3
n
‡
6 +
2
i
n
·
2
2.
n
X
i
= 1
2
n
‡
6
i
+
3
i
n
·
2
3.
n
X
i
= 1
3
n
‡
6
i
+
2
i
n
·
2
4.
n
X
i
= 1
2
n
‡
6 +
3
i
n
·
2
5.
n
X
i
= 1
2
i
n
‡
6 +
3
i
n
·
2
6.
n
X
i
= 1
3
i
n
‡
6 +
2
i
n
·
2
002
(part 1 oF 1) 10 points
Estimate the area,
A
, under the graph oF
f
(
x
) =
4
x
on [1
,
5] by dividing [1
,
5] into Four equal
subintervals and using right endpoints.
003
(part 1 oF 1) 10 points
The graph oF a Function
f
on the interval
[0
,
10] is shown in
2
4
6
8
10
2
4
6
8
Estimate the area under the graph oF
f
by
dividing [0
,
10] into 10 equal subintervals and
using right endpoints as sample points.
1.
area
≈
57
2.
area
≈
58
3.
area
≈
55
4.
area
≈
59
5.
area
≈
56
004
(part 1 oF 1) 10 points
Estimate the area under the graph oF
f
(
x
) = 4 sin
x
between
x
= 0 and
x
=
π
2
using fve approx
imating rectangles oF equal widths and right
endpoints as sample points.
1.
area
≈
4
.
555
2.
area
≈
4
.
615
3.
area
≈
4
.
635
4.
area
≈
4
.
595
5.
area
≈
4
.
575
005
(part 1 oF 1) 10 points
Cyclist Joe accelerates as he rides away
From a stop sign. His velocity graph over a 5
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This note was uploaded on 03/19/2008 for the course M 408L taught by Professor Radin during the Fall '08 term at University of Texas at Austin.
 Fall '08
 RAdin
 Calculus

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