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School
Southern New Hampshire University *
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Course
225
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
5
Uploaded by hollyannez
11/27/23,
3:09
PM
Online
Homework
System
Name:
Class
#:
Instructor:
John
Latvis
Assignment
Instructions:
s
ACADEMIC
SUPPORT
Question
1:
(10
points)
Southern
New
Hampshire
University
-
Assignment
Worksheet
11/27/23
-
3:09:53
PM
EST
MAT-225-X2592
Calc
I:
Single-Variable
Calc
23EW2
:
MAT-225
:
1421274
Class:
Section
#:
Assignment:
6-3
Module
Six
Problem
Set
Looking
for
additional
support
working
through
this
problem
or
material?
Check
out
SNHU's
Academic
Support
resources
available
in
the
Academic
Support
module
in
Brightspace!
Find
two
numbers
with
difference
64
and
whose
product
is
a
minimum.
Enter
your
answers
in
increasing
order.
First
number:
Second
Number:
Show
your
work
and
explain,
in
your
own
words,
how
you
arrived
at
your
answers.
Question
2:
(3
points)
A
farmer
wants
to
fence
a
rectangular
area
of
98
square
feet
next
to
a
river.
Find
the
length
and
width
of
the
rectangle
which
uses
the
least
amount
of
fencing
if
no
fencing
is
needed
along
the
river.
Assume
the
length
of
the
fence
runs
parallel
to
the
river.
Length:
feet
Width:
feet
https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print
1/5
11/27/23,
3:09
PM
Question
3:
(8
points)
Confirm
that
the
below
limit
meets
the
conditions
to
apply
I'H6pital's
Rule
and
then
solve
the
limit.
Be
sure
to
address
these
conditions
in
your
explanation.
Enter
an
exact
humeric
answer.
3sin(z)
im
—
z—o+
3n(l+z)
Please
explain,
in
your
own
words
and
in
a
few
sentences,
how
you
arrived
at
your
answers.
Answers
with no
relevant
explanations
may
receive
reduced
or
no
credit.
Question
4:
(3
points)
Find
the
limit
using
I'HOpital's
Rule.
Enter
an
exact
numeric
value.
Question
5:
(4
points)
Find
the
limit.
Use
I'Hopital's
Rule
if
appropriate.
To
enter
00,
type
infinity
with
a
lower
case
i.
lim
+/7zIn(z)
=
z—07T
https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print
Southern
New
Hampshire
University
-
2/5
11/27/23,
3:09
PM
Southern
New
Hampshire
University
-
Question
6:
(3
points)
7
.7:3—7
:v5
T
Find
an
antiderivative
of
in
the
variable
z
where
7é
0.
Remember
to
include
a
"+
C"
if
appropriate.
Antiderivative
=
Question
7:
(8
points)
Find
an
antiderivative
F
(z)
with
F
(z)
=
f
(z)
=
8
+
2023
+
1524
and
F
(1)
=
0.
Remember
to
include
a
"+
C"
if
appropriate.
F(z)
=
Show
your
work
and
explain,
in
your
own
words,
how
you
arrived
at
your
answer.
Question
8:
(3
points)
Find
the
indefinite
integral
(for
£
>
0)
on
the
domain
of
positive
real
numbers.
Remember
to
include
a
"+
C"
if
appropriate.
Enclose
arguments
of
functions
in
parentheses.
For
example,
sin
(2:1:)
To
enter
\/a,—
,
type
sqrt(a).
https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print
3/5
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