Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
1. Check the hypotheses of Rolles Theorem and the Mean Value Theorem (See Section
2.10), and find a value of c that makes the appropriate conclusion tr
GroupWorkForum(PhaseI)
Exercise5.2
FindthevolumeofthesolidwithcrosssectionalareaA(x).
2.A(x)= 10 e0.01 x , 0 x 10
10
V = 10 e 0.01 x dx
Let u=0.01 x
0
10
=
10 eu dx
0
10
=
10 eu 100 du
0
10
=
1000 eu . du
0
=
=
=
=
=
=
10 00[e u ] 10
0
10 00[e 0.01 10e 0
HIS301: AFRICAN HISTORY AND CULTURE
Module 1Beginnings
OBJECTIVES
After successfully completing Module 1, you should be able to:
Briefly describe the supercontinentcycle hypothesis and the tectonic processes that created
Africa's geographical configurat
8.2 #6
3
( 1)k k
2
k 3
taking the constant out
c *a
n
c * an 3* ( 1)k
an N n N
an positive
lim an 0
n
(1)
na
n
an ( 1) n 1 an
both converge
1
2k
ak positive decreasesN 3
ak
1
lim k
k 2
f ( x)
lim(1)
f ( x ) lim
x a
k
lim
lim
g
(
x
)
0
x a
k
li
Section 9.2 #2
2. Find the slopes of the tangent lines to the given curves at the indicated points
x t3 t
(a)
y t 4 5t 2 4
t 1
dx
3t 2 1
dt
(a)
(b)
(c)
(b)
(c)
t 1
(0, 4)
dy
4t 3 10t
dt
dy
( 1)
dy
4( 1)3 10(1) 4 10 6
dt
3
dx t 1 dx ( 1)
3( 1) 2 1
3 1
Written Assignment 5
Section 8.6
4. Determine the radius and interval of convergence.
k
2
k 0
k
xk
we have the series
k=0
let u k =
lim
k
k k
x
2k
  
u k+1
k k
k +1 k+1 2k
x
thenby
Ratio
test
lim
=lim
x k
k+1
k u k
k 2
2k
kx
k2+1k x= x2
Hence by
Discuss the possible impact of climatic change on
animal and human life (pp. 3741).
Climate change had undoubtedly great impact on
animal and human life but competition for resources
had more influence on origin and evolution of life.
Each cycle of clim
CHAPTER 2  TEST QUESTIONS
TRUE OR FALSE
3.
Alfred Wegener proved the theory of continental drift on the basis of the geographic fit of the continents,
paleontological, and geological evidence.
F he could not provide a mechanism to explain how the plates
Thomas Edison State College
Calculus I (MAT231)
Section no.: MOD5
Semester and year: NOV 2014
Written Assignment 5
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
1. Find the general antiderivative.
cos x
dx
2
x
4x
4 x
Thomas Edison State College
Calculus I (MAT231)
Section no.: MOD6
Semester and year: NOV 2014
Written Assignment 6
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
1. Find the area between the curves on the given interv
Thomas Edison State College
Calculus I (MAT231)
Section no.: MOD 1
Semester and year: NOV 2015
Written Assignment 1
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
1. Find a second point on the line with slope m and poi
Thomas Edison State College
Calculus I (MAT231)
Section no.: MOD4
Semester and year: NOV 2014
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
1. Check the hypotheses of Rolles Theorem and the Mean V
WA1
Section 01:
22. Find a second point of the line with slope m and point P, graph the line and find
an equation of the line. Math Error
m = 1/4 P = (2,1)
y = mx + b
1 = (1/4)(2) + b
1 = 1/2 + b
b = 1/2
equation of line: y =  x +
Additional point:
Thomas Edison State College
Calculus II (MAT232)
Written Assignment 1
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 5.2
2. Find the volume of the solid with crosssectional area A(x).
A(x) = 10e0.01x 0 x 10
10
Section 5.3
4. Sketch the region, draw in a typical shell, identify the radius and height of the shell, and
compute the volume for the region bounded by y = x, y = x, and x = 1 revolved about x =1
b
v = 2 x f ( x ) dx
Radius = (1x)
Height = 2x
a
1
v = 2
Name: Keyur Parikh
Group Assignment 1
Section 5.2 Exercise 22
Section 5.4 Exercise 10
Section 5.2 : Exercise 22
Region bounded by y = sec x, y = 0, x=/4,
x= /4
Y=2
A. y= 2
x = /4
/4
/4
V=
Y = sec x
R o2 dx

/ 4
x = =/4
R i2 dx
/ 4
Ro= 2 and Ri= 2sec
Name: KEYUR PARIKH
College ID: 0603042
Thomas Edison State College
Calculus II (MAT232)
Section no.:
Semester and year: September 2016
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
Section 8.1
2.
Name: Keyur Parikh
College ID: 0603042
Thomas Edison State College
Calculus II (MAT232)
Section no.: Group B
Semester and year: September 2016
Written Assignment 3
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section
Section 5.4
4. Approximate the length of the curve using n secant lines for n = 2; n = 4.
14. Compute the arc length exactly.
Y = 2 ln ( 4x2), 0 x 1
f
( x)
'
S=
1+
b
a
S=
4 x 2
4x 2
1+
1
0
S=
4 x 2
4x 2
1+
1
0
1
S=
0
1
S=
0
1
S=
0
1+(
16 x 2
)dx
x 48 x
Name: Arch/414 KW
College ID: 049,7 cfw_1
Thomas Edison State College
Calculus I (MAT231)
Section no.: 675 003
Semester and year: [NH] 3017
Written Assignment 5
Answer all assigned exercises, and show all work Each exercise is worth 5 points.
1. Differ
. sinx
' ifitexists.Assnmcthnt hm= .
7. Evaluate the indicated
3131] f (X), where f (X) =cfw_
3x+l ifx_>_
f(t)=tz+2,a=0
10033):
1'2 .
ArfC/L
0% m) t
Written Assignment 3 795 CNN (WWW)
(,v ooy
MZOV')
. sin x ,
10. Given that hm = 1, quickly e