Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year: Feb 2014
Written Assignment 4
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 2.10
4. Chec
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:?
Semester and year: FEB14
Written Assignment 1
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 0.1
22. Find a
Name: Jonathan Sword
College ID:0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year:Feb2014
Written Assignment 5
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
Section 4.1
16. Find th
April 04, 2013
Section 2.3
Differentiate each function
8.
3
h( x ) 12 x 2
x2
d
d
d 3
12 x 2
dx
dx
dx x 2
h '( x ) 0 2 x 3x 2
3
h '( x ) 2 x 2
x
h '( x )
10.
f (t ) 3t 2t 1.3
d
d
t 2 t 1.3
dx
dx
1
f '(t ) 3 t 2.6t .3
f '(t ) 3
12.
f x
3
1
1
4x2 x 3 4
4.1-40
Find the function f(x) that satisfies the given conditions.
4.4-28
Compute the average value of the function on the given interval.
4.5-56
Find the average value of the function on the given interval.
4.6-30
Evaluate the indicated integral.
March 23, 2013
Section 1.4
Determine where
f
is continuous; if possible extend f as in example 4.2 to a new function that
is continuous on a larger domain.
4.
4x
4x
f x 2
x 2 2 x 2 x 1
Has a removable discontinuity at
8.
f x x cot x x
and
x 2
cos x
sin x
April 27, 2013
Section 2.10
4. check the hypothesis of Rolles Theorem and the Mean Value theorem and find a value of c
that makes the appropriate conclusion true. Illustrate the conclusion with a graph.
f x sin x, , 0
f sin 0
f 0 sin 0 0
, 0
f(x) is a t
May 01, 2013
Section 4.1
Find the general anti derivative
16.
cos x
2
sin x dx cos x(csc x)dx sin x cot x c c cos x
18.
4 x 2e dx 2 x
x
2
2e x c
22.
4x
1
3
3
3
dx 1 x 2 tan 1 x c
4
4
4
2
38. Find the function f(x) that satisfys the given conditions.
f
April 14, 2013
Section 2.8
Find the derivative y(x) implicitly.
10.
4y
10 x 2
x2
4y
3x y 3 10 x 2
x2
3
x 2 3x y 10 x 2 4 y
3x y 3
3x 2 y 3 x 10 x3 6 x 2 y 3 20 x 2 4 y
10 x3 17 x 2 6 x y 3 x 2 y 3 4 y
d
10 x3 17 x 2 6 x 30 x 2 34 x 6
dx
d
y3 x 2 y3
May 17, 2013
Section 5.1
Find the area between the curves on the given interval
2.
y cos x, y x 2 x, 0 x 2
2
A x 2 2 cos x dx
0
4.
x3
2 x sin x
3
2
0
2
0 3
2 2 sin 2
2 0 sin 0 5.76
3
3
3
y e x , y x 2 ,1 x 4
4
x3
A x e dx e x
3
1
2
4
x
20.65
1
Sk
March 07, 2013
Section 0.1
22. Find a second point on the line with slope m and point P. Graph the line and find an
equation of the line.
,
1 P 2,1
m
4
m
y2 y1
x2 x1
y 1 y2 1
1 y2 1
2
4 2 2
22
4
y2 0
the second ordered pair is 2, 0
y m x xo yo
1
x 2 0
March 17, 2013
Section 1.2
6. Use numerical and graphical evidence to conjecture values for each limit. If possible use
factoring to verify your conjecture.
2 x
lim
x 2 x 2 2 x
x
-1
-1.5
-1.75
-1.9
-1.99
-2.1
y
-.333
-.666
-.571
-.526
-.503
-.476
2 x
2 x
11 May, 2013
Section 4.5
Use part 1 of the fundamental theorem to compute each integral exactly.
10.
2
2
4
4
3csc x cot xdx 3csc x
3csc
3csc x 3 2 3
2
4
14.
1
4 4 2
4 4
1
1
4
1
1 1 x 2 dx 4 tan x
18.
t
sin
2
0
t
t
0
0
x cos x dx 1dx x
t
2
36. Find
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.: WA 2
Semester and year: February 2014
Written Assignment 2
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 1.
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.: WA3
Semester and year: Feb 2014
Written Assignment 3
Answer all assigned exercises, and show all work. Each exercise is worth 4 points.
Section 2.1
8. U
Name: Jonathan Sword
College ID: 0327679
Thomas Edison State College
Calculus I (MAT-231)
Section no.:
Semester and year: Feb 2014
Written Assignment 6
Answer all assigned exercises, and show all work. Each exercise is worth 10 points.
Section 5.1
2. Find
March 31, 2013
Section 2.1
8. Use definition 1.1 to find an equation of the tangent line to y=f(x) at x=a. Graph y=f(x) and
the tangent line to verify that you have the correct equation.
, a=1
f x x 3
f a h f a
h0
h
1 h 3 1 3
4 h 4
4h 2 4h 2
lim
lim
lim