MAT125, Paper Homework RR1
1. Using dierentials, estimate the amount of paint required to apply a coat of paint 0.05 cm
thick to a hemispherical dome with diameter 50 meters. Dont forget to indicate t
Math 125
Second Midterm
March 31, 2015
Name:
ID:
Rec:
Question:
1
2
3
4
5
6
7
Total
Points:
16
12
10
10
10
10
10
78
Score:
There are 7 problems in this exam. Make sure that you have them all.
Do all o
MAT 125
Solutions to Second Midterm(papaya)
1. Compute each of the derivatives below as indicated.
4 points
(a) f (x) = 4x8 5x4 + 4x e3 .
Solution: f (x) = 32x7 20x + 4.
Dont forget that e3 is a const
MAT 125
Second Midterm
March 31, 2015
Name:
ID:
Rec:
Question:
1
2
3
4
5
6
7
Total
Points:
16
12
10
10
10
10
10
78
Score:
There are 7 problems in this exam. Make sure that you have them all.
Do all of
MATH 125
Solutions to Second Midterm(mango)
1. Compute each of the derivatives below as indicated.
4 points
(a) f (x) = 6x8 5x4 + 4x e3 .
Solution: f (x) = 48x7 20x + 4.
Dont forget that e3 is a const
MAT125 Spring 2014 ' Midterm #1
Your name:
TAs name:
Problem #1: Evaluate the following limits:
a) l_im_£;:2_)f_35_ C [\N N
H7 2x 11x21 XV?§~ a. I?
l l . X'l' S +§ . _.
b - 5+x ; )M 5' "1
MATH 125
First Midterm
February 23, 2009
Name:
ID:
Rec:
Question:
1
2
3
4
5
6
7
8
Total
Points:
20
10
5
15
5
10
5
15
85
Score:
There are 8 problems in this exam. The pages are printed on both sides. M
MAT125 Spring 2014
Midterm #1
Your name:_
TAs name:_
Problem #1: Evaluate the following limits:
x 2 2 x 35
a) lim 2
x 7 2 x 11x 21
1 1
+
b) xlim5 5 x
5 + x
c) lim
x 3
3x 5 2
x 3
1
Problem #2: Evaluat
Practice Final Exam
MAT 125
May 8, 2006
ID number:
Name:
Recitation number (e.g., R01):
(for evening lecture, use ELC 4)
Lecture 1
R01
R02
R03
R04
R05
R31
Lecture 2
R06
R07
R08
R09
R10
Lecture 3
R11
R
MATH 125
3 points
3 points
Solutions to First Midterm
1. Compute each of the following limits. If the limit is not a nite number, please distinguish
between +, , and a limit which does not exist (DNE)
Solutions for MAT 125 First Midterm
February 23, 2009
1. Let f (x) = x2 + 3x with domain all real numbers. Let A = (1, f (1) and
B = (2, f (2). There is also the point C = (x, f (x) with x close to 1.
MAT 125
Solutions to Second Midterm, Vers. 2
1. For each of the functions f (x) given below, nd f (x).
4 points
1 + 2x2
1 + x4
Solution: This is a straightforward quotient rule problem:
(a) f (x) =
f
Review for Final Exam
MAT 125, Fall 2004
This is a review sheet for the nal exam. Doing the problems given here should help you
prepare for the nal exam.
About 40% of the nal will be material that was
Practice Final Exam Solutions
MAT 125
May 8, 2006
1. Compute the following limits. Please distinguish between lim f (x) = , lim f (x) =
and limit does not exist even allowing for innite values.
(a) l
MAT 125: Calculus A
Stony Brook,
Spring 2015
About this course: The goal of this course is to develop your understanding of the concepts of dierential
calculus and your ability to apply it to problems
MAT125 Spring 2014
Midterm #2
Your name:_
TAs name:_
Problem #1: Find the derivative of each function.
a) () =
b)
3
3+
() = (3 2 + 9 4)(4 3 + 2 )
1
Problem #2: Find the equation of the tangent line
MATH 125
Solutions to First Midterm
1. The graph of a function f is shown below.
5
4
3
2
1
6 5 4 3 2 1 0
f
1
2
3
4
5
6
2
3
4
5
6
(a) 3 points List all points 6 x 6 where f (x) is not continuous. If th
Solutions to review problems
MAT 125, Fall 2004
1. For each of the following functions, nd the absolute maximum and minimum values for
f (x) in the given intervals. Also state the x value where they o
MAT125, Paper Homework 5
1. For what values of x between 0 and 2 is the function f (x) = x 2 sin(x) increasing?
2. How many lines which are tangent to the curve y =
Where do they touch the curve?
x
pa
MAT 125
Second Midterm
November 16, 2009
Name:
ID:
Rec:
Question:
1
2
3
4
5
6
Total
Points:
16
16
15
14
12
12
85
Score:
There are 6 problems in this exam, printed on 6 pages (not including this cover
MAT125, Paper Homework MM
1. Find the x values corresponding to the absolute maxima and minima for the function
3x5 20x3
for x in the interval 2 x 2.
2. Sketch the graph of f (x) = 3x5 20x3 . Locate a
MATH 125
Second Midterm
November 17, 2008
Name:
ID:
Rec:
Question:
1
2
3
4
5
6
Total
Points:
12
12
10
10
12
10
66
Score:
There are 6 problems in this exam, printed on 6 pages (not including this cover
MAT125, Paper Homework 2
1. Calculate
lim
x0
1
1
2
x x +x
,
if it exists. (If the limit doesnt exist, explain.)
2. Let F (x) =
x2 4
.
|x 2|
(a) Compute lim F (x) and lim F (x).
+
x2
x2
(b) Does lim F
MAT125, Paper Homework 1
1. Find all real values of x which satisfy the following:
(a) ln(x2 1) = 3
(b) e2x 3ex + 2 < 0
2. Find all values of x with 0 x 2 which satisfy the following:
(a) cos(x2 ) 1/2
MATH 125
Solutions to First Midterm
1. Compute each of the following limits. If the limit is not a nite number, please distinguish
between +, , and a limit which does not exist (DNE). Justify your ans
MATH 125
First Midterm
October 13, 2009
ID:
Name:
Rec:
Question:
1
2
3
4
5
6
7
8
Total
Points:
9
9
12
8
8
12
8
8
74
Score:
There are 8 problems in this exam. Make sure that you have them all.
Do all o
Math 125
Solutions to Second Midterm(pineapple)
1. Compute each of the derivatives below as indicated.
4 points
(a) f (x) = 3x8 5x4 + 4x e3 .
Solution: f (x) = 24x7 20x + 4.
Dont forget that e3 is a c