MATH 21 Midterm 1
Spring 2010
Duration: 50 minutes, Material Covered: Stewart 2.12.5 Instructions: On the front of your blue/green book print (1) your full name, (2) your student ID number, (3) "Math 21, Spring 2010", (4) your discussion section number a
UC Merced: MATH 21 Exam #2 2 November 2007
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Sprague or Lei), (4) a grading table, and (5) your seat number.
Show all wor
UC Merced: MATH 21 Final Exam 15 December 2007
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion section
number, (4) your room and seat number, and (5) a grading table. Show all work in your bluebook and BO
UC Merced: MATH 21 Exam #3 07 December 2007
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Sprague or Lei), (4) a grading table, and (5) your seat number.
Show all wo
MATH 21 Final
Fall Semester 2008
Duration: 3 hours
Instructions: Answer all questions, without the use of notes, books or calculators. Partial credit
will be awarded for correct work, unless otherwise specied. The total number of points is 100.
1. ( point
UC Merced: MATH 21 Final Exam 09 May 2009
Instructions (Failure to follow these instructions may result in a loss of points.)
On the front of your bluebook print (1) your name, (2) your discussion section number, (3) your instructors
name (Crona, Lei, or
Exam # 2. Solution
1.
a) A car drives nonstop 400 mi in 5 hours on I5 where the speed limit is 70 mph.
After hearing this story a policeman can justify giving the driver a speeding ticket
since the cars.
This is True. According to the Mean Value Thm if
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UC Merced: Math 21 Final Exam May 17, 2008
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your
discussion section number and instructor's name (Lei or Yatskar) and (4) a grading table.
Show all work in your bluebook and
UC Merced: MATH 21 Exam #3 09 May 2008
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Sprague or Lei), (4) a grading table, and (5) your seat number.
Show all work in
MATH 2120 Worksheet 4: The derivative as a function, differentiation rules 2.22.3 Spring 2017
1 Using the limit definition only, compute the derivative function f 0 (x) for each of the functions given below:
(a) f (x) = 4x
+5
(b) f (x) = x + 2
(c) f (x
MATH 2120
Worksheet 5: Trigonometric functions and the Chain Rule 2.42.5
Spring 2017
1  warm up Compute the derivative of the functions given  you may use derivative rules.
f (x) = sin(x) + 35x2 + 6
g(x) = sin(x) + cos(x)
h(x) = x cos(x) + 2
k(x) = 25
MATH 2120
1
Worksheet 3: limits, continuity, and derivatives 1.72.1
Spring 2017
In this exercise, we verify the fact that
lim (5x + 1) = 16.
x3+
(a) Define f (x) = 5x + 1, and compute f (3 + a).
(b) Consider to be a fixed small positive number. solve fo
MATH 21
Worksheet 2: Limits and limit laws
1 A table of approximate values for the function f (x) =
(a) Using the table, guess the value of the limit
x2 9x+20
x2 25
Spring 2017
is given below.
lim f (x).
x5
(b) Using algebra, show that the function can be
Worksheet 1: Review of functions, lines, and 1.4
MATH 21
1
Evaluate the function y = x2 + 5(x + 1) for x = 1, x = 2, x = 5, and x = 5.
2
Find the slope of the line through the points (4, 5) and (6, 13).
3
For the function f (x) given by the formula f (x)
MATH 21 Midterm 3
Spring semester 2009
Duration: 50 minutes, Material Covered: Stewart 5.17.6
Instructions: On the front of your blue/green book print (1) your name, (2) your student ID number, (3) your discussion section number and instructors name (Kri
MATH 21 Midterm 2
Fall Semester 2008
Duration: 50 minutes
Instructions: On the front of your bluebook print (1) your name, (2) your student ID number,
(3) your discussion section number and instructors name (Devin Greene or Lei, Yue), and (4) a
grading ta
MATH 21 Midterm 2
Spring semester 2009
Duration: 50 minutes, Material Covered: Stewart 3.54.9
Instructions: On the front of your blue/green book print (1) your name, (2) your student ID number, (3) your discussion section number and instructors name (Kri
UC Merced: MATH 21 Exam #2 April 4, 2008
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Lei or Yatskar) and (4) a grading table. Show all work in your
bluebook and BO
UC Merced: MATH 21 Exam #1 20 February 2009
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Sprague, Lei, or Crona) and (4) a grading table. Show all
work in your blue
UC Merced: MATH 21 Exam #1 22 February 2008
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your discussion
section number and instructors name (Lei or Yatskar) and (4) a grading table. Show all work in
your bluebook and
MATH 21 Midterm 3 Solutions
Spring semester 2009
1. F T T F T
2. 6, 4x ln 4, f, ex , e4 ,
15
v(t)dt
3.
0
4. With notation as in the book,
x =
ba
30
=
= 1,
n
3
R3 = x (f (1) + f (2) + f (3) = 1(1 + 4 + 9) = 14
Answer: 14
5. (a) Answer: ln x + C
(b) Wi
UC Merced: MATH 21 Exam #2 02 November 2005
On the front of your bluebook print (1) your name, (2) your student ID number, (3) your instructors
name (Sprague) and (4) a grading table. Show all work in your bluebook and BOX IN YOUR FINAL
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