Math V1101: Calculus I (Chao Li)
Midterm I (Practice Problems)
True/False Questions
f (1 + h) f (1)
.
h0
h
(1) T
F
The derivative of f (x) at x = 1 is equal to lim
(2) T
F
If f (x) = sin(x) and g(x) = 1 + x2 , then f g(x) = 1 + sin2 (x).
(3) T
F
If f (x)
Math V1101: Calculus I (Chao Li)
Final Exam (Sample)
You have 170 minutes to complete your work. The total: 60 points.
Except for True/False problems, show your reasons and computations.
No notes, books, calculators, computers, or other electronic aids
A
Chemistry 1251
Final Exam (3 hours)
Dec. 10, 2010
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Math V1101: Calculus I (Chao Li)
Midterm II (Practice A)
You have 75 minutes to complete your work. The total: 40 points.
Except for True/False problems, show your reasons and computations.
No notes, books, calculators, computers, or other electronic a
Math V1101: Calculus I (Chao Li)
Midterm I (Practice Problems)
True/False Questions
f (1 + h)
h!0
h
f (1)
(1) T
F
The derivative of f (x) at x = 1 is equal to lim
.
(2) T
F
If f (x) = sin(x) and g(x) = 1 + x2 , then f
(3) T
F
If f (x) is continuous at x =
Math V1101: Calculus I (Chao Li)
Midterm II (Practice B)
You have 75 minutes to complete your work. The total: 40 points.
Except for True/False problems, show your reasons and computations.
No notes, books, calculators, computers, or other electronic a
Math V1101: Calculus I (Chao Li)
Midterm I (Sample)
You have 75 minutes to complete your work. The total: 40 points.
Except for True/False and matching problems, show your reasons and computations.
No notes, books, calculators, computers, or other elec
Math V1101: Calculus I (Chao Li)
Midterm II (Practice Answers )
Practice A
Problem 1.
TTFF FFTF
Problem 2.
(1) Increasing on ( 2, 0), (2, +1). Decreasing on ( 1, 2), (0, 2).
p
p
p
p
(2) Concave up on ( 1, 2 3/3), (2 3/3, +1). Concave down on ( 2 3/3, 2 3/
MIDTERM 1 NOTES:
Here is a list of some of the more common functions that are nice enough (continuous)
Polynomials are nice enough for all xs.
!
!
!
!
Solution
This limit is going to be a little more work than the previous two. Once again however note tha
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The chart below provides some basic parent functions that you should be familiar with. It also includes the domain and range of
each function, and if they are even, odd, or neither, which we learned here in the Compositions of Functions, Even and Odd,
Inc
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Math V1101: Calculus I (Chao Li)
Midterm I (Solutions to sample and practice problems)
Sample Exam
Problem 1. (8 points) Mark True or False. No justication is needed.
FFTF FTFF
Problem 2.
b, a, c, d, e
Problem 3.
b, e, a, d, c
Problem 4.
(1) lim
x2
x!1
4x