Calculus I
Chapter 1
You must show all work in order to receive credit.
1. (3 pts) Find sin if cos =
4
5
for
2
0:
2. (4 pts) Evaluate:
(a) log4
1
16
(b) ln 1
3. (8 pts) Sketch a graph with the following properties:
(a)
lim f (x) =
x!
1
4
(b) f (0) = 0
(c)
Calculus I
Chapter 2
You must show all work in order to receive credit.
1. (8 pts) Suppose an object is traveling with its position given by f (t) =
5t2 + 7: Find the
f (2) f (1)
2 1
(a) average velocity from 1 to 2 seconds.
(b) instantaneous velocity at
Calculus I
Exam 3
You must show all work in order to receive credit. You do not
need to simplify anything!
p
1. (8 pts) Find the linear approximation of f (x) = 2x + 9 at x0 = 0:
y
y
= f 0 (x0 ) (x x0 ) + f (x0 )
= f 0 (0) (x 0) + f (0)
1
1
p
(2)
f 0 (x)
Calculus I
Exam 3
You must show all work in order to receive credit. You do not
need to simplify anything!
p
1. (8 pts) Find the linear approximation of f (x) = 2x + 9 at x0 = 0:
2. (14 pts) Evaluate the following limits:
(a) lim x1=x
x!1
p
x 1
x!1 x 1
(b
Math 131- Snow Day
Directions: You will need your text to look up denitions. If you are
struggling, reading portions of sections 1.3, 3.3, and 3.7 may be helpful.
1. Continuity
(a) What is the o cial denition of a continuous function?
(b) Explain what it
Calculus I
Chapter 2
credit.
You must show all work in order to receive
1. (8 pts) Suppose an object is traveling with its position given by f (t) =
5t2 + 7: Find the
(a) average velocity from 1 to 2 seconds.
(b) instantaneous velocity at t = 2:
2. (48 pt