Name: MA 171—01 Test 3
Show all work and justify all answers to receive credit.
1. Find the general antiderivative for the following
functions: (10)
a. f(x)=e5x+cos%x
F06); Q5X + LSMIX JFC
/ / 2
5 I\
b. f(x)=J;+£+x2
x
i 3
FM: 2.x 2‘ +5mlx1 «Us, -+ C
j a
Ava: 75.0%
Name:
Show all work and justify all answers to receive credit.
1. If the distance of a particle is given by f(t)=—t3+3t2—3t,
find: (10)
a. the velocity v(t)= -3
b. acceleration a(t)= "‘
2. Find the derivative. (70)
a. y=10g5(3x—7)
of: j e
LJ
Show all work and justify all answers to receive credit.
1. Determine the following limits from the graph of f(x). Express
the limits as a real number, oo,—-oo or state DNE. (8)
7
. . I.
<a> 1”“ f(x)= l <c> hm f(x)= ' (e “21m: ~06
\/
x—)O x—>1+ x—->+
li
MA 120 Practice Test 3
Hughes
1. Find the absolute maximum and minimum of the following functions on the intervals that are
given.
a. = 3 + 3 2 24 + 31 [0,3]
1
b. = )
(
c. = 2 +1
(0,3)
Hint: () = 1
[-2,2]
Hint: Dont calculate the second derivative.
MA 120
Test 2 Practice
1. (8 pts)
MA120
Hughes
Take the derivatives of the following functions:
. = 2 3 3 + 4
. = 2/3 6 4 /3
. =
. =
4
3 3
2
+ 3
2
2. (12pts)
function:
A tire factory discovers that the production cost for producing tires is given by the
= 4
MA 120 Test 1
1. (12 Pts)
Name:_
Find the following limits if they exist:
lim
2 2 4 + 5 =
lim
2 3 10
=
2 6 + 5
4
5
lim 6 =
13
2. (8 Pts)
Use the graph of () below to determine the following limits, if they exist.
lim ( ) =
1
lim () =
2
1
MA 120 Tes
MA 171_9Test4
Name:
Show all work and justify all answers to receive credit.
1. Evaluate the integrals.
2X
-* ; 0U<
urx oiv e a“
p _L
dM:0\X '“ Z
r, "x" , l Xe]
ixcU-«J 6A0“ '“
Z 2
b. chos(3x) dx ’
, LSMZX
Mid} “,6 2)
Sn
2(5me 5»; $m3X0U< 7 i
{b J ‘
C.j