MATH 148, SPRING 2015
COMMON EXAM I - VERSION A
LAST NAME:
FIRST NAME:
INSTRUCTOR:
SECTION NUMBER:
UIN:
DIRECTIONS:
1. The use of a calculator, laptop or computer is prohibited.
2. In Part 1 (Problems 113), mark the correct choice on your ScanTron using a
Math 148
Texas A & M University
Quiz # 6 Version A
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Texas A & M University
Quiz # 6 Version B
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Texas A & M University
Quiz # 7 Version A
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only
possible with some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Texas A & M University
Quiz # 7 Version B
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Assignment # 1
Texas A & M University
Spring 2012
1. [40 points] Evaluate the following indenite integrals.
a ) 3x2 x3 5dx
b)
cos(6x2 3x)(4x 1)dx
c)
3t2 1
dt
t3 t
d)
tan tdt
1
2. [60 points] Let u(a) be the current population density of a single
Math 148
Assignment # 2
Texas A & M University
Spring 2012
2
1. [10 points] Evaluate
(x + 3) 4 x2 .
2
2. [15 points] A bacteria population starts with 400 bacteria and grows at
a rate of r(t) = 450.268e1.12567t bacteria per hour. Assuming no mortality,
co
Math 148
Assignment # 3
Texas A & M University
Spring 2012
1. [20 points] Use integration by parts to evaluate
arctan(4t)dt.
2. [20 points] Write out the form of the partial fraction expansion of the
function. Do not determine the numerical values of the
Math 148
Assignment # 4
Texas A & M University
Spring 2012
1. [20 points] The following table shows the population of Nepal (in millions)
as of June 30 of the given year. Use a linear approximation to estimate the
population at midyear in 1989. Use anothe
Math 148
Assignment # 5
Texas A & M University
Spring 2012
1. [30 points] Solve the following initial value problems.
a )y =
b)
2 cos 2x
, y (0) = 0
3 + 2y
dT
= 2(100 T ), T (0) = 100
dt
c ) y = t3 (1 y ), y (0) = 3
1
2. [50 points] Find and classify the
Argument A
There is a need for students to understand and be able to construct geometric figures using a compass
and straightedge.
Summary
I personally think there is a need for students to understand and be able to construct geometric figures
using math
Math 148
Texas A & M University
Quiz # 5 Version B
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Texas A & M University
Quiz # 5 Version A
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be sha
Math 148
Texas A & M University
Quiz # 4
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Calculators may not be shared. (d) P
Math 148
Texas A & M University
Assignment # 7
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only
possible with some written indication of your thoughts. (c) Please put a box around your f
Math 148
Texas A & M University
Assignment # 8
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only
possible with some written indication of your thoughts. (c) Please put a box around your f
Math 148
Texas A & M University
Assignment # 9
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only
possible with some written indication of your thoughts. (c) Please put a box around your f
Math 148
Texas A & M University
Assignment # 10
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only
possible with some written indication of your thoughts. (c) Please put a box around your
Math 148
Quiz # 1 Version A
Texas A & M University
Spring 2012
1. [80 points] Evaluate the following integrals.
a)
x3 (2 + x4 )5 dx
b)
sin x
dx
1 + cos2 x
c)
ecos x sin xdx
1
d)
0
dx
(1 + x)4
1
9
2. [20 points] Using integration by parts, evaluate
4
2
ln
Math 148
Quiz # 1 Version B
Texas A & M University
Spring 2012
1. [80 points] Evaluate the following integrals.
ex
a)
dx
ex + 1
b)
x
dx
1 + x4
c)
sin x cos4 xdx
e4
d)
e
dx
x ln x
1
1
2. [20 points] Using integration by parts, evaluate
0
2
y
dy.
e2y
Math 148
Quiz # 2 Version A
Texas A & M University
Spring 2012
1. [20 points] Use integration by parts to evaluate
2. [40 points] Evaluate
5x + 1
dx.
(2x + 1)(x 1)
1
cos d.
3. [40 points] Determine whether the following improper integrals are Type
1 or T
Math 148
Quiz #2 Version B
Texas A & M University
Spring 2012
1. [20 points] Use integration by parts to evaluate
1
2. [40 points] Evaluate
0
x2
x4
dx.
5x + 6
1
x cos(5x)dx.
3. [40 points] Determine whether the following improper integrals are Type
1 or
Math 148
Quiz #3 Version A
Texas A & M University
Spring 2012
1. Let f (x) = (x 1)2 , g (x) = e2x and h(x) = 1 + ln(1 2x).
a ) [30 points] Find linear approximations of f, g, and h at a = 0. What
do you notice? How do you explain what happend?
b ) [40 poi
Math 148
Quiz #3 Version B
Texas A & M University
Spring 2012
1. [30 points] Find the 6th-degree Taylor polynomial T6 centered at a = 0
for the function f (x) = cosx. Graph f (x) together with T6 in the viewing
xy-rectangle [5, 5] by [1.4, 1.4].
1
2. Let
Math 148
Texas A & M University
Assignment # 6
Spring 2012
Instructions:
(a) Show all steps; unjustified answers will not receive credit. (b) Partial credit is only possible with
some written indication of your thoughts. (c) Please put a box around your f