MATH 147, SPRING 2016
COMMON EXAM I (PART 1) - VERSION A
LAST NAME:
FIRST NAME:
INSTRUCTOR:
SECTION NUMBER:
UIN:
DIRECTIONS:
1. The use of a calculator, laptop or computer is prohibited.
2. Mark the correct choice on your ScanTron using a No. 2 pencil. For your own records, also record your choices on
your exam!
3. Be sure to write your name, section number and version letter (A, B, or C) of the exam on the ScanTron form.
THE AGGIE CODE OF HONOR
“An Aggie does not lie, cheat or steal, or tolerate those who do.”
Signature:
DO NOT WRITE BELOW!
Question
1–10
Points Awarded
Points
50
1
PART I: Multiple Choice (5 points each)
x2 − 2x − 8
.
x→4 x2 − 5x + 4
1. Evaluate lim
(a) 1
(b) 2
(c) 0
(d) Does not exist
(e) 6
2. Find all solutions of log2 (x) + log2 (x − 2) = 3. (Hint: Check that your solutions lie in the domain)
(a) x = −2, x = 4
(b) x = 2
(c) x = −4, x = 2
(d) x = −4
(e) x = 4
2
3. The graph of a function f is given below. Determine all values of x for which f is NOT differentiable.
(a) x = −2, x = 0, x = 2, x = 4, x = 5
(b) x = −2, x = −1, x = 0, x = 2, x = 4, x = 5
(c) x = −2, x = −1, x = 0, x = 2, x = 5
(d) x = −1, x = 0, x = 2, x = 4, x = 5
(e) x = −1, x = 0, x = 2, x = 5
4. Evaluate lim e−x cos x.
x→∞
(a) 1
(b) Does not exist (∞)
(c) −1
(d) Does not exist (−∞)
(e) 0
3
3x3 + 7x2 − 1
.
x→−∞ x − 6x2 − 6x3
5. Evaluate lim
(a) 3
(b) Does not exist (∞)
1
(c)
2
(d) Does not exist (−∞)
1
(e) −
2
6. Evaluate lim−
x→2
3x
.
2−x
(a) 6
(b) −3
(c) Does not exist (∞)
(d) Does not exist (−∞)
(e) 0
4
√
7. Evaluate lim
x→0
x2 + 4 − 2
.
x2
(a) 0
(b) 1
1
(c)
2
1
(d)
4
(e) Does not exist.
8. Evaluate lim cos
x→4
πx 3
.
√
3
2
1
−
2
√
3
2
1
2
√
2
−
2
(a) −
(b)
(c)
(d)
(e)
5
9. Evaluate lim
x→0
sin(4x) sin(2x)
.
x2
(a) 8
(b) Does not exist (∞)
(c) 0
(d) 1
(e) Does not exist (−∞)
10. Use a logarithmic transformation to find a linear relationship between appropriate transformations of
x and y if y = 3x7 .
(a) log y = 7 log x + log 3
(b) log y = 3x + log 7
(c) log y = 7x + log 3
(d) log y = 3 log x + log 7
(e) None of these.
6