DOC PREVIEW
TAMU MATH 151 - 15x1S03a

This preview shows page 1-2 out of 7 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 7 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 7 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 7 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Spring 2003Math 151COMMON EXAM 1Test Form APRINT: Last Name: First Name:Signature: ID:Instructor’s Name: Section #INSTRUCTIONS1. In Part 1 (Problems 1–11), mark the correct choice on your ScanTron form usinga #2 pencil. For your own records, also record your choices on your exam! TheScanTrons will be collected after 1 hour; they will NOT be returned.2. In Part 2 (Problems 12–16), write all solutions in the space provided. You may usethe back of any page for scratch work, but all work to be graded must be shown inthe space provided. CLEARLY INDICATE YOUR FINAL ANSWERS.1Part I: Multiple-Choice Problems. Each problem is worth 4 points. No partial credit will be given.Calculators may not be used on this part. Scantron forms will be collected after one hour.1. Calculate limx→∞sin x.(a) 0(b) 1(c) −1(d) The limit does not exist.(e)122. Find the derivative of f (x)=3x3−5x2+x−7.(a) x2−52x +1(b) 9x2− 10x +1(c)34x4−53x3+12x2− 7x(d) 3x2− 5x +1(e) 6x2− 5x3. Evaluate limx→∞5x2+2x+33x2+5x+2(a)32(b)25(c) 0(d)53(e) ∞4. A line is given by the parametric equations x =2t+3,y=7t−2. Find the slope of this line.(a)72(b) −27(c)32(d) −23(e)2725. The polynomial x3+3x−5has only one real root. In which interval does it lie?(a) 0 <x<1(b) −1 <x<0(c) 1 <x<3(d) −5 <x<−1(e) 3 <x<76. Evaluate limx→−1x3− xx2+5x+4.(a) 0(b) 1(c)23(d)25(e) ∞7. Consider the function f (x)=x2−c, x ≤ 12c − x, x > 1.Forwhatvalueofcis f (x) continuous at x =1?(a) c =1(b) c =23(c) c =0(d) c =12(e) c =138. Find the vertical asymptotes of y =2x2+5x+23x2+7x+2.(a) x = −13(b) x = −2 and x = −13(c) x = −12(d) x = −12and x = −2(e) There are no vertical asymptotes.39. Determine which vector is perpendicular to the line passing through the points (2,1) and (3,5).(a) h2, 1i(b) h−1, 2i(c) h1, 4i(d) h−4, 1i(e) h5, 3i10. With h(x)=f(x)g(x), suppose f (2) = 1, f0(2) = 3, g(2) = 5,andg0(2) = 1.Then(a) h0(2) = 3(b) h0(2) = 16(c) h0(2) = 8(d) h0(2) = 4(e) h(x) is nondifferentiable at x =2.11. With h(x)=f(x)g(x), suppose limx→cf (x)=5,f(c)=3,limx→cg(x)=7,andg(c)=2.Then(a) limx→ch(x)=31(b) limx→ch(x)=35(c) limx→ch(x)=6(d) limx→ch(x)=7(e) limx→ch(x) does not exist.4Part II: Work-Out Problems.Partial credit is possible. Calculators are permitted during the second hour only. Show your work.Ananswer with no work is not acceptable.12. Consider the function f (x)=12x+3.(a) Calculate f0(1) using only the definition of derivative. (6 points)(b) Find the equation of the line tangent to the curve y =12x +3at the point1,15. (4 points)13. Find parametric equations for the line passing through the points (−1, 2) and (5,1). (8 points)514. Find the derivative of f (x) in each case. (4 points each)(a) f (x)=5x−2x2+3x+1.(b) f (x)=(3x3−2x2+x−7)(x2+4x−3)(c) f (x)=x3√x.15. Find limx→0(sin x)sin1x. Justify your answer. (7 points)616. Consider the triangle whose vertices are (−1, 3), (3,1), and (−2, −2). Choosing the segment (−1, 3)(3, 1) asthe base of the triangle, find the altitude. (9 points)yx17. Calculate the following limits. (5 points each)(a) limx→4√x − 2x2− 16(b) limx→∞√x2+ x


View Full Document

TAMU MATH 151 - 15x1S03a

Documents in this Course
Lab 9

Lab 9

5 pages

Lab 8

Lab 8

9 pages

Lab 7

Lab 7

5 pages

Lab 6

Lab 6

5 pages

Lab 5

Lab 5

5 pages

Lab 4

Lab 4

6 pages

Lab 3

Lab 3

6 pages

Lab 2

Lab 2

4 pages

Lab 1

Lab 1

3 pages

Notes

Notes

15 pages

Notes

Notes

1 pages

Notes

Notes

39 pages

Vectors

Vectors

7 pages

2011a_x3b

2011a_x3b

10 pages

lec5_5-7

lec5_5-7

33 pages

lec3_6-9

lec3_6-9

26 pages

lec4_1-2

lec4_1-2

25 pages

2_7

2_7

4 pages

handout

handout

2 pages

2010c_x1b

2010c_x1b

10 pages

lec3_1-3

lec3_1-3

26 pages

2011a_x3a

2011a_x3a

10 pages

LIFE

LIFE

2 pages

LIFEans

LIFEans

2 pages

s4.6

s4.6

4 pages

app_D

app_D

7 pages

lec13-23

lec13-23

28 pages

2009a_x2b

2009a_x2b

11 pages

syll5

syll5

2 pages

lec3_a-c

lec3_a-c

34 pages

syll151

syll151

2 pages

lec4_5-8

lec4_5-8

31 pages

lec6_3-4

lec6_3-4

37 pages

lec2_5-6

lec2_5-6

29 pages

2010a_x3b

2010a_x3b

12 pages

2008c_x2b

2008c_x2b

11 pages

lec5_1-3

lec5_1-3

24 pages

Exam 2A

Exam 2A

12 pages

handout

handout

2 pages

lec3_1-3

lec3_1-3

26 pages

L3A

L3A

3 pages

lec3_a-c

lec3_a-c

34 pages

lec4_3-4

lec4_3-4

15 pages

151wir8ws

151wir8ws

11 pages

lec4_5-8

lec4_5-8

31 pages

2_2

2_2

2 pages

2010c_x1a

2010c_x1a

10 pages

6_5

6_5

2 pages

lec3_4-5

lec3_4-5

29 pages

2010a_x1b

2010a_x1b

12 pages

2010a_x1a

2010a_x1a

12 pages

Load more
Download 15x1S03a
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view 15x1S03a and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view 15x1S03a 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?