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Practice Exam 1 - Spring 2011 - Calculus II | MATH 231, Exams of Calculus

University of Illinois - Urbana-ChampaignCalculus

Sections 7.1 to 7.8 and Arc Length (Chapter 8) Material Type: Exam; Class: Calculus II; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Spring 2011;

Typology: Exams

2010/2011

Uploaded on 06/22/2011

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MATH 231 Test 1 Spring 2011
Name
(circle your TA discussion section)
.CD1, TR 9:00-9:50, Vicki Reuter .CD2, TR 10:00-10:50, Vicki Reuter
.CD3, TR 12:00-12:50, Ilkyoo Choi .CD4, TR 2:00-2:50, Tom Mahoney
.CD5, TR 9:00-10:50, Paul Spiegelhalter .CD6, TR 1:00-2:50, Kelly Funk
.CD7, TR 12:00-12:50, Nathan Orlow .CD8, TR 1:00-1:50, Nathan Orlow
.CD9, TR 3:00-3:50, Grace Work
.ED1, TR 2:00-2:50, Yat Sen Wong .ED2, TR 3:00-3:50, Bolor Turmunkh
.ED3, TR 4:00-4:50, Yat Sen Wong .ED4, TR 9:00-9:50, Brian Collier
.ED5, TR 12:00-12:50, Bolor Turmunkh .ED6, TR 3:00-3:50, Hannah Kolb
.ED7, TR 4:00-4:50, Hannah Kolb
•Sit in your assigned seat (shown below).
•Do not open this test booklet until I say START.
•Turn off all electronic devices and put away all items except a pen/pencil and an eraser.
•Unless otherwise stated, you must show sufficient work to justify each answer.
•While the test is in progress, we will not answer questions concerning the test material.
•Quit working and close this test booklet when I say STOP.
•Quickly turn in your test to me or a TA and show your Student ID.
P1 P2 P3
N1 N2 N3 N4 N5 N6 N7 N8 N9 N10
M1 M2 M3 M4 M5 M6 M7 M8 M9 M10
L1 L2 L3 L4 L5 L6 L7 L8 L9 L10 L11 L12 L13
K1 K2 K3 K4 K5 K6 K7 K8 K9 K10 K11 K12 K13 K14
J1 J2 J3 J4 J5 J6 J7 J8 J9 J10 J11 J12 J13 J14
H1 H2 H3 H4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G14
F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F14
E1 E2 E3 E4 E5 E6 E7 E8 E9 E10 E11 E12 E13 E14
D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13 D14
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14
B1 B2 B3 B4 B5 B6 B7 B8 B9 B10 B11 B12
A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A11
P1 P2 P3
N11 N12 N13 N14 N15 N16
M11 M12 M13 M14 M15 M16 M17 M18 M19
L14 L15 L16 L17 L18 L19 L20 L21 L22 L23 L24
K15 K16 K17 K18 K19 K20 K21 K22 K23 K24 K25 K26 K27 K28
J15 J16 J17 J18 J19 J20 J21 J22 J23 J24 J25 J26 J27 J28
H15 H16 H17 H18 H19 H20 H21 H22 H23 H24 H25 H26 H27 H28
G15 G16 G17 G18 G19 G20 G21 G22 G23 G24 G25 G26 G27 G28
F15 F16 F17 F18 F19 F20 F21 F22 F23 F24 F25 F26 F27 F28
E15 E16 E17 E18 E19 E20 E21 E22 E23 E24 E25 E26 E27 E28
D15 D16 D17 D18 D19 D20 D21 D22 D23 D24 D25 D26 D27 D28 D29
C15 C16 C17 C18 C19 C20 C21 C22 C23 C24 C25 C26 C27 C28
B13 B14 B15 B16 B17 B18 B19 B20 B21 B22 B23 B24 B25
A12 A13 A14 A15 A16 A17 A18 A19 A20

FRONT OF ROOM – 100 Noyes Lab
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Partial preview of the text

Download Practice Exam 1 - Spring 2011 - Calculus II | MATH 231 and more Exams Calculus in PDF only on Docsity!

MATH 231 Test 1 Spring 2011

Name

(circle your TA discussion section)

. CD1, TR 9:00-9:50, Vicki Reuter. CD2, TR 10:00-10:50, Vicki Reuter

. CD3, TR 12:00-12:50, Ilkyoo Choi. CD4, TR 2:00-2:50, Tom Mahoney

. CD5, TR 9:00-10:50, Paul Spiegelhalter. CD6, TR 1:00-2:50, Kelly Funk

. CD7, TR 12:00-12:50, Nathan Orlow. CD8, TR 1:00-1:50, Nathan Orlow

. CD9, TR 3:00-3:50, Grace Work

. ED1, TR 2:00-2:50, Yat Sen Wong. ED2, TR 3:00-3:50, Bolor Turmunkh

. ED3, TR 4:00-4:50, Yat Sen Wong. ED4, TR 9:00-9:50, Brian Collier

. ED5, TR 12:00-12:50, Bolor Turmunkh. ED6, TR 3:00-3:50, Hannah Kolb

. ED7, TR 4:00-4:50, Hannah Kolb

• Sit in your assigned seat (shown below).

• Do not open this test booklet until I say START.

• Turn off all electronic devices and put away all items except a pen/pencil and an eraser.

• Unless otherwise stated, you must show sufficient work to justify each answer.

• While the test is in progress, we will not answer questions concerning the test material.

• Quit working and close this test booklet when I say STOP.

• Quickly turn in your test to me or a TA and show your Student ID.

P1 P2 P

N1 N2 N3 N4 N5 N6 N7 N8 N9 N

M1 M2 M3 M4 M5 M6 M7 M8 M9 M

L1 L2 L3 L4 L5 L6 L7 L8 L9 L10 L11 L12 L

K1 K2 K3 K4 K5 K6 K7 K8 K9 K10 K11 K12 K13 K

J1 J2 J3 J4 J5 J6 J7 J8 J9 J10 J11 J12 J13 J

H1 H2 H3 H4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H

G1 G2 G3 G4 G5 G6 G7 G8 G9 G10 G11 G12 G13 G

F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F

E1 E2 E3 E4 E5 E6 E7 E8 E9 E10 E11 E12 E13 E

D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13 D

C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C

B1 B2 B3 B4 B5 B6 B7 B8 B9 B10 B11 B

A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A

P1 P2 P

N11 N12 N13 N14 N15 N

M11 M12 M13 M14 M15 M16 M17 M18 M

L14 L15 L16 L17 L18 L19 L20 L21 L22 L23 L

K15 K16 K17 K18 K19 K20 K21 K22 K23 K24 K25 K26 K27 K

J15 J16 J17 J18 J19 J20 J21 J22 J23 J24 J25 J26 J27 J

H15 H16 H17 H18 H19 H20 H21 H22 H23 H24 H25 H26 H27 H

G15 G16 G17 G18 G19 G20 G21 G22 G23 G24 G25 G26 G27 G

F15 F16 F17 F18 F19 F20 F21 F22 F23 F24 F25 F26 F27 F

E15 E16 E17 E18 E19 E20 E21 E22 E23 E24 E25 E26 E27 E

D15 D16 D17 D18 D19 D20 D21 D22 D23 D24 D25 D26 D27 D28 D

C15 C16 C17 C18 C19 C20 C21 C22 C23 C24 C25 C26 C27 C

B13 B14 B15 B16 B17 B18 B19 B20 B21 B22 B23 B24 B

A12 A13 A14 A15 A16 A17 A18 A19 A

FRONT OF ROOM – 100 Noyes Lab

1. (8 points) Evaluate the following integral. Be sure to use proper notation in each step of the work

used to justify your answer.

e−^2 x^ dx

2. (4 points each) Determine whether the following integrals converge or diverge. No partial credit

will be given for this problem. You do not need to show any work.

(a)

√ 3 x dx

(b)

x^3

x^5 + 5x + 3

dx

(c)

x^5 + 1

x^6

dx

(c)

∫ 4 x + 3

x^2 + 1

dx

(d)

(4 − x^2 )^3 /^2

dx

(f)

∫ 2 x + 16

x^2 − 4

dx

4. (8 points) Set up, but do not evaluate, an integral which represents the length of the curve

f (x) = x^3 + 4x from x = 0 to x = 3.

Students – do not write on this page!

1. (8 points)

2. (12 points)

3a. (12 points)

3b. (12 points)

3c. (12 points)

3d. (12 points)

3e. (12 points)

3f. (12 points)

4. (8 points)

TOTAL (100 points)