Items - Analytic Geometry and Calculus - Exam, Exams of Analytical Geometry and Calculus

These are the notes of Exam of Analytic Geometry and Calculus which includes Limit Number, Recitation, Circle, Correct Response, Series Converge, Statements, True, Converges, Converges Absolutely etc. Key important points are: Items, Formula, Tan, Compute, Slope, Tangent Line, Linear Approximation, Estimate, Number, Derivative

Typology: Exams

2012/2013

Uploaded on 02/12/2013

padmalaya
padmalaya 🇮🇳

4.4

(18)

94 documents

1 / 7

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MA 165 Exam 2 01 Fall 2011
NAME
10-DIGIT PUID
REC. INSTR. REC. TIME
LECTURER
INSTRUCTIONS:
1. There are 7 different test pages (including this cover page). Make sure you have a
complete test.
2. Fill in the above items in print. Also write your name at the top of pages 2–7.
3. Do any necessary work for each problem on the space provided or on the back of the
pages of this test booklet. Circle your answers in this test booklet. No partial credit
will be given.
4. No books, notes, calculators or any electronic devices may be used on this exam.
5. Each problem has 8 points assigned. 4 points are given for taking the exam. The
maximum possible score is 96+4=100 points.
6. Using a #2 pencil, fill in each of the following items on your scantron sheet:
(a) On the top left side, write your name (last name, first name), and fill in the little
circles.
(b) On the bottom left side, under SECTION NUMBER, put 0 in the first column
and then enter the 3-digit section number. For example, for section 016 write
0016. Fill in the little circles.
(c) On the bottom, under TEST/QUIZ NUMBER, write 01 and fill in the little
circles.
(d) On the bottom, under STUDENT IDENTIFICATION NUMBER, write in your
10–digit PUID, and fill in the little circles.
(e) Using a #2 pencil, put your answers to questions 1–12 on your scantron sheet by
filling in the circle of the letter of your response. Double check that you have filled
in the circles you intended. If more than one circle is filled in for any question,
your response will be considered incorrect. Use a #2 pencil.
7. After you have finished the exam, hand in your scantron sheet and your test booklet
to your recitation instructor.
pf3
pf4
pf5

Partial preview of the text

Download Items - Analytic Geometry and Calculus - Exam and more Exams Analytical Geometry and Calculus in PDF only on Docsity!

MA 165 Exam 2 01 Fall 2011

NAME

10-DIGIT PUID

REC. INSTR. REC. TIME

LECTURER

INSTRUCTIONS:

  1. There are 7 different test pages (including this cover page). Make sure you have a complete test.
  2. Fill in the above items in print. Also write your name at the top of pages 2–7.
  3. Do any necessary work for each problem on the space provided or on the back of the pages of this test booklet. Circle your answers in this test booklet. No partial credit will be given.
  4. No books, notes, calculators or any electronic devices may be used on this exam.
  5. Each problem has 8 points assigned. 4 points are given for taking the exam. The maximum possible score is 96+4=100 points.
  6. Using a #2 pencil, fill in each of the following items on your scantron sheet: (a) On the top left side, write your name (last name, first name), and fill in the little circles. (b) On the bottom left side, under SECTION NUMBER, put 0 in the first column and then enter the 3-digit section number. For example, for section 016 write
  7. Fill in the little circles. (c) On the bottom, under TEST/QUIZ NUMBER, write 01 and fill in the little circles. (d) On the bottom, under STUDENT IDENTIFICATION NUMBER, write in your 10–digit PUID, and fill in the little circles. (e) Using a #2 pencil, put your answers to questions 1–12 on your scantron sheet by filling in the circle of the letter of your response. Double check that you have filled in the circles you intended. If more than one circle is filled in for any question, your response will be considered incorrect. Use a #2 pencil.
  8. After you have finished the exam, hand in your scantron sheet and your test booklet to your recitation instructor.

(8 pts) 1. If F (θ) = sin−^1 (√sin θ), then F ′(θ) =

A. 2 √ 1 −cos sin^ θ θ√sin θ

B. (^) 2 sin θcos√ 1 θ− sin θ

C. (^) 2(1 −− sin^ cos θ)^ θ√sin θ

D. cos

(^2) θ 2 √ 1 − sin θ√sin θ E. (^) 2 sin −θ√^ cos 1 −^ θ sin θ

(8 pts) 2. Find the formula for tan (sin−^1 x) A. √ 1 − x^2 B.

√ 1 − x 2 x C. √ 1 x− x 2 D. √1 + x^2 E. √1 +x x 2

(8 pts) 5. If y = xln^ x, then at x = e the value of dy dx is

A. 1 B. 2 C. 3 D. e E. 0

(8 pts) 6. If we use the linear approximation for f (x) = √^3 x at a = 1000, then the estimate for the number √^3 1001 is A. 10. 1 B. 10 C. 10. 2 D. (^30130)

E. (^3001300)

(8 pts) 7. Which of the following is the derivative of ln(2 cosh x)? A. −2 tanh x B. − coth x C. 2 sinh x D. coth x E. tanh x

(8 pts) 8. Evaluate dy if y = x^3 − 2 x^2 + 1, x = 2 and dx = 0.2. A. 0. 6 B. 0. 8 C. 1. 0 D. 1. 2 E. 1. 4

(8 pts) 11. Water is leaking out of an inverted conical tank at a rate of 10000 cm^3 /min. At the same time water is pumped into the tank at a constant rate of r cm^3 /min. The tank has height 12 m and the diameter of the top is 4 m. If water is rising at a rate of 20 cm/min when the height is 2 m, what is the constant rate r? A. 10000

[

1 − 36 π

]

cm^3 /min

B.

[

−10000 +^200009 π

]

cm^3 /min

C.

[

10000 − 8000009 π

]

cm^3 /min

D. 10000

[

1 +^209 π

]

cm^3 /min

E. 10000

[

1 + 36 π

]

cm^3 /min

(8 pts) 12. A light house is located on a small island, 4 km from the nearest point P on a straight shoreline, and its light makes 5 rotations per minute (10π rad/min). How fast is the beam of light moving along the shoreline when it is 2 km from P? A. 50 π km/min B. 200 π km/min C. 20 π km/min D. (20√5)π km/min E. (40√5)π km/min