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Math 1016 Final Exam: Common Part, Exams of Trigonometry

The instructions and questions for the common part of the final exam for math 1016. The exam covers topics such as calculus, derivatives, and graphs.

Typology: Exams

2012/2013

Uploaded on 02/12/2013

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Form A
Math 1016 Common Part of Final Exam May 3, 2002
INSTRUCTIONS: Please enter your NAME, ID NUMBER, FORM designation, and
CRN on your op scan sheet. The CRN should be written in the upper right-hand box
labeled "Course." Do not include the course number. In the box labeled "Form," write
the appropriate test form letter shown above. Darken the appropriate circles below your
ID number and Form designation. Use a #2 pencil.
Mark your answers to the test questions in rows 1-20 of the op-scan sheet. You have 1
hour to complete this part of the final exam. Your score on this part of the final exam will
be the number of correct answers. Turn in the op scan sheet with your answers and the
question sheets, including this cover page, at the end of this part of the final exam. Any
additional parts of the exam will begin after all students have completed this common
part.
Exam Policies: You may not use a book, notes, formula sheet, or a calculator or
computer. Giving or receiving unauthorized aid is an Honor Code Violation.
Signature_________________________________________
Name (printed)_____________________________________
Student ID #_______________________________________
pf3
pf4
pf5
pf8
pf9
pfa

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Download Math 1016 Final Exam: Common Part and more Exams Trigonometry in PDF only on Docsity!

Form A

Math 1016 Common Part of Final Exam May 3, 2002

INSTRUCTIONS: Please enter your NAME, ID NUMBER, FORM designation, and

CRN on your op scan sheet. The CRN should be written in the upper right-hand box

labeled "Course." Do not include the course number. In the box labeled "Form," write

the appropriate test form letter shown above. Darken the appropriate circles below your

ID number and Form designation. Use a #2 pencil.

Mark your answers to the test questions in rows 1-20 of the op-scan sheet. You have 1

hour to complete this part of the final exam. Your score on this part of the final exam will

be the number of correct answers. Turn in the op scan sheet with your answers and the

question sheets, including this cover page, at the end of this part of the final exam. Any

additional parts of the exam will begin after all students have completed this common

part.

Exam Policies: You may not use a book, notes, formula sheet, or a calculator or

computer. Giving or receiving unauthorized aid is an Honor Code Violation.

Signature_________________________________________

Name (printed)_____________________________________

Student ID #_______________________________________

  1. The temperature in Blacksburg one morning is recorded every half hour and tabulated below. Time 6 : 00 6 : 30 7 : 00 7 : 30 8 : 00 8 : 30 9 : 00 Temperature H Î FL 32 37 41 49 56 58 63 Based on the data, which one of the following gives the best estimate of the rate of change of the temperature at 7:30? (a) 7.5 degrees per hour (b) 10.3 degrees per hour (c) 15 degrees per hour (d) 45 degrees per hour
  2. Find the derivative of g H x L = cosH 2 x^3 L. (a) - sinH 6 x^2 L (b) - sinH 6 x L (c) - sinH 2 x^3 L ÿ 6 x (d) - sinH 2 x^3 L ÿ 6 x^2

3. The equation of the tangent line to the graph of y = ÅÅÅÅ^2 x at the point where x = -2 is

(a) y = - 2 x - 2 (b) y = - 2 x - 4 (c) y = - ÅÅÅÅ^12 x - 1 (d) y = - ÅÅÅÅ^12 x - 2

  1. Select the graph that has exactly one critical point and exactly two inflection points.

x

Plot cy

x

Plot dy

x

Plot ay

x

Plot by

(a) Plot a (b) Plot b (c) Plot c (d) Plot d

  1. The functions f H t L = e^12 t^ and g H t L = a t^ are equal to each other if (a) ea^ = 12 (b) 12 = ln a (c) a = ln 12 (d) a = 12 e
  1. A revolving door at an entrance to Burke Johnston Center on campus moves in a counterclockwise direction. It has three equally spaced door panels that rotate inside the cylindrical frame shown below. The six points labelled A , B , C , D , E , F are equally spaced around the cylindrical frame as position points.

D

A

B F

C E

Outside

Inside When the door is initially in the position shown, a student coming inside rotates the outward-pointing panel (at position A ) to B and continues counterclockwise until this panel reaches position E. Through what angle in radians did the door rotate?

(a) ÅÅÅÅÅÅÅÅ^23 p

(b) ÅÅÅÅÅÅÅÅ^56 p

(c) ÅÅÅÅÅÅÅÅ^76 p

(d) ÅÅÅÅÅÅÅÅ^43 p

  1. Use the tables below to determine which one of the functions below, f , g , p , or q , is linear. x 1 f ( x ) 2 g ( x ) 1 p ( x )2 4 q ( x ) 1 35 - 3- 8 36 1 2 6 26 7 - 1 3 1 0 3 2 4 (a) f H x L (b) g H x L (c) p H x L (d) q H x L
  1. Changes in the water level in a reservoir are recorded over a one-year period. The level in feet is given by a function, h H t L, where t is the time in months, beginning with t = 0 on January 1. The graph below shows the rate of change in the height, which is given by the derivative, h £^ H t L.
      1. 4
      1. 2

0

  1. 2

  2. 4

  3. 6

0 2 4 6 8 1 0 1 2

time t (months)

Rate

of Change

(feet

per

m o n t h )

At which time of the year does the water level reach a maximum? (Reminder: the graph shows the rate of change of the height, not the height itself.) (a) March 15 ( t = 2.5 ) (b) June 1 ( t = 5 ) (c) September 15 ( t = 8.5 ) (d) December 31 ( t = 12)

  1. The quantity, Q mg, of nicotine in the body t minutes after a cigarette is smoked is given by Q = g H t L. Which one of the following statements best interprets the equation g £^ H 10 L = -0.005? (a) There is 10 mg of nicotine remaining in the body 0.005 minutes after a cigarette is smoked. (b) The body will lose approximately 0.005 mg of nicotine as time passes from 10 to 11 minutes. (c) The rate at which time is passing at the instant 10 minutes after a cigarette is smoked is-0.005 minutes per mg of nicotine. (d) There is 0.005 mg of nicotine remaining in the body 10 minutes after a cigarette is smoked.
  1. A set of data is tabulated below. x - 3 - 2 - 1 0 1 2 3 y 64 41 33 30 22 10 - 10 Which one of these four statements describes a function y = f H x L that would fit the data? (a) f ≥^ H x L is positive for all x. (b) f ≥^ H x L is negative for all x. (c) f ≥^ H x L is negative when x is negative and f ≥^ H x L is positive when x is positive. (d) f ≥^ H x L is positive when x is negative and f ≥^ H x L is negative when x is positive.
  2. An old tire with a stone stuck in the treads rolls along a level road. The height of the stone above the ground at any time, t , in seconds, is given by f H t L = -15 cos H ÅÅÅÅÅÅÅÅ^2 3 p t L + 15. How many revolutions does the stone make in 60 seconds? (a) 4 (b) 15 (c) 20 (d) 30
  1. Below are the graphs of four functions.

-10 -5^5

Graph of hHxL

-10 -5 5 10

Graph of rHxL

Graph of fHxL

Graph of gHxL

Which one of the statements below is possibly true? (a) g H x L is the derivative of h H x L. That is, g H x L = h £^ H x L (b) h H x L is the derivative of g H x L. That is, h H x L = g £^ H x L (c) f H x L is the derivative of g H x L. That is, f H x L = g £^ H x L (d) r H x L is the derivative of h H x L. That is, r H x L = h £^ H x L