# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

2 Pages

### prac2

Course: MATH 115, Fall 2009
School: UConn
Rating:

Word Count: 685

#### Document Preview

[12 1. pts.] In 1910 the population of Mars was about 12 million and growing at 3.5% annually. (a) Write an expression for the function f(t) that gives the population of Mars, in millions, t years after 1910. (b) Find the rate of growth, in people/year, of the population of Mars in 1915. 2. The dierentiable function g has the following properties: g(2) = 5, g (2) = 3, g(0) = 2, g (0) = 4. Show your work below....

Register Now

#### Unformatted Document Excerpt

Coursehero >> Connecticut >> UConn >> MATH 115

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
[12 1. pts.] In 1910 the population of Mars was about 12 million and growing at 3.5% annually. (a) Write an expression for the function f(t) that gives the population of Mars, in millions, t years after 1910. (b) Find the rate of growth, in people/year, of the population of Mars in 1915. 2. The dierentiable function g has the following properties: g(2) = 5, g (2) = 3, g(0) = 2, g (0) = 4. Show your work below. (a) If f(x) = ln(g(x)), nd f (2). 3. Find the slope of the curve xy + y2 = 1 at the point (0,1). 4. Consider the table of values for the function f: x 0 20 40 60 80 100 f(x) 1.2 2.8 4.0 3.2 5.1 5.2 100 Give upper and lower estimates to the value of the integral c f(x) dx. Show your work. 0 5. Find the number c for which 1 6 dx = 2. x2 1 6. Evaluate the indenite integral (1 + sin x 2ex ) dx. 7. Use the tangent approximation to estimate (7.88) 3 . 1 8. The function f is dened on (, 0) (0, ) and has derivative f (x) = x x . (a) Find the intervals on which f is increasing and those on which f is decreasing. (b) Find the intervals on which f is concave up and those on which f is concave down. 8 9. Determine the equation of the line tangent to the curve y3 + y = xy + x + 2 at the point ( 3 , 2). 10. The point A moves along the x-axis at constant rate of 4 ft/sec. while a second point B moves along the y-axis at a constant rate of 2 ft/sec. Find how fast the distance between the points is changing when A is (3,0) and B is (0,4). 11. A serindiptogon is a solid gure whose surface area S and volume V, determined by the radius r and 2 the height h, are S = 6 hr + h2 3h and V = rh2 . You want to build one of these things with a xed volume V = 100. Find the dimensions r and h that minimize the surface area. 12. The acceleration of gravity is -32 ft/sec. A stone is dropped from a height 100ft. of What is its velocity when it hits the ground? 5 13. Find the antiderivative ( 7 + sec2 x 3 sin x)dx. x 14. An elevator moves with velocity v(t) = 2t3 3t2 36t + 1 at time t. (a) Find an expression for the acceleration a(t) at time t. (b) At what times between t = 0 and t = 4 is the velocity increasing? (c) What is the change in position of the elevator between times t = 0 and t = 4? (d) What is the total distance traveled by the elevator between times t = 0 and t = 4? cos x 15. Find the derivative h (x) of the function h(x) = 1 t4 dt. 16. Find the area of the region bounded by the curve x = 0, x = 2, y = (x 1)3 + 1 and the x-axis. x 17. Let g(x) = 1 f(t)dt where the graph of the function f is illustrated below. Something p.w. linear so the regions divide nicely into rectangles and triangles (a) Find g(1)= (b) g(2)= (c) g(6)= (d) On what interval is g increasing? (e) Where does g have a maximum? (f ) Find g(2.5)= (g) g(4)= 18. (5 pts) Dene precisely what it means for a function to be continuous at x = a. 2x 5 if x 1 19. (14 pts) Let f(x) = x2 if ...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

SUNY Geneseo - ASSIGNMENT - 358
engl 358 Major Authors: Melville Rutkowski web posts portfolio Due: on or before Thursday, April 28, in class What to do: 1) visit http:/www.geneseo.edu/~rutkowsk/bb/ 2) click on your user id anywhere it appears as a blue hyperlink. Your viewing profile s
ogi.edu - L - 270
LING 270Language, Technology and Society Unit 4Richard SproatURL: http:/catarina.ai.uiuc.edu/L270/YiddishLinguistics 2702AkkadianLinguistics 2703Cuneiform HittiteLinguistics 2704HeterogramsLinguistics 2705Manx Gaelic SpellingLinguistics 2
ogi.edu - L - 270
Allan Hancock College - STAT - 300
School of Mathematics, Statistics and Computer Science University of New EnglandR - Statistical and Graphical Software NotesR Murison, rmurison@mcs.une.edu.au Printed at the University of New England, June 18, 2003Chapter 1 IntroductionThese notes are
ogi.edu - L - 270
LING 270Language, Technology and Society Unit 1Richard SproatURL: http:/catarina.ai.uiuc.edu/L270/Overview of Course Writing Printing Language and speech technology: Speech synthesis (talking machines) Speech recognition Language translation Societ
CUNY Baruch - WEB - 7501
11Chapter 11: Localization and Map Making a. Occupancy Grids b. Evidential Methods c. ExplorationOverivew Occupancy Grids Sonar Models Bayesian Updating Dempster-Shafer HIMM Localization ARIEL Exploration Frontier-based GVG Summary11Objectives Descri
Fayetteville State University - MAILER - 5400
EDF 5400Albert Oosterhof Summer 2002 Syllabus.Lectures and Labs. Purpose Lecture meets.Lab meets Tuesday or Thursday. Tuesdays/Thursdays, 1:30 to 3 pmLabs not interchangeable Section 1: Tuesdays 12:30 to 1:20 pm Section 2: Thursdays 12:30 t
Duke - CS - 731
%!PS-Adobe-2.0 %Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %Title: paper.dvi %Pages: 35 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips paper %DVIPSParameters: dpi=600, compressed, comments removed %
Holy Apostles - EE - 101
TMFree Guide to Electronics SolderingTable of ContentsSafety Glasses Solder Tools 2 2Solder and Fluxes Typical Solder Joints on PCBs4 6Hand Soldering Techniques7Trimming Component Leads101ApogeeKits Free Guide to Electronics SolderingA FREE gu
Montana - EE - 101
ASSEMBLINGtheECEbotPrinted Circuit Board: Part OneDue Date The Part One assembly steps must be completed prior to:Prepared by R.C. Maher September 2007 Copyright 2007 Department of Electrical and Computer Engineering, Montana State University All Rig
Montana - EE - 101
EE 101 Lab #10Spring 2007Date: Name:Lab Section #Control and Motion Sequencing AbstractPartner: NO PARTNERS THIS WEEKThe ECEbot microcontroller has been pre-programmed for some simple motion control strategies. For example, you have seen how the bum
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 12 (the last one!) Due Thursday Dec 9 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on you
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 10 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 8 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 7 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 6 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 5 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 4 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 - Midterm Exam #3 November 18, 2004 Name Student Number Instructions. Complete all parts of all questions on this exam. This exam is closed notes/text and you may not consult any other resources. The time allotted for this exam is 70 minutes. If y
CSU San Marcos - ECON - 201
Eco 201 - Monchuk Homework Assignment 3 Instructions : Complete the following questions and turn in your solutions at the end of the class lecture on the date due. Remember to include your name and student number on your submitted document. The due date f
CSU San Marcos - ECON - 201
Eco 201 Study questions for nal exam 1. Denitions: (a) Production Possibilities frontier (b) Opportunity cost (c) Ination (d) Economics (e) The unemployment rate (f) a discouraged worker (g) frictional unemployment (h) structural unemployment (i) absolute
CSU San Marcos - ECON - 201
Eco 201 - Midterm Exam #2 September 21, 2004 Name Student Number Instructions. Complete all parts of all questions on this exam. This exam is closed notes/text and you may not consult any other resources. The time allotted for this exam is 70 minutes. If
CSU San Marcos - ECON - 201
Eco 201 Study questions for exam #3 1. Definitions: (a) Aggregate Supply curve (b) Productivity (c) Stagflation (d) recessionary gap (e) inflationary gap (f) the investment multiplier (g) induced increase in consumption (h) autonomous increase in consumpt
CSU San Marcos - ECON - 201
CSU San Marcos - ECON - 201
Economics (ECO) 201: Principles of Economics - Introductory MacroeconomicsProfessor: Daniel C. Monchuk Office: CBA 312-E Office Telephone: 266-6094 Email: daniel.monchuk@usm.edu Course Home Page: http:/ocean.otr.usm.edu/~w540267/econ201/ Office Hours: We
Stanford - LINGUIST - 187
LFGGenerationProducesContext-freeLanguagesRonald M. Kaplan Xerox Pale Alto Research Center 3333 Coyote Hill Road Pale Alto, California 94304 U S A kaplan(@parc.xerox.comJ/irgen Wedekind Center for L a n g u a g e Technology Njalsgade 802 3 0 0 C o
Stanford - LINGUIST - 187
The Interface b e t w e e n Phrasal and Functional ConstraintsJohn T. Maxwell III*Xerox Palo Alto Research CenterRonald M. Kaplan tXerox Palo Alto Research CenterMany modern grammatical formalisms divide the task of linguistic specification into a co
Stanford - LINGUIST - 187
%!PS-Adobe-2.0 %Creator: dvips(k) 5.78 Copyright 1998 Radical Eye Software (www.radicaleye.com) %Title: hlebook.dvi %Pages: 55 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBX12 CMR12 CMBX10 CMR9 CMSY9 CMTI9 CMR8 CMSY6 CMSS8 %+ CMTT8 CMTI
Virgin Islands - SENG - 265
directive := &quot;\#&quot; &quot;doctest:&quot; directive_options directive_options := directive_option (&quot;,&quot; directive_option)* directive_option := on_or_off directive_option_name on_or_off := &quot;+&quot; | &quot;-&quot; directive_option_name := &quot;DONT_ACCEPT_BLANKLINE&quot; |
CSU Fresno - PQR - 235
Stanford - SYMBSYS - 202
Quartz The constructivist brainReviewvolumetric analysis based on three-dimensional reconstructions of magnetic resonance scans of human and ape brains J. Hum. Evol. 32, 375388 46 Deacon, T.W. (1997) What makes the human brain different? Annu. Rev. Anth
Drexel - CS - 571
Design and Implementation*Objective: To design and implement a program for a relatively small yet reasonably complicated problem. To introduce and review a variety of implementation languages and to have students review the pros and cons of different imp
DeVry Cincinnati - SBOA - 092
Application ReportSBOA092A October 2001HANDBOOK OF OPERATIONAL AMPLIFIER APPLICATIONSBruce Carter and Thomas R. Brown ABSTRACT While in the process of reviewing Texas Instruments applications notes, including those from Burr-Brown I uncovered a couple
National Taiwan University - FIN - 726
Finance 726 Midterm 2Fall 2003Professor Helwege Instructor DamselYou have the entire class period to finish this quiz. You may use a calculator, scrap paper, and a writing tool to complete the test. You may hand in the scrap paper (with your name on it
National Taiwan University - FIN - 726
Finance 726 Midterm 1Professor Helwege Instructor Damsel Fall, 2003You have the entire class period to finish this exam. You may use a calculator, scrap paper, and a writing tool to complete this exam. You may hand in the scrap paper (with your name on
Virgin Islands - SENG - 265
import xml.dom.minidomdocument = &quot;\&lt;slideshow&gt;&lt;title&gt;Demo slideshow&lt;/title&gt;&lt;slide&gt;&lt;title&gt;Slide title&lt;/title&gt;&lt;point&gt;This is a demo&lt;/point&gt;&lt;point&gt;Of a program for processing slides&lt;/point&gt;&lt;/slide&gt;&lt;slide&gt;&lt;title&gt;Another demo slide&lt;/title&gt;&lt;point&gt;It is
Virgin Islands - SENG - 265
BaseException +- SystemExit +- KeyboardInterrupt +- Exception +- GeneratorExit +- StopIteration +- StandardError | +- ArithmeticError | | +- FloatingPointError | | +- OverflowError | | +- ZeroDivisionError | +- AssertionError | +- AttributeErr
Virgin Islands - SENG - 265
from datetime import tzinfo, timedelta, datetimeZERO = timedelta(0)HOUR = timedelta(hours=1)# A UTC class.class UTC(tzinfo): &quot;UTC&quot; def utcoffset(self, dt): return ZERO def tzname(self, dt): return &quot;UTC&quot; def dst(self, dt): return ZEROutc = UTC(
Virgin Islands - SENG - 265
#include &lt;Python.h&gt;typedef struct cfw_ PyObject_HEAD /* Type-specific fields go here. */ noddy_NoddyObject;static PyTypeObject noddy_NoddyType = cfw_ PyObject_HEAD_INIT(NULL) 0, /*ob_size*/ &quot;noddy.Noddy&quot;, /*tp_name*/ sizeof(noddy_NoddyObject), /*
Virgin Islands - SENG - 265
#include &lt;Python.h&gt;intmain(int argc, char *argv[])cfw_ PyObject *pName, *pModule, *pDict, *pFunc; PyObject *pArgs, *pValue; int i; if (argc &lt; 3) cfw_ fprintf(stderr,&quot;Usage: call pythonfile funcname [args]\n&quot;); return 1; Py_Initialize(); pName
San Diego State - BUS - 315
Consumer Cash Loan CreditWhen consumers obtain retail credit, they get goods or services, which they then pay for over time along with a finance charge. When consumers obtain cash credit, they get cash, which they then pay back over time along with a fin
Virgin Islands - SENG - 265
import sqlite3con = sqlite3.connect(&quot;:memory:&quot;)cur = con.cursor()cur.executescript(&quot; create table person( firstname, lastname, age ); create table book( title, author, published ); insert into book(title, author, published) values ( 'Dirk
Virgin Islands - SENG - 265
import sqlite3def char_generator(): import string for c in string.letters[:26]: yield (c,)con = sqlite3.connect(&quot;:memory:&quot;)cur = con.cursor()cur.execute(&quot;create table characters(c)&quot;)cur.executemany(&quot;insert into characters(c) values (?)&quot;, char_gene
Virgin Islands - SENG - 265
import sqlite3class IterChars: def _init_(self): self.count = ord('a') def _iter_(self): return self def next(self): if self.count &gt; ord('z'): raise StopIteration self.count += 1 return (chr(self.count - 1),) # this is a 1-tuplecon = sqlite3.co
Virgin Islands - SENG - 265
&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;&lt;Error&gt;&lt;Code&gt;NoSuchKey&lt;/Code&gt;&lt;Message&gt;The specified key does not exist.&lt;/Message&gt;&lt;Key&gt;a25989ba731bad10f02b10fc951372514f0ef3cb.txt&lt;/Key&gt;&lt;RequestId&gt;C23F03F98475C390&lt;/RequestId&gt;&lt;HostId&gt;OR2cxNq/t8xz1/0xohMybw3S2NWIVEW4J
Virgin Islands - SENG - 265
import sqlite3con = sqlite3.connect(&quot;:memory:&quot;)cur = con.cursor()# Create the tablecon.execute(&quot;create table person(lastname, firstname)&quot;)AUSTRIA = u&quot;\xd6sterreich&quot;# by default, rows are returned as Unicodecur.execute(&quot;select ?&quot;, (AUSTRIA,)row = c
Virgin Islands - SENG - 265
import sqlite3con = sqlite3.connect(&quot;mydb&quot;)cur = con.cursor()who = &quot;Yeltsin&quot;age = 72cur.execute(&quot;select name_last, age from people where name_last=? and age=?&quot;, (who, age)print cur.fetchone()
Virgin Islands - SENG - 265
import sqlite3def dict_factory(cursor, row): d = cfw_ for idx, col in enumerate(cursor.description): d[col[0] = row[idx] return dcon = sqlite3.connect(&quot;:memory:&quot;)con.row_factory = dict_factorycur = con.cursor()cur.execute(&quot;select 1 as a&quot;)print c
Virgin Islands - SENG - 265
import sqlite3def collate_reverse(string1, string2): return -cmp(string1, string2)con = sqlite3.connect(&quot;:memory:&quot;)con.create_collation(&quot;reverse&quot;, collate_reverse)cur = con.cursor()cur.execute(&quot;create table test(x)&quot;)cur.executemany(&quot;insert into tes
Virgin Islands - SENG - 265
import sqlite3class MySum: def _init_(self): self.count = 0 def step(self, value): self.count += value def finalize(self): return self.countcon = sqlite3.connect(&quot;:memory:&quot;)con.create_aggregate(&quot;mysum&quot;, 1, MySum)cur = con.cursor()cur.execute(&quot;c
Virgin Islands - SENG - 265
import sqlite3import md5def md5sum(t): return md5.md5(t).hexdigest()con = sqlite3.connect(&quot;:memory:&quot;)con.create_function(&quot;md5&quot;, 1, md5sum)cur = con.cursor()cur.execute(&quot;select md5(?)&quot;, (&quot;foo&quot;,)print cur.fetchone()[0]
EC 301 Comparative Economic SystemsProfessor Elliott Parker Spring 2003Syllabus ReviewWebsite: http:/unr.edu/homepage/elliottp/ec301I.INTRODUCTION TO COMPARATIVE ECONOMIC SYSTEMSNot long ago, the world was divided into two seemingly monolithic syste
Harvard - CFA - 109
CSC-96-932-24Computer Sciences CorporationSKYMAP Requirements, Functional, and Mathematical SpecificationsVolume 3 Revision 3(SKYMAP SKY2000 Version 2 Master Catalog Format Specifications)August 1999Prepared for NATIONAL AERONAUTICS AND SPACE ADMINI
Michigan State University - MATH - 202
Michigan State University - MATH - 202
Michigan State University - MATH - 202
Names Math 202 Section 4Show your work in all problems.1 2 3 Total QUIZ 2 SOLUTIONS Jan 23, 20081. Tim is looking through the small hole of his toy periscope. Using reflected light rays show which part of the picture frame he can see (shade visible par
Michigan State University - MATH - 202
Geometric Constructions using Straightedge and CompassA geometric construction is an accurate drawing of a shape using only the following tools: 1. Straightedge: A ruler without markings on it. Can be used to draw straight lines. Can't be used for measur
Michigan State University - MATH - 202
Names Math 202 Section 4Show your work in all problems.1 2 3 Total QUIZ 4 SOLUTIONS Feb 4, 20081. Construct the following using straightedge and compass only. This means there should be no guessing involved, only using measurable distances (with compas
Michigan State University - MATH - 202
Activity on Translations, Rotations and ReflectionsDo the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotate 90
Michigan State University - MATH - 202
Michigan State University - MATH - 202
Activity on Translations, Rotations and ReflectionsDo the following transformations starting with the initial location, and then continuing with the most recent location. 1) 2) 3) 4) Translate 5 units to the right Reflect along the dotted line Rotate 90