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### Akos_M101_10prac1_sollutionspdf

Course: MATH MATH100, Spring 2010
School: UBC
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Word Count: 704

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MATH SOLUTIONS 101 - PRACTICE MIDTERM I Problem I. (12 pts) Short answer questions. Here you only need to give the correct answer no detailed explanations/ calculations are needed to support your answer. (a) (2 pts) sin3 x cos2 x dx = 0 SOLUTION: Use symmetry: sin (x) = sin x, cos (x) = cos x, thus f (x) = f (x), where f (x) = sin3 x cos2 x is the integrand. Since the range of integration [, ] is symmetric...

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UBC - MATH - MATH100
Write your Class ID inside this box.MATHEMATICS 101, Section 202 Midterm #1, February 6, 2008 Calculators are not allowed. Show all your work. Use backs of pages if necessary. Unless otherwise indicated, simplification of answers is not necessary. Check
UBC - MATH - MATH100
Write your Class ID inside this box.MATHEMATICS 101, Section 202 Midterm #1, February 6, 2008 Calculators are not allowed. Show all your work. Use backs of pages if necessary. Unless otherwise indicated, simplification of answers is not necessary. Check
UBC - MATH - MATH100
Write your Class ID inside this box.MATHEMATICS 101, Section 202 Midterm #2, March 18, 2008 Calculators are not allowed. Show all your work. Use backs of pages if necessary. Unless otherwise indicated, simplification of answers is not necessary. Check to
UBC - MATH - MATH100
Write your Class ID inside this box.MATHEMATICS 101, Section 202 Midterm #2, March 18, 2008 Calculators are not allowed. Show all your work. Use backs of pages if necessary. Unless otherwise indicated, simplification of answers is not necessary. Check to
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
Math 101 - Section 208 - Practice Midterm #2Instructor: Michael Lindstrom March 8, 20101 (15 marks: 3 marks each part) a Findex 9+e2x dx. b Find the average value of y = sin( x) on the interval [0, 2 ]. Hint: start with a substitution. c Plot the pola
UBC - MATH - MATH100
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #1 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Section 5.1 Problems 5, 11, 15, 19, 22 Section 5.2 Problems 5, 10, 19, 21, 28, 29, 37, 43, 47, 56, 61, 70Due on Tuesday January 1
UBC - MATH - MATH100
Solution to HW1Page 1Solution to HW1Page 2Solution to HW1Page 3Solution to HW1Page 4
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #2 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Section 5.3 Problems 3, 9, 12, 15, 25, 28, 29, 39, 52, 56, 59, 63, 65, 74 Section 5.4 Problems 3, 6, 11, 23, 25, 30, 35, 39, 44, 5
UBC - MATH - MATH100
Solution to HW2Page 1Solution to HW2Page 2Solution to HW2Page 3Solution to HW2Page 4Solution to HW2Page 5
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #3 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Section 6.1 Problems 1, 4, 5, 9, 13, 16, 19, 24, 25, 26, 31, 33, 45, 50 Section 6.2 Problems 3, 7, 10, 11, 13, 16, 23, 24, 27, 34,
UBC - MATH - MATH100
Math 152, Spring 2010 Assignment #11Notes: Each question is worth 5 marks. Due in class: Wednesday, April 7 for MWF sections; Tuesday, April 6 for TTh sections. Solutions will be posted Wednesday, April 7 in the afternoon. No late assignments will be acc
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #4 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Section 6.4 Problems 4, 7, 11, 9, 13, 16, 19, 24, 25, 26, 31, 33, 45, 50 Problems Plus, Chapter 6: Problems : 6, 12For practice o
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #7 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Write down the initials of your last name on the top right corner of your papers. Section 7.3 Problems 4, 16, 18, 28, 29, 30, 34, 3
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #8 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Write down the initials of your last name on the top right corner of your papers. Section 7.7 Problems 16, 20, 22, 28, 34, 46 Sect
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #9 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Write down the initials of your last name on the top right corner of your papers. Section 8.1 Problems 16, 18, 32 Section 8.3 Prob
UBC - MATH - MATH100
HOMEWORK ASSIGNMENT #10 MATH101.209 - INTEGRAL CALCULUSAll the assignments are from the textbook, unless otherwise specied. Write down the initials of your last name on the top right corner of your papers. Section 9.1 Problems 2, 3, 12 Section 9.3 Probl
UBC - MATH - MATH100
UBC - MATH - MATH100
Solutions to HW 8Page 1Solutions to HW 8Page 2Solutions to HW 8Page 3Solutions to HW 8Page 4Solutions to HW 8Page 5
UBC - MATH - MATH100
Solution to HW 9Page 1Solution to HW 9Page 2Solution to HW 9Page 3
UBC - MATH - MATH100
HW10-solutionsPage 1HW10-solutionsPage 2HW10-solutionsPage 3HW10-solutionsPage 4HW10-solutionsPage 5HW10-solutionsPage 6
UBC - MATH - MATH100
Name:April 2006 Marks [33] 1. Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for a correct answer placed in the
UBC - MATH - MATH100
Name:April 2007 Marks [33] 1. Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the b
UBC - MATH - MATH100
Name:April 2008 Marks [21] 1. Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the b
UBC - MATH - MATH100
Marks [3]1. Short-Answer Questions. Put your answers in the boxes provided but show your work also. Each question is worth 3 marks, but not all questions are of equal diculty. At most one mark will be given for an incorrect answer. Unless otherwise state
UBC - MATH - MATH100
UBC - MATH - MATH100
UBC - MATH - MATH100
Be sure that this examination has 11 pages including this coverThe University of British Columbia Sessional Examinations - April 2007 Mathematics 101 Integral Calculus with Applications to Physical Sciences and Engineering Closed book examination Time: 2
UBC - MATH - MATH100
April 2008 Marks [21] 1.Mathematics 101Page 2 of 11 pagesShort-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal diculty. Full marks will be given for corre
UBC - MATH - MATH100
The University of British Columbia Final Examination - April 24, 2009 Mathematics 101 All Sections Closed book examination Last Name First Signature Section : Student Number Instructor : Special Instructions: No books, notes, or calculators are allowed. U
UBC - MATH - MATH100
Be sure that this examination has 12 pages including this coverThe University of British Columbia Sessional Examinations - April 2005 Mathematics 101 Integral Calculus Closed book examination Time: 2.5 hoursPrint NameStudent NumberSignatureInstructor
UBC - MATH - MATH100
Be sure that this examination has 11 pages including this coverThe University of British Columbia Sessional Examinations - April 2006 Mathematics 101 Integral Calculus Closed book examination Time: 2.5 hoursPrint NameStudent NumberSignatureInstructor
UBC - MATH - MATH100
PROBLEM 8-3, page 401 (See Problem 8-3. jpg) A horizontal force of P = 100 N is just sufficient to hold the crate from sliding down the plane, and a horizontal force of P = 350 N is required to just push the crate up the plane. Determine the coefficient o
UBC - MATH - MATH100
PROBLEM 12-92, page 48 (See Problem 12-92. jpg) Water is discharged from the hose with a speed of 40 ft/s. Determine the two possible angles ! the fireman can hold the hose so that the water strikes the building at B. Take s = 20 ft.PROBLEM 12-110, page
UBC - MATH - MATH100
Problem 12-110 (page 54) COMPLETION OF PROBLEM 12-110 The trajectory equation isy( x) = a( x ! x0 )2 + b( x ! x0 ) + y0wherea=!g 2v 2 cos2 &quot; 0 0b = tan!0When !0 = 25! , ( x0 , y0 ) = (0, 4 ) ft and ( x, y) = (80, ! 60) ft , it follows that:9.81(80)
UBC - MATH - MATH100
Problems 12-206 and 12-207 (page 96) COMPLETION OF PROBLEMS 12-206 AND 12-207 The rope equation is:l1 + l2 + l3 + l4 = constant The path equations are:l1 + constant = sA l2 + constant = sB l3 + constant = s B l4 + constant = sC Adding the four path eq
UBC - MATH - MATH100
Problem 12-208 (page 96) COMPLETION OF PROBLEM 12-208 Rope equations:l1 + l2 + l3 = constant l4 + l5 = constant l6 + l7 = constant Path equations:l1 + constant = sA l2 + l4 + l6 + constant = sE l3 + l4 + l6 + constant = sE l5 + l6 + constant = sE l7 +
UBC - MATH - MATH100
PROBLEM 13-27, page 126 (See Problem 13.27. jpg) Determine the required mass of block A so that when it is released from rest it moves the 5 kg block B a distance of 0.75 m up the smooth inclined plane in t = 2 s. Neglect the mass of the pulleys and cords
UBC - MATH - MATH100
PROBLEM 14-13, page 186 (See Problem 14-13. jpg) Determine the velocity of the 60 lb block A if the two blocks are released from rest the 40 lb block B moves 2 ft up the incline. The coefficient of kinetic frictions between both blocks and the inclined pl
UBC - MATH - MATH100
PROBLEM 2-40, page 40 (See Problem 2-40. jpg) Determine the magnitude and direction measured counterclockwise from the positive x-axis of the resultant force of the three forces acting on the ring A. Take F = 500 N and ! = 20o.PROBLEM 2-57, page 42 (See
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Emory - MATHCS - Math 316
Math 361, Problem Set 1August 27, 20101. (1.2.9) If C1 , C2 , C3 , . . . are sets such that Ck Ck+1 , k = 1, 2, 3, . . . , , we dene limk Ck as the intersection k=1 Ck = C1 C2 . . . . Find limk Ck for the following, and draw a picture of a typical Ck on
Emory - MATHCS - Math 316
Math 361, Problem Set 1 SolutionsSeptember 10, 20101. (1.2.9) If C1 , C2 , C3 , . . . are sets such that Ck Ck+1 , k = 1, 2, 3, . . . , , we dene limk Ck as the intersection k=1 Ck = C1 C2 . . . . Find limk Ck for the following, and draw a picture of a
Emory - MATHCS - Math 316
Math 361, Problem Set 2September 3, 2010Due: 9/13/10 1. (1.3.11) A bowl contains 16 chips, of which 6 are red, 7 are white and 3 are blue. If four chips are taken at random and without replacement, nd the probability that (a) each of the 4 chips is red
Emory - MATHCS - Math 316
Math 361, Problem Set 2September 17, 2010Due: 9/13/10 1. (1.3.11) A bowl contains 16 chips, of which 6 are red, 7 are white and 3 are blue. If four chips are taken at random and without replacement, nd the probability that (a) each of the 4 chips is red
Emory - MATHCS - Math 316
Math 361, Problem set 3Due 9/20/10 1. (1.4.21) Suppose a fair 6-sided die is rolled 6 independent times. A match occurs if side i is observed during the ith trial, i = 1, . . . , 6. (a) What is the probability of at least one match during on the 6 rolls.
Emory - MATHCS - Math 316
Math 361, Problem set 3Due 9/20/10 1. (1.4.21) Suppose a fair 6-sided die is rolled 6 independent times. A match occurs if side i is observed during the ith trial, i = 1, . . . , 6. (a) What is the probability of at least one match during on the 6 rolls.
Emory - MATHCS - Math 316
Math 361, Problem set 4Due 9/20/10 1. (1.4.26) Person A tosses a coin and then person B rolls a die. This is repeated independently until a head or one of the numbers 1, 2, 3, 4 appears, at which time the game is stopped. Person A wins with the head, and