PATHWAYS TO MATH LITERACY- ACCESS CARD
2nd Edition
ISBN: 9781260189261
Author: sobecki
Publisher: MCG
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Textbook Question
Chapter 2, Problem 16LSR
Carefully read through the list of terminology we’ve used in Unit 2. Consider circling the terms you aren’t familiar with and looking them up. Then test your understanding by using the list to fill in the appropriate blank in each sentence.
area
change
compound inequality
constant
conversion factor
dependent variable
dimensional analysis
empirical rule
equation
equivalent
error
estimation
evaluate
expected value
expression
fair game
formula
future value
greater than
greater than or equal to
independent variable
inequality
input
interest rate
less than
less than or equal to
mean
median
mode
output
percent error
principal
range
rate
relative change
standard deviation
time
unit rate
variable
volume
weighted scale
Two expressions that would give you the same output no matter what input you choose would be considered _______________ expressions.
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Chapter 2 Solutions
PATHWAYS TO MATH LITERACY- ACCESS CARD
Ch. 2.1 - Fill in each blank. a. 120isof500. b. 11isof20. c....Ch. 2.1 - Perform each calculation. Convert fractions to...Ch. 2.1 - Put this list in order from least to greatest....Ch. 2.1 - There are three different measures that well study...Ch. 2.1 - There are three different measures that well study...Ch. 2.1 - There are three different measures that well study...Ch. 2.1 - The spreadsheet summarizes the results for one...Ch. 2.1 - The spreadsheet summarizes the results for one...Ch. 2.1 - The spreadsheet summarizes the results for one...Ch. 2.1 - The spreadsheet summarizes the results for one...
Ch. 2.1 - The spreadsheet summarizes the results for one...Ch. 2.1 - Compute the other two measures of average, then...Ch. 2.1 - Find the other two measures of average, and...Ch. 2.1 - How many total points can be earned in the course?Ch. 2.1 - What percentage of the total score is accounted...Ch. 2.1 - If you dont show up for the first exam and take a...Ch. 2.1 - What would your final percentage be if you score...Ch. 2.1 - Try this problem to see if you understand the...Ch. 2.1 - Suppose that the instructor who wrote the test in...Ch. 2.1 - Suppose that the instructor who wrote the test in...Ch. 2.1 - Type a short answer to each question. Describe the...Ch. 2.1 - Name...Ch. 2.1 - Name...Ch. 2.1 - Name...Ch. 2.1 - Name...Ch. 2.2 - Perform each operation a. 35 b. (2)6 c....Ch. 2.2 - Perform each operation a. 12+202 b. (4)(6)7 c....Ch. 2.2 - Perform each operation a. 20+2(94)2 b. 33242 c....Ch. 2.2 - Perform each operation a. ((801)3)2 b....Ch. 2.2 - Provide a couple more examples of where an input...Ch. 2.2 - What is a variable?Ch. 2.2 - Prob. 2CCh. 2.2 - Consider the following relationships, where one...Ch. 2.2 - If we wanted to know the cost of a 7-mile cab...Ch. 2.2 - Evaluate the cost formula for m=4, then attach...Ch. 2.2 - When using the formula A=P+Prt in a given...Ch. 2.2 - Now forget about formulas for a second, and...Ch. 2.2 - Now substitute the values provided in Question 5...Ch. 2.2 - Complete the table of values for your shiny new...Ch. 2.2 - Whats the value of the account after 2 years?Ch. 2.2 - How long does it take for the account to reach a...Ch. 2.2 - Evaluate this formula for P=10,000,t=40,andr=0.06....Ch. 2.2 - Write a formula that describes the value of an...Ch. 2.2 - Use a calculator or spreadsheet to complete this...Ch. 2.2 - Whats the value of this account after 20 years?Ch. 2.2 - To the nearest year, how long does it take the...Ch. 2.2 - Try this problem to see if you understand the...Ch. 2.2 - Try this problem to see if you understand the...Ch. 2.2 - Try this problem to see if you understand the...Ch. 2.2 - Name...Ch. 2.2 - Type a short answer to each question. What is a...Ch. 2.2 - Type a short answer to each question. When two...Ch. 2.2 - Type a short answer to each question. Describe the...Ch. 2.2 - Type a short answer to each question. How do the...Ch. 2.2 - If we were to find a formula that relates the...Ch. 2.2 - The formula D=R+0.05R2 describes the total...Ch. 2.2 - If youre driving at 25 miles per hour through a...Ch. 2.2 - How slow would you have to go in order to decrease...Ch. 2.2 - At the scene of an accident, a traffic...Ch. 2.2 - According to the U.S. Department of...Ch. 2.2 - What are some factors that would affect stopping...Ch. 2.3 - Add the quantities if possible, or describe why...Ch. 2.3 - If possible, rewrite the quantities so they can be...Ch. 2.3 - Perform each multiplication. a. 4y6y b. (4km)(6km)...Ch. 2.3 - To find the amount of simple interest earned,...Ch. 2.3 - The temperature in degrees Fahrenheit can be...Ch. 2.3 - Notice that each of the small boxes in the figure...Ch. 2.3 - When length is measured in inches, the correct...Ch. 2.3 - Use your answer from Question 1 to write a formula...Ch. 2.3 - This time, we have a three-dimensional figure made...Ch. 2.3 - When length is measured in centimeters, the...Ch. 2.3 - Use your answer from Question 4 to write a formula...Ch. 2.3 - My friend David Najar is an acclaimed artist. The...Ch. 2.3 - The volume of a cylindrical oil storage tank can...Ch. 2.3 - In Questions 9-13, perform each calculation. Then...Ch. 2.3 - In Questions 9-13, perform each calculation. Then...Ch. 2.3 - In Questions 9-13, perform each calculation. Then...Ch. 2.3 - In Questions 9-13, perform each calculation. Then...Ch. 2.3 - In Questions 9-13, perform each calculation. Then...Ch. 2.3 - Perform each multiplication. For parts a and b,...Ch. 2.3 - Use the formula P=a+b+c to find the perimeter of...Ch. 2.3 - Prob. 11CCh. 2.3 - Prob. 12CCh. 2.3 - Try this problem to see if you understand the...Ch. 2.3 - Try this problem to see if you understand the...Ch. 2.3 - Try this problem to see if you understand the...Ch. 2.3 - Type a short answer to each question. Why are...Ch. 2.3 - Type a short answer to each question. What does it...Ch. 2.3 - The calculation below is intended to find the...Ch. 2.3 - Find the fix needed to correct the mistake in the...Ch. 2.3 - Use your corrected formula to find the volume of...Ch. 2.3 - What percentage of the volume of the can is filled...Ch. 2.3 - After performing the division in Question 4, what...Ch. 2.3 - Racquetballs have a radius of about 2.8 cm. If...Ch. 2.3 - Golf balls also come in packages of three, but...Ch. 2.4 - Write each fraction in lowest terms. a. 1218 b....Ch. 2.4 - Write each fraction with the given denominator. a....Ch. 2.4 - Perform each operation, and reduce your answer if...Ch. 2.4 - Simplify each fractional expression by dividing...Ch. 2.4 - Use the table on the previous page to find an...Ch. 2.4 - Write two different conversion factors based on...Ch. 2.4 - There are two ways we could multiply our...Ch. 2.4 - What are the units for the other calculation? Do...Ch. 2.4 - So how many liters of magic potion are in the...Ch. 2.4 - According to our handy-dandy conversion chart, 1...Ch. 2.4 - Use one of the two conversion factors to convert...Ch. 2.4 - Now heres one of the great things about...Ch. 2.4 - My house is just about 15 miles from the Gulf of...Ch. 2.4 - Convert 0.44 L of love potion into dLandkL by...Ch. 2.4 - Dr. Phails potion also comes in a 0.75-gallon...Ch. 2.4 - According to the table of equivalences,...Ch. 2.4 - Use the idea from Question 11 to convert your...Ch. 2.4 - Based on what you just did, fill in the blank to...Ch. 2.4 - Explain what is meant when we say a car is...Ch. 2.4 - The entire 450mL of Dr. Phails Love Potion (from...Ch. 2.4 - Simplify the rate you wrote in Question 2 so that...Ch. 2.4 - It might seem like it would be really complicated...Ch. 2.4 - While in production, the love potion needs to be...Ch. 2.4 - Use the appropriate formula to convert 200F to...Ch. 2.4 - Use one of the two formulas provided to convert...Ch. 2.4 - Use a calculator or spreadsheet along with an...Ch. 2.4 - According to the online dosage guide for one brand...Ch. 2.4 - A dosage of 1,700 mg of cefadroxil is to be...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Try this problem to see if you understand the...Ch. 2.4 - Type a short answer to each question. Describe the...Ch. 2.4 - Type a short answer to each question. Whats a...Ch. 2.4 - Type a short answer to each question. Whats a...Ch. 2.4 - Type a short answer to each question. How can we...Ch. 2.4 - For Questions 1-5, use dimensional analysis with...Ch. 2.4 - For Questions 1-5, use dimensional analysis with...Ch. 2.4 - For Questions 1-5, use dimensional analysis with...Ch. 2.4 - For Questions 1-5, use dimensional analysis with...Ch. 2.4 - For Questions 1-5, use dimensional analysis with...Ch. 2.4 - Glaciers are large masses of ice that flow like...Ch. 2.4 - Glaciers are large masses of ice that flow like...Ch. 2.4 - Glaciers are large masses of ice that flow like...Ch. 2.4 - Glaciers are large masses of ice that flow like...Ch. 2.5 - Locate 40, 15, 15, 27, and 2 on the number line.Ch. 2.5 - The pie chart shows the distribution of grades on...Ch. 2.5 - The bar graph shows the number of students that...Ch. 2.5 - The scatter plot shows the final grades for all 31...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - This number line is a timeline of important...Ch. 2.5 - Now well practice estimation using a bar graph....Ch. 2.5 - Prob. 12CCh. 2.5 - Now well practice estimation using a bar graph....Ch. 2.5 - Now well practice estimation using a bar graph....Ch. 2.5 - Another type of graph that we often have to...Ch. 2.5 - Another type of graph that we often have to...Ch. 2.5 - In Questions 1922, write the statement as an...Ch. 2.5 - In Questions 1922, write the statement as an...Ch. 2.5 - In Questions 1922, write the statement as an...Ch. 2.5 - In Questions 1922, write the statement as an...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - An isotherm is a curve on a map that connects...Ch. 2.5 - Spend some time thinking about Questions 812....Ch. 2.5 - Spend some time thinking about Questions 812....Ch. 2.5 - Spend some time thinking about Questions 812....Ch. 2.5 - Spend some time thinking about Questions 812....Ch. 2.5 - Try this problem to see if you understand the...Ch. 2.5 - Try this problem to see if you understand the...Ch. 2.5 - Try this problem to see if you understand the...Ch. 2.5 - Try this problem to see if you understand the...Ch. 2.5 - Reflections Type a short answer to each question....Ch. 2.5 - Reflections Type a short answer to each question....Ch. 2.5 - Prob. 4RCh. 2.5 - According to a survey reported by the Nielsen...Ch. 2.5 - Write the set of described numbers using the...Ch. 2.5 - Shopping provides a really good example of the...Ch. 2.5 - Shopping provides a really good example of the...Ch. 2.5 - Shopping provides a really good example of the...Ch. 2.5 - Estimation is useful for tipping when youre dining...Ch. 2.5 - This graph shows the violent crime rate in 2014...Ch. 2.5 - This graph shows the violent crime rate in 2014...Ch. 2.5 - This graph shows the violent crime rate in 2014...Ch. 2.5 - This graph shows the violent crime rate in 2014...Ch. 2.6 - Convert each fraction into percent form. a. 1240...Ch. 2.6 - Find the area of a building made up of three...Ch. 2.6 - Using only the fact that 1yd=3ft, convert 10 cubic...Ch. 2.6 - Using only the fact that 12in.=1ft, convert 5,000...Ch. 2.6 - Find the relative change if you win $5,000,000 and...Ch. 2.6 - Compare the relative change for the two scenarios...Ch. 2.6 - Your instructor tells you that youre going to get...Ch. 2.6 - For Questions 4 and 5, write a sentence that...Ch. 2.6 - For Questions 4 and 5, write a sentence that...Ch. 2.6 - For Questions 6 and 7, write a statement using the...Ch. 2.6 - For Questions 6 and 7, write a statement using the...Ch. 2.6 - Suppose that $435 million is spent for...Ch. 2.6 - Suppose that only $440 million is budgeted for...Ch. 2.6 - A news article reports that this program has been...Ch. 2.6 - Write a sentence or two describing the 5.4% cut...Ch. 2.6 - When youre buying carpet, do you want an...Ch. 2.6 - Find the area of the bedroom only in square...Ch. 2.6 - Find the area of the closet in square inches.Ch. 2.6 - Each of the doorways shown is 30 inches wide, and...Ch. 2.6 - What is the total carpeted area? Convert the total...Ch. 2.6 - Write a sentence or two describing how the...Ch. 2.6 - Find the percent error in the estimate. Round to...Ch. 2.6 - Not everyone realizes this, but when you buy...Ch. 2.6 - Use the actual error in the estimate to find the...Ch. 2.6 - One suggestion for estimating carpet is to measure...Ch. 2.6 - List some situations where relative change is a...Ch. 2.6 - Try this problem to see if you understand the...Ch. 2.6 - Try this problem to see if you understand the...Ch. 2.6 - Try this problem to see if you understand the...Ch. 2.6 - Type a short answers to each question. How would...Ch. 2.6 - Type a short answers to each question. Both Shawna...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.6 - Name...Ch. 2.7 - Find the mean of the numbers listed. 23 34 45 56...Ch. 2.7 - The pie chart represents the breakdown of...Ch. 2.7 - In an average year, there is at least some...Ch. 2.7 - Write a verbal description of each interval...Ch. 2.7 - Write an inequality that describes each interval....Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Two golfers were competing in a televised...Ch. 2.7 - Fill in the second column of the table below. Step...Ch. 2.7 - Fill in the third column of the table by squaring...Ch. 2.7 - Find the mean of the values in the third column of...Ch. 2.7 - Find the standard deviation by computing the...Ch. 2.7 - Describe the pattern made by the seed pods, and...Ch. 2.7 - Use the information just given about and to fill...Ch. 2.7 - Based on your diagram, about what percentage of...Ch. 2.7 - Try these problems to see if you understand the...Ch. 2.7 - Try these problems to see if you understand the...Ch. 2.7 - Try these problems to see if you understand the...Ch. 2.7 - Try these problems to see if you understand the...Ch. 2.7 - Try these problems to see if you understand the...Ch. 2.7 - Type a short answers to each question. Describe...Ch. 2.7 - Type a short answers to each question. What can we...Ch. 2.7 - In Lesson 2-1, you found the mean of the exam...Ch. 2.7 - According to numerous online resources, the mean...Ch. 2.7 - Write an expression of the form P(inequality) that...Ch. 2.7 - In a group of 500 women, how many would you expect...Ch. 2.7 - On one campus, about 95% of students work between...Ch. 2.7 - For each of the quantities in Questions 69, decide...Ch. 2.7 - For each of the quantities in Questions 69, decide...Ch. 2.7 - For each of the quantities in Questions 69, decide...Ch. 2.7 - For each of the quantities in Questions 69, decide...Ch. 2.8 - There are 52 cards in a standard deck, equally...Ch. 2.8 - When you roll one six-sided die, whats the...Ch. 2.8 - Convert each percentage to decimal form: a. 87 b....Ch. 2.8 - Add the numbers across each of the 10 rows, and...Ch. 2.8 - On average, how much did you win per roll?Ch. 2.8 - Add the answers from Question 2 for every group in...Ch. 2.8 - Congratulations: Youve just found the expected...Ch. 2.8 - What is the probability of getting a 1 when...Ch. 2.8 - What is the probability of getting any individual...Ch. 2.8 - Complete the second column of this table by...Ch. 2.8 - Find the sum of the values in the third column....Ch. 2.8 - Obviously, playing this game for free would ROCK:...Ch. 2.8 - Lets say you were setting up this game somewhere...Ch. 2.8 - If you were charging $2 to play, the outcomes for...Ch. 2.8 - Using the scores provided, find the percentage of...Ch. 2.8 - Use information on the grading scale to fill in...Ch. 2.8 - The points out of 100 earned for each category is...Ch. 2.8 - The overall grade, out of 100, is the sum of all...Ch. 2.8 - What letter grade did Christine earn?Ch. 2.8 - Which category would you say had the most negative...Ch. 2.8 - So lets say that you have the following scores in...Ch. 2.8 - So lets say that you have the following scores in...Ch. 2.8 - So lets say that you have the following scores in...Ch. 2.8 - Whats the net gain if you land on blue? Write your...Ch. 2.8 - Compute and record the probability for each gain...Ch. 2.8 - Calculate and record the product for each X*P(X)....Ch. 2.8 - Whats the expected value? Record in the table,...Ch. 2.8 - A game of chance is called a fair game if the...Ch. 2.8 - A game favors the player if the players expected...Ch. 2.8 - If you played this game 100 times, how much would...Ch. 2.8 - Try these problems to see if you understand the...Ch. 2.8 - Try these problems to see if you understand the...Ch. 2.8 - Prob. 3DYGICh. 2.8 - Prob. 4DYGICh. 2.8 - For all but one bet in standard American roulette,...Ch. 2.8 - Betting on 0, 00, 1, 2, and 3 in roulette has an...Ch. 2.8 - What makes a grading system weighted?Ch. 2.8 - Name one thing you learned or discovered in this...Ch. 2.8 - Below are the grades that our friend Christine...Ch. 2.8 - Below are the grades that our friend Christine...Ch. 2.8 - Below are the grades that our friend Christine...Ch. 2.8 - Below are the grades that our friend Christine...Ch. 2.8 - Next, well study a traditional carnival game that...Ch. 2.8 - Find the expected value of this game. The table,...Ch. 2.8 - Would you prefer to be the player in this game, or...Ch. 2.8 - What should the player expect to happen if he...Ch. 2.8 - The grading structure for my Calc 2 class last...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Carefully read through the list of terminology...Ch. 2 - Compute the mean, median, and mode for the lengths...Ch. 2 - A prepaid calling card starts with a value of $40....Ch. 2 - Compute the standard deviation for the lengths of...Ch. 2 - The table shows the number of points possible on...Ch. 2 - Consider the table showing points earned on exam 1...Ch. 2 - Consider the table showing points earned on exam 1...Ch. 2 - Consider the table showing points earned on exam 1...Ch. 2 - Consider the table showing points earned on exam 1...Ch. 2 - According to www.boeing.com/, the Boeing 747...Ch. 2 - Use your calculator or a spreadsheet to complete...Ch. 2 - How many gallons would be remaining after 1,000...Ch. 2 - How many miles were flown if there were 56,000...Ch. 2 - Write a sentence or two using the terms input,...Ch. 2 - Which is most likely the correct way to compute...Ch. 2 - The formula A=r2 can be used to find the area of a...Ch. 2 - The formula V=r2h can be used to find the volume...Ch. 2 - In Questions 15 and 16, simplify each expression....Ch. 2 - In Questions 15 and 16, simplify each expression....Ch. 2 - Determine the number of cups that are in a 2-liter...Ch. 2 - Determine the speed in inches per second of a...Ch. 2 - A 5-k race is 5 kilometers long. How long is that...Ch. 2 - Convert 68 Fahrenheit to Celsius.Ch. 2 - Write a brief summary of Polyas 4-step...Ch. 2 - If in a typical month your cell-phone bill is...Ch. 2 - A seven-passenger van can transport at most seven...Ch. 2 - On March 1, 2017, the Dow Jones Industrial Average...Ch. 2 - If a jet was fueled with 68,000 lbs of fuel and...Ch. 2 - Runners often keep a training log to keep track of...Ch. 2 - Runners often keep a training log to keep track of...Ch. 2 - Runners often keep a training log to keep track of...Ch. 2 - It has been reported that credit card debt for...Ch. 2 - Write an expression that describes the probability...Ch. 2 - Use the empirical rule to find P(2,162x5,462) and...Ch. 2 - Suppose you decide to set up a simple dice-rolling...Ch. 2 - Suppose you decide to set up a simple dice-rolling...Ch. 2 - The grading structure for a Stats course is...
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- Make M the subject: P=2R(M/√M-R)arrow_forwardExercice 2: Soit & l'ensemble des nombres réels. Partie A Soit g la fonction définie et dérivable sur R telle que, pour tout réel x. g(x) = - 2x ^ 3 + x ^ 2 - 1 1. a) Étudier les variations de la fonction g b) Déterminer les limites de la fonction gen -oo et en +00. 2. Démontrer que l'équation g(x) = 0 admet une unique solution dans R, notée a, et que a appartient à | - 1 ;0|. 3. En déduire le signe de g sur R. Partie B Soit ƒ la fonction définie et dérivable sur R telle que, pour tout réel s. f(x) = (1 + x + x ^ 2 + x ^ 3) * e ^ (- 2x + 1) On note f la fonction dérivée de la fonction ƒ sur R. 1. Démontrer que lim x -> ∞ f(x) = - ∞ 2. a) Démontrer que, pour tout x > 1 1 < x < x ^ 2 < x ^ 3 b) En déduire que, pour x > 1 0 < f(x) < 4x ^ 3 * e ^ (- 2x + 1) c) On admet que, pour tout entier naturel n. lim x -> ∞ x ^ n * e ^ (- x) = 0 Vérifier que, pour tout réel x, 4x ^ 3 * e ^ (- 2x + 1) = e/2 * (2x) ^ 3 * e ^ (-2x) puis montrer que: lim x -> ∞ 4x ^ 3 * e…arrow_forwardshow me pass-to-passarrow_forward
- Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardQ1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Automobile Department Subject :Engineering Analysis Time: 2 hour Date:27-11-2022 کورس اول تحليلات تعمیر ) 1st month exam / 1st semester (2022-2023)/11/27 Note: Answer all questions,all questions have same degree. Q1/: Find the following for three only. 1- 4s C-1 (+2-3)2 (219) 3.0 (6+1)) (+3+5) (82+28-3),2- ,3- 2-1 4- Q2/:Determine the Laplace transform of the function t sint. Q3/: Find the Laplace transform of 1, 0≤t<2, -2t+1, 2≤t<3, f(t) = 3t, t-1, 3≤t 5, t≥ 5 Q4: Find the Fourier series corresponding to the function 0 -5arrow_forwardSHU Pra S × (29 (29 Ful SH Fre SH Stu 1b | Stu M De rea Ma tea Tea | b An | filo Tea | filo Filo SH + OXFORD C talentcentral.eu.shl.com/player/testdriver/launch?s=61B06D43-1AC3-4353-8210-9DF5644C9747&from Launch=true ☆ V My Profile → Exit SHL Help▾ 09:21 Community Service Schedule Team A: 4 people Team B: 6 people Team C: 8 people 9 10 11 12 1 2 3 4 5 6 Question You are organizing a community service event today. At least 6 people must be working the event between 10 a.m.5 p.m. (the event is closed for an hour lunch break beginning at 12:00 p.m.). Schedule Team D to ensure adequate coverage throughout the day. Team D: 4 people 9 10 11 12 1 2 3 4 5 LQ Next 6 © 2025 SHL and/or its affiliates. All rights reserved.arrow_forwardQ1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forwardMinistry of Higher Education & Scientific Research Babylon University College of Engineering - Al musayab Subject :Engineering Analysis Time: 80 min Date:11-12-2022 Automobile Department 2nd month exam / 1" semester (2022-2023) Note: Answer all questions,all questions have same degree. کورس اول شعر 3 Q1/: Use a Power series to solve the differential equation: y" - xy = 0 Q2/:Evaluate using Cauchy's residue theorem, sinnz²+cosz² dz, where C is z = 3 (z-1)(z-2) Q3/:Evaluate dz (z²+4)2 Where C is the circle /z-i/-2,using Cauchy's residue theorem. Examiner: Dr. Wisam N. Hassanarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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