MATH IN OUR WORLD:LL W/ALEKS >BI<
4th Edition
ISBN: 9781260513714
Author: sobecki
Publisher: MCG
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Chapter 1, Problem 56RE
To determine
To find: The invested amount at rate of
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In Problems 1 and 2 find the eigenfunctions and the equation that
defines the eigenvalues for the given boundary-value problem. Use a
CAS to approximate the first four eigenvalues A1, A2, A3, and A4. Give
the eigenfunctions corresponding to these approximations.
1. y" + Ay = 0, y'(0) = 0, y(1) + y'(1) = 0
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1].
See the figure for a plot of f(t).
Your goal is to approximate f(t) with an inter-
polating polynomial spline of degree d that is
given as sa(t)
=
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Σk=0 Pd,k bd,k(t) so that
sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0)
with basis functions bd,k(t) = Σi±0 Cd,k,i
=
•
The special case of d 0 is trivial: the only
basis function b0,0 (t) is constant 1 and so(t) is
thus constant po,0 for all t = [−1, 1].
...9
The d+1 basis functions bd,k (t) form a ba-
sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the
function space of all possible sα (t) functions.
Clearly, you wish to find out, which of them
given a particular maximal degree d is the
best-possible approximation of f(t) in the least-
squares sense.
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Chapter 1 Solutions
MATH IN OUR WORLD:LL W/ALEKS >BI<
Ch. 1.1 - Use inductive reasoning to find a pattern and make...Ch. 1.1 - Make a reasonable conjecture for the next figure...Ch. 1.1 - If two odd numbers are multiplied, is the result...Ch. 1.1 - Use inductive reasoning to decide if the following...Ch. 1.1 - Find a counterexample to disprove the conjecture...Ch. 1.1 - Given that there are 31 sections with 6 points,...Ch. 1.1 - Consider the following problem: think of any...Ch. 1.1 - Arrive at a conclusion by using inductive...Ch. 1.1 - There is no mail delivery on holidays. Tomorrow is...Ch. 1.1 - Everyone I know in my sorority got at least a 2.5...
Ch. 1.1 - Explain the difference between inductive and...Ch. 1.1 - What is meant by the term conjecture?Ch. 1.1 - Give an example of a decision you made based on...Ch. 1.1 - What is a counterexample? What are counterexamples...Ch. 1.1 - Explain why you can never be sure that a...Ch. 1.1 - Explain the difference between an arbitrary number...Ch. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - Prob. 17ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Prob. 34ECh. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Use inductive reasoning to make a conjecture about...Ch. 1.1 - Use inductive reasoning to determine the unknown...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Prob. 48ECh. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Do a Google search for the string studies texting...Ch. 1.1 - Just about everyone had a conversation like this...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) In several of the problems in this section,...Ch. 1.1 - Refer to problem 63. (a) Write a string of three...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - The Cubs lost the first six games of the season....Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - There were 104,000 people at the Ohio...Ch. 1.1 - All three high school math teachers I had were...Ch. 1.1 - The numbers 1, 3, 6, 10, 15, are called...Ch. 1.1 - Refer to Exercise 75. The formula for finding...Ch. 1.2 -
Try This One 1
Round each value as requested.
The...Ch. 1.2 - At one ballpark, large frosty beverages cost 7.25...Ch. 1.2 - Prob. 3TTOCh. 1.2 - Next up for the Osbueos: a bedroom remodel. They...Ch. 1.2 - Prob. 5TTOCh. 1.2 - Using the pie chart shown in Example 6, find the...Ch. 1.2 - Prob. 7TTOCh. 1.2 - Think of three situations in our world where you...Ch. 1.2 - Explain why an exact answer to a math problem isnt...Ch. 1.2 - How can estimation be used as a quick check to see...Ch. 1.2 - Describe the rules for rounding numbers to a given...Ch. 1.2 - Explain why there is never a single, correct...Ch. 1.2 - Explain how to estimate the size of a quantity...Ch. 1.2 - How is information described in a pie chart? What...Ch. 1.2 - How can you tell when a quantity is getting larger...Ch. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - Prob. 35ECh. 1.2 - Estimate the cost of five months of HD cable at...Ch. 1.2 - Estimate the time it would take you to drive 237...Ch. 1.2 - Estimate the distance you can travel in 3 hours 25...Ch. 1.2 - Estimate the sale price of a futon you saw on eBay...Ch. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Estimate the total cost of the following items for...Ch. 1.2 - A group of five architecture students enters a...Ch. 1.2 - A biology lab houses 47 rats for experiments, and...Ch. 1.2 - If Erin earns 48,300.00 per year, estimate how...Ch. 1.2 - If Jamaal earns 8.75 per hour, estimate how much...Ch. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Estimate your cost to live in an apartment for 1...Ch. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 -
Use the information shown in the bar graph for...Ch. 1.2 - Prob. 54ECh. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - In Jareds math class, he scored 84, 92, 79, and 86...Ch. 1.2 - Entering a postseason basketball tournament,...Ch. 1.2 - One of the most valuable uses of estimation is to...Ch. 1.2 - Refer to Problem 77. In getting my swimming pool...Ch. 1.2 - Sometimes graphs are drawn in such a way as to...Ch. 1.2 - Prob. 84ECh. 1.2 - Recall that the average speed of an object over...Ch. 1.2 - Prob. 86ECh. 1.2 - Prob. 87ECh. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.3 -
Try This One 1
Suppose you want to cut a...Ch. 1.3 - A rectangular poster promoting the tailgate bash...Ch. 1.3 - Michelle shipped some packages for her boss and...Ch. 1.3 - A condo on the water in Myrtle Beach can be rented...Ch. 1.3 - Megans car gets 28 miles per gallon on long trips....Ch. 1.3 - A student teacher wants to divide his sixth grade...Ch. 1.3 - List and describe the four steps in problem...Ch. 1.3 - Discuss what you should do first when given a word...Ch. 1.3 - Discuss different ways you might be able to check...Ch. 1.3 - Prob. 4ECh. 1.3 -
5. Why is “application problem” a better name...Ch. 1.3 -
6. Think about a problem you’ve had to solve...Ch. 1.3 - One number is 6 more than another number, and...Ch. 1.3 - One number is 7 more than another number. Their...Ch. 1.3 - If 24 is added to a number, it will be 3 times as...Ch. 1.3 - If the smaller of two numbers is one-half of the...Ch. 1.3 - The sum of the digits of a two-digit number is 7....Ch. 1.3 - If the sum of the digits of a two-digit number is...Ch. 1.3 - When the mortgage is completely paid off for Mark...Ch. 1.3 - Hoang has worked as a nurse at Springfield General...Ch. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Arrange the digits 1, 2, and 3 to form two numbers...Ch. 1.3 - Nine athletes from a co-ed track team stop for...Ch. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - A fraternity charged 2.00 admission for dudes and...Ch. 1.3 - While reviewing the previous days arrest report, a...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Suzie hangs 10 pictures that each measure 812...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - A standard tube of silicone caulk will make a 3/16...Ch. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Kams monthly budget includes 256 for food. 125 for...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - A clerk earns 9.50 per hour and is paid time and a...Ch. 1.3 - A cell phone company charges 35 cents per minute...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - How many total triangles are in this figure?Ch. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Almost everyone thinks at first that the next two...Ch. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - Prob. 9RECh. 1 - For Exercises 9 and 10, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - For Exercises 1923, round each number to the place...Ch. 1 - For Exercises 1923, round each number to the place...Ch. 1 - Prob. 23RECh. 1 - Estimate the cost of four lawn mowers if each one...Ch. 1 - Estimate the cost of five textbooks if they cost...Ch. 1 - According to the trip computer on my car, I...Ch. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 31RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - A tennis team played 40 matches. The team won 20...Ch. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Use inductive reasoning to find a rule that...Ch. 1 - Prob. 6PTCh. 1 - An eccentric business owner decides to give...Ch. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - A number divided by 3 less than itself gives a...Ch. 1 - Prob. 13PTCh. 1 - Add five lines to the square to make three squares...Ch. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 26PTCh. 1 - Prob. 27PT
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