EBK USING & UNDERSTANDING MATHEMATICS
7th Edition
ISBN: 8220106844434
Author: Briggs
Publisher: PEARSON
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Chapter 1.E, Problem 42E
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Analyze the following situations, and explain what decision you would make and why.
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please do #48
43–46. Directions of change Consider the following functions f and
points P. Sketch the xy-plane showing P and the level curve through
P. Indicate (as in Figure 15.52) the directions of maximum increase,
maximum decrease, and no change for f.
■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)
plese do #48
Chapter 1 Solutions
EBK USING & UNDERSTANDING MATHEMATICS
Ch. 1.A - Prob. 1QQCh. 1.A - A fallacy is a. a statement that is untrue. b. a...Ch. 1.A - Which of the following could not qualify as a...Ch. 1.A - An argument in which the conclusion essentially...Ch. 1.A - The fallacy of appeal to ignorance occurs when a....Ch. 1.A - Consider the argument ‘‘I don’t support the...Ch. 1.A - Consider again the argument ‘‘I don’t support the...Ch. 1.A - Prob. 8QQCh. 1.A - Suppose that the fact that an event A occurs...Ch. 1.A - When we speak of a straw man in an argument, we...
Ch. 1.A - What is logic? Briefly explain how logic can be...Ch. 1.A - How do we define an argument? What is the basic...Ch. 1.A - What is a fallacy? Choose three examples of...Ch. 1.A - Prob. 4ECh. 1.A - Prob. 5ECh. 1.A - I persuaded my father that I was right with a...Ch. 1.A - I didn’t believe the premises on which he based...Ch. 1.A - Prob. 8ECh. 1.A - I disagree with your conclusion, so your argument...Ch. 1.A - Even though your argument contains a fallacy, your...Ch. 1.A - Analyzing Fallacies. Consider the following...Ch. 1.A - 11-20: Analyzing Fallacies. Consider the following...Ch. 1.A - Analyzing Fallacies. Consider the following...Ch. 1.A - 11-20: Analyzing Fallacies. Consider the following...Ch. 1.A - Analyzing Fallacies. Consider the following...Ch. 1.A - Prob. 16ECh. 1.A - Analyzing Fallacies. Consider the following...Ch. 1.A - Prob. 18ECh. 1.A - Analyzing Fallacies. Consider the following...Ch. 1.A - Prob. 20ECh. 1.A - Media Claims. Each of the following claims can...Ch. 1.A - Prob. 22ECh. 1.A - Prob. 23ECh. 1.A - Prob. 24ECh. 1.A - Recognizing Fallacies. In the following arguments,...Ch. 1.A - 25-40: Recognizing Fallacies. In the following...Ch. 1.A - Recognizing Fallacies. In the following arguments,...Ch. 1.A - Recognizing Fallacies. In the following arguments,...Ch. 1.A - Prob. 29ECh. 1.A - Prob. 30ECh. 1.A - 25-40: Recognizing Fallacies. In the following...Ch. 1.A - Prob. 32ECh. 1.A - Prob. 33ECh. 1.A - Recognizing Fallacies. In the following arguments,...Ch. 1.A - Recognizing Fallacies. In the following arguments,...Ch. 1.A - Prob. 36ECh. 1.A - Prob. 37ECh. 1.A - 25-40: Recognizing Fallacies. In the following...Ch. 1.A - 25-40: Recognizing Fallacies. In the following...Ch. 1.A - 25-40: Recognizing Fallacies. In the following...Ch. 1.A - Prob. 41ECh. 1.A - Prob. 42ECh. 1.A - Additional Fallacies. Consider the blowing...Ch. 1.A - Additional Fallacies. Consider the blowing...Ch. 1.A - Evaluating Media Information. Choose a current...Ch. 1.A - Snopes. Visit the Snopes.com website and choose...Ch. 1.A - Prob. 47ECh. 1.A - Prob. 48ECh. 1.A - Fallacies in Politics. Discuss the tactics used by...Ch. 1.A - Prob. 50ECh. 1.A - 51. Comment Fallacies. The “reader comments” that...Ch. 1.A - 52. Fake News Sites. Visit a fake news site that...Ch. 1.B - The statement Mathematics is fun is a. an...Ch. 1.B - Suppose you know the truth value of a proposition...Ch. 1.B - Which of the following has the form of a...Ch. 1.B - Suppose you want to make a truth table for the...Ch. 1.B - Suppose the statement p or q is true. Then you can...Ch. 1.B - Suppose the statement p is false and the statement...Ch. 1.B - The statement If it’s a dog, then it is a mammal...Ch. 1.B - The statement If the engine is running, then the...Ch. 1.B - Two statements are logically equivalent if a. they...Ch. 1.B - Prob. 10QQCh. 1.B - What is a proposition? Give a few examples, and...Ch. 1.B - What do we mean by the negation of a proposition?...Ch. 1.B - Define conjunction, disjunction, and conditional,...Ch. 1.B - 4. What is the difference between an inclusive or...Ch. 1.B - 5. Make a truth table for each of the following: p...Ch. 1.B - Prob. 6ECh. 1.B - 7. My logical proposition is a question that you...Ch. 1.B - The mayor opposes repealing the ban on handguns,...Ch. 1.B - Prob. 9ECh. 1.B - Prob. 10ECh. 1.B - Prob. 11ECh. 1.B - Prob. 12ECh. 1.B - Prob. 13ECh. 1.B - Prob. 14ECh. 1.B - 13-18: A proposition? Determine whether the...Ch. 1.B - Prob. 16ECh. 1.B - Prob. 17ECh. 1.B - Prob. 18ECh. 1.B - Negation. Write the negation of the given...Ch. 1.B - Prob. 20ECh. 1.B - Prob. 21ECh. 1.B - Prob. 22ECh. 1.B - Prob. 23ECh. 1.B - Multiple Negations. Explain the meaning of the...Ch. 1.B - Prob. 25ECh. 1.B - Multiple Negations. Explain the meaning of the...Ch. 1.B - Prob. 27ECh. 1.B - Multiple Negations. Explain the meaning of the...Ch. 1.B - Truth Tables. Make a truth table for the given...Ch. 1.B - Prob. 30ECh. 1.B - Prob. 31ECh. 1.B - And Statements. The following propositions have...Ch. 1.B - Prob. 33ECh. 1.B - And Statements. The following statements have the...Ch. 1.B - Prob. 35ECh. 1.B - 31-36: And Statements. The following statements...Ch. 1.B - Truth Tables. Make a truth table for the given...Ch. 1.B - 37-38: Truth Tables. Make a truth table for the...Ch. 1.B - Prob. 39ECh. 1.B - 39-44: Interpreting or. State whether or is used...Ch. 1.B - Prob. 41ECh. 1.B - Interpreting or. State whether or is used in the...Ch. 1.B - 39-44: Interpreting or. State whether or is used...Ch. 1.B - Interpreting or. State whether or is used in the...Ch. 1.B - Truth Table. Make a truth table for the given...Ch. 1.B - Truth Table. Make a truth table for the given...Ch. 1.B - Truth Table. Make a truth table for the given...Ch. 1.B - Truth Table. Make a truth table for the given...Ch. 1.B - Truth Table. Make a truth table for the given...Ch. 1.B - Prob. 50ECh. 1.B - Prob. 51ECh. 1.B - Prob. 52ECh. 1.B - Prob. 53ECh. 1.B - Prob. 54ECh. 1.B - Prob. 55ECh. 1.B - 51-56: Or Statements. The following statements...Ch. 1.B - 57-58: Truth Tables. Make a truth table for the...Ch. 1.B - 57-58: Truth Tables. Make a truth table for the...Ch. 1.B - Prob. 59ECh. 1.B - Prob. 60ECh. 1.B - Prob. 61ECh. 1.B - Prob. 62ECh. 1.B - If... then Statements. Identify the hypothesis and...Ch. 1.B - Prob. 64ECh. 1.B - Prob. 65ECh. 1.B - If... then Statements. Identify the hypothesis and...Ch. 1.B - Rephrasing Conditional Statements. Express the...Ch. 1.B - 67-72: Rephrasing Conditional Statements. Express...Ch. 1.B - 67-72: Rephrasing Conditional Statements. Express...Ch. 1.B - 67-72: Rephrasing Conditional Statements. Express...Ch. 1.B - Prob. 71ECh. 1.B - Prob. 72ECh. 1.B - Converse, Inverse, and Contrapositive. Write the...Ch. 1.B - Converse, Inverse, and Contrapositive. Write the...Ch. 1.B - Converse, Inverse, and Contrapositive. Write the...Ch. 1.B - Prob. 76ECh. 1.B - Converse, Inverse, and Contrapositive. Write the...Ch. 1.B - Converse, Inverse, and Contrapositive. Write the...Ch. 1.B - Prob. 79ECh. 1.B - Prob. 80ECh. 1.B - 79-82: Famous Quotes. Rephrase the following...Ch. 1.B - 79-82: Famous Quotes. Rephrase the following...Ch. 1.B - 83-87: Writing Conditional Propositions. Create...Ch. 1.B - Prob. 84ECh. 1.B - Writing Conditional Propositions. Create your own...Ch. 1.B - 83-87: Writing Conditional Propositions. Create...Ch. 1.B - 83-87: Writing Conditional Propositions. Create...Ch. 1.B - Prob. 88ECh. 1.B - Necessary and Sufficient. Write the following...Ch. 1.B - Necessary and Sufficient. Write the following...Ch. 1.B - Prob. 91ECh. 1.B - 89-92: Necessary and Sufficient. Write the...Ch. 1.B - Logical Equivalence. Consider the following pairs...Ch. 1.B - Logical Equivalence. Consider the following pairs...Ch. 1.B - Logical Equivalence. Consider the following pairs...Ch. 1.B - Prob. 96ECh. 1.B - Logical Equivalence. Consider the following pairs...Ch. 1.B - Prob. 98ECh. 1.B - Prob. 99ECh. 1.B - Prob. 100ECh. 1.B - Prob. 101ECh. 1.B - Prob. 102ECh. 1.C - Consider the set {Alabama, Alaska, Arizona,…,...Ch. 1.C - Which of the following is not a member of the set...Ch. 1.C - Based on the Venn diagram below, we conclude that...Ch. 1.C - Suppose that A represents the set of all boys and...Ch. 1.C - Suppose that A represents the set of all apples...Ch. 1.C - Suppose that A represents the set of all high...Ch. 1.C - In the Venn diagram below, the X tells us that a....Ch. 1.C - Prob. 8QQCh. 1.C - Consider again the Venn diagram from Exercise 8....Ch. 1.C - Look at the data in Table 1.1 (p.34). The total...Ch. 1.C - Prob. 1ECh. 1.C - What is a Venn diagram? How do we show that one...Ch. 1.C - List the four standard categorical propositions....Ch. 1.C - Briefly discuss how you can put a categorical...Ch. 1.C - Explain how to draw a Venn diagram for three...Ch. 1.C - 6. Explain how to read a table such as Table 1.1...Ch. 1.C - The people who live in Chicago form a subset of...Ch. 1.C - All jabbers are wocks, so there must be no wocks...Ch. 1.C - I counted an irrational number of students in my...Ch. 1.C - I surveyed my class to find out whether students...Ch. 1.C - My professor asked me to draw a Venn diagram for a...Ch. 1.C - I used a Venn diagram with three circles to show...Ch. 1.C - Classifying Numbers. Choose the first set in the...Ch. 1.C - Prob. 14ECh. 1.C - Classifying Numbers. Choose the first set in the...Ch. 1.C - Prob. 16ECh. 1.C - 13-28: Classifying Numbers. Choose the first set...Ch. 1.C - 13-28: Classifying Numbers. Choose the first set...Ch. 1.C - 13-28: Classifying Numbers. Choose the first set...Ch. 1.C - Prob. 20ECh. 1.C - Prob. 21ECh. 1.C - Prob. 22ECh. 1.C - Prob. 23ECh. 1.C - Prob. 24ECh. 1.C - Prob. 25ECh. 1.C - Prob. 26ECh. 1.C - Prob. 27ECh. 1.C - Prob. 28ECh. 1.C - Prob. 29ECh. 1.C - Prob. 30ECh. 1.C - Prob. 31ECh. 1.C - Prob. 32ECh. 1.C - Prob. 33ECh. 1.C - Prob. 34ECh. 1.C - Prob. 35ECh. 1.C - Prob. 36ECh. 1.C - Prob. 37ECh. 1.C - Prob. 38ECh. 1.C - Prob. 39ECh. 1.C - Venn Diagrams for Two Sets. Draw Venn diagrams...Ch. 1.C - 37-44: Venn Diagrams for Two Sets. Draw Venn...Ch. 1.C - 37-44: Venn Diagrams for Two Sets. Draw Venn...Ch. 1.C - 37-44: Venn Diagrams for Two Sets. Draw Venn...Ch. 1.C - 37-44: Venn Diagrams for Two Sets. Draw Venn...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - 45-52: Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Categorical Propositions. For the given...Ch. 1.C - Prob. 53ECh. 1.C - Prob. 54ECh. 1.C - Prob. 55ECh. 1.C - Prob. 56ECh. 1.C - Prob. 57ECh. 1.C - Prob. 58ECh. 1.C - Prob. 59ECh. 1.C - Prob. 60ECh. 1.C - Two-Circle Venn Diagram with Numbers. Use the Venn...Ch. 1.C - Two-Circle Venn Diagram with Numbers. Use the Venn...Ch. 1.C - Three-Circle Venn Diagram with Numbers. Use the...Ch. 1.C - Three-Circle Venn Diagram with Numbers. Use the...Ch. 1.C - Hospital Drug Use. The following numbers of...Ch. 1.C - Technology Survey. A survey of 150 college...Ch. 1.C - Venn Diagram Analysis. 67. A movie critic reviewed...Ch. 1.C - Venn Diagram Analysis. 68. All runners who...Ch. 1.C - Venn Diagram Analysis. 69. One hundred people who...Ch. 1.C - Venn Diagram Analysis. 70. In a trial of a new...Ch. 1.C - Prob. 71ECh. 1.C - Prob. 72ECh. 1.C - Prob. 73ECh. 1.C - Prob. 74ECh. 1.C - 86. Categorical Propositions. Find at least three...Ch. 1.C - Prob. 76ECh. 1.C - Prob. 77ECh. 1.C - Prob. 78ECh. 1.C - Prob. 79ECh. 1.C - Prob. 80ECh. 1.C - Prob. 81ECh. 1.C - State Politics. Find out how many states have a...Ch. 1.C - Prob. 83ECh. 1.D - To prove a statement true, you must use a. an...Ch. 1.D - If a deductive argument is valid, its conclusion...Ch. 1.D - Prob. 3QQCh. 1.D - 4. Consider an argument in which Premise 1 is "All...Ch. 1.D - 5. Consider again the argument from question 4....Ch. 1.D - Consider an argument in which Premise 1 is “ If p,...Ch. 1.D - 7. Consider an argument in which Premise 1 is “ If...Ch. 1.D - Prob. 8QQCh. 1.D - 9. The longest side of a right triangle is called...Ch. 1.D - Prob. 10QQCh. 1.D - Summarize the differences between deductive and...Ch. 1.D - Briefly explain the idea of strength and how it...Ch. 1.D - Briefly explain the ideas of validity and...Ch. 1.D - Describe the procedure used to test the validity...Ch. 1.D - Prob. 5ECh. 1.D - What is a chain of conditionals? Give an example...Ch. 1.D - Prob. 7ECh. 1.D - Prob. 8ECh. 1.D - 9. My inductive argument provides absolute proof...Ch. 1.D - Prob. 10ECh. 1.D - 11. My argument is deductively valid, so if you...Ch. 1.D - Prob. 12ECh. 1.D - Prob. 13ECh. 1.D - Prob. 14ECh. 1.D - Prob. 15ECh. 1.D - Prob. 16ECh. 1.D - Argument Type. Explain whether the following...Ch. 1.D - Argument Type. Explain whether the following...Ch. 1.D - Argument Type. Explain whether the following...Ch. 1.D - Argument Type. Explain whether the following...Ch. 1.D - Argument Type. Explain whether the following...Ch. 1.D - Prob. 22ECh. 1.D - Prob. 23ECh. 1.D - Prob. 24ECh. 1.D - Prob. 25ECh. 1.D - Prob. 26ECh. 1.D - Prob. 27ECh. 1.D - Analyzing Deductive Arguments. Consider the...Ch. 1.D - Prob. 30ECh. 1.D - 29-36: Analyzing Deductive Arguments. Consider the...Ch. 1.D - Analyzing Deductive Arguments. Consider the...Ch. 1.D - Analyzing Deductive Arguments. Consider the...Ch. 1.D - Analyzing Deductive Arguments. Consider the...Ch. 1.D - Prob. 35ECh. 1.D - Prob. 36ECh. 1.D - Prob. 37ECh. 1.D - 37-44: Deductive Arguments with Conditional...Ch. 1.D - 37-44: Deductive Arguments with Conditional...Ch. 1.D - 37-44: Deductive Arguments with Conditional...Ch. 1.D - Prob. 41ECh. 1.D - Prob. 42ECh. 1.D - Prob. 43ECh. 1.D - Deductive Arguments with Conditional Propositions....Ch. 1.D - Prob. 45ECh. 1.D - Prob. 46ECh. 1.D - Prob. 47ECh. 1.D - Prob. 48ECh. 1.D - Prob. 49ECh. 1.D - Prob. 50ECh. 1.D - Testing Mathematical Rules. Test the following...Ch. 1.D - It is true for all positive integers n that...Ch. 1.D - 53-57: Validity and Soundness. State whether it is...Ch. 1.D - 53-57: Validity and Soundness. State whether it is...Ch. 1.D - Prob. 55ECh. 1.D - Prob. 56ECh. 1.D - Validity and Soundness. State whether it is...Ch. 1.D - Prob. 58ECh. 1.D - Prob. 59ECh. 1.D - Prob. 60ECh. 1.D - Prob. 61ECh. 1.D - Prob. 62ECh. 1.D - Conditionals in Books. Consider the following...Ch. 1.D - Prob. 64ECh. 1.D - 63-66: Conditionals in Books. Consider the...Ch. 1.D - 63-66: Conditionals in Books. Consider the...Ch. 1.D - 62. The Goldbach Conjecture. Recall that a prime...Ch. 1.D - Twin Primes Conjecture. If you write out the first...Ch. 1.D - The Pythagorean Theorem. Learn more about the...Ch. 1.D - Prob. 70ECh. 1.D - 69. Inductive Reasoning in Your Life. Give an...Ch. 1.D - Prob. 72ECh. 1.D - Prob. 73ECh. 1.D - Prob. 74ECh. 1.E - What does it mean to think critically about the...Ch. 1.E - "If you want to save the social services that...Ch. 1.E - 2. Suppose that an argument is deductively valid...Ch. 1.E - 9. A teacher claims that, because spell checkers...Ch. 1.E - 3. You need to buy a car and are considering loans...Ch. 1.E - 4. You get your hair cut at a shop that charges...Ch. 1.E - You buy a cell phone plan that gives you up to...Ch. 1.E - Prob. 8QQCh. 1.E - Prob. 9QQCh. 1.E - The Smiths have a picnic every Saturday provided t...Ch. 1.E - Describe critical thinking and why it is important...Ch. 1.E - Prob. 2ECh. 1.E - Prob. 3ECh. 1.E - Prob. 4ECh. 1.E - Reed was relieved because his insurance company...Ch. 1.E - 6. Although the plane crashed in Nevada, the...Ch. 1.E - Sue prefers the Red shuttle because it gets her to...Ch. 1.E - Prob. 8ECh. 1.E - There was no price difference, so Michael chose...Ch. 1.E - Prob. 10ECh. 1.E - Prob. 11ECh. 1.E - Interpreting Policies. A city charters sole policy...Ch. 1.E - Reading a Ballot Initiative. Consider the...Ch. 1.E - Prob. 14ECh. 1.E - Hidden Assumptions. Identify at least two hidden...Ch. 1.E - Prob. 16ECh. 1.E - Hidden Assumptions. Identify at least two hidden...Ch. 1.E - Hidden Assumptions. Identify at least two hidden...Ch. 1.E - 29-30: Unstated Issues. The following arguments...Ch. 1.E - Unstated Issues. The following arguments give...Ch. 1.E - Airline Options. In planning a trip to New Zealand...Ch. 1.E - Buy vs. Lease. You are deciding whether to buy a...Ch. 1.E - You've Won! You receive the following e-mail...Ch. 1.E - Reading a Lease. Consider the following excerpt...Ch. 1.E - Prob. 25ECh. 1.E - Prob. 26ECh. 1.E - Prob. 27ECh. 1.E - 27-28. Fake News. The following are fake news...Ch. 1.E - 29-40: Read and Think Carefully. The following...Ch. 1.E - Prob. 30ECh. 1.E - Prob. 31ECh. 1.E - Prob. 32ECh. 1.E - Prob. 33ECh. 1.E - Prob. 34ECh. 1.E - Prob. 35ECh. 1.E - Prob. 36ECh. 1.E - Prob. 37ECh. 1.E - 29-40: Read and Think Carefully. The following...Ch. 1.E - 29-40: Read and Think Carefully. The following...Ch. 1.E - 29-40: Read and Think Carefully. The following...Ch. 1.E - Decision Making. Analyze the situations. and...Ch. 1.E - Prob. 42ECh. 1.E - Prob. 43ECh. 1.E - Prob. 44ECh. 1.E - IRS Guidelines on Who Must File a Federal Tax...Ch. 1.E - Prob. 46ECh. 1.E - Credit Card Agreement. The following rules are...Ch. 1.E - Prob. 48ECh. 1.E - Texas Ethics. In its Guide to Ethics the Texas...Ch. 1.E - Prob. 50ECh. 1.E - 50-54: Critical Thinking. Consider the following...Ch. 1.E - 57-65: Critical Thinking. Consider the following...Ch. 1.E - 50-54: Critical Thinking. Consider the following...Ch. 1.E - Prob. 54ECh. 1.E - Prob. 55ECh. 1.E - Interpreting the Second Amendment. Much of the...Ch. 1.E - Prob. 57ECh. 1.E - Prob. 58ECh. 1.E - Prob. 59ECh. 1.E - Prob. 60ECh. 1.E - Prob. 61ECh. 1.E - Conspiracy Theories. Choose some well-known...
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- 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) = • 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. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…arrow_forwardFind the closed formula for each of the following sequences (a_n)_n>=1 by realting them to a well known sequence. Assume the first term given is a_1 d. 5,23,119,719,5039 i have tried finding the differnces and the second difference and i still dont see the patternarrow_forward
- Solve the differential equation by variation of parameters 3x2y" + 7xy' + y = x2 - xarrow_forwardAn image processor considered a 750×750 pixels large subset of an image and converted it into gray-scale, resulting in matrix gIn - a false-color visualization of gIn is shown in the top-left below. He prepared a two-dim. box filter f1 as a 25×25 matrix with only the 5×5 values in the middle being non-zero – this filter is shown in the top-middle position below. He then convolved £1 with itself to get £2, before convolving £2 with itself to get f3. In both of the steps, he maintained the 25×25 size. Next, he convolved gIn with £3 to get gl. Which of the six panels below shows g1? Argue by explaining all the steps, so far: What did the image processor do when preparing ₤3? What image processing operation (from gin to g1) did he prepare and what's the effect that can be seen? Next, he convolved the rows of f3 with filter 1/2 (-1, 8, 0, -8, 1) to get f4 - you find a visualization of filter f 4 below. He then convolved gIn with f4 to get g2 and you can find the result shown below. What…arrow_forwardClient 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127arrow_forward
- 3ur Colors are enchanting and elusive. A multitude of color systems has been proposed over a three-digits number of years - maybe more than the number of purposes that they serve... - Everyone knows the additive RGB color system – we usually serve light-emitting IT components like monitors with colors in that system. Here, we use c = (r, g, b) RGB with r, g, bЄ [0,1] to describe a color c. = T For printing, however, we usually use the subtractive CMY color system. The same color c becomes c = (c, m, y) CMY (1-c, 1-m, 1-y) RGB Note how we use subscripts to indicate with coordinate system the coordinates correspond to. Explain, why it is not possible to find a linear transformation between RGB and CMY coordinates. Farbenlehr c von Goethe Erster Band. Roſt einen Defte mit fergen up Tübingen, is et 3. Cotta'fden Babarblung. ISIO Homogeneous coordinates give us a work-around: If we specify colors in 4D, instead, with the 4th coordinate being the homogeneous coordinate h so that every actual…arrow_forwardClient 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardYou manage a chemical company with 2 warehouses. The following quantities of Important Chemical A have arrived from an international supplier at 3 different ports: Chemical Available (L) Port 1 Port 2 Port 3 400 110 100 The following amounts of Important Chemical A are required at your warehouses: Warehouse 1 Warehouse 2 Chemical Required (L) 380 230 The cost in £ to ship 1L of chemical from each port to each warehouse is as follows: Warehouse 1 Warehouse 2 Port 1 £10 £45 Port 2 £20 £28 Port 3 £13 £11 (a) You want to know how to send these shipments as cheaply as possible. For- mulate this as a linear program (you do not need to formulate it in standard inequality form) indicating what each variable represents.arrow_forward
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