Illustrate local linearity for (x) = x 2 by zooming in on the graph at x =
Question:
Illustrate local linearity for ƒ(x) = x2 by zooming in on the graph at x = 0.5 (see Example 6).
Transcribed Image Text:
Hypotenuse 5 FIGURE 16 FIGURE 17 a Adjacent 2 (o Opposite √21 EXAMPLE 6 For between 0 and 27, the equation cos 0 = has a solution in (0,7) and a solution in (3, 27). Calculate tan in each case. Solution First, using the identity cos² 0+ sin² 0 = 1, we obtain 4 sine = √1 cos² 0 = ₁/1- == 25 √21 5 If 0 <<, then sin is positive and we take the positive square root: tan = sin 0 cos ( = √21/5 2/5 √21 2 To visualize this computation, draw a right triangle with angle such that cos 0 = as in Figure 16. The opposite side then has length √21 = √52-22 by the Pythagorean Theorem. √21 If ³ < 0 < 27, then sin is negative and tan0 = -³ We conclude this section by quoting the Law of Cosines (Figure 17), which is a generalization of the Pythagorean Theorem (see Exercise 62). THEOREM 1 Law of Cosines If a triangle has sides a, b, and c, and is the angle opposite side c, then a² + b² - 2ab cos 0 If 0 = π/2, then cos 0 = 0 and the Law of Cosines reduces to the Pythagorean Theorem.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
The following three graphs display fx x ov...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Solve using any method. X (In) = In 6 6
-
By zooming in on the graph of (x) = x at x = 0, examine the local linearity. How does the resulting line appear?
-
Mobile cranes have specified lifting capacities based on their design and configuration. Exceeding the crane's lifting capacity can put excessive stress on the crane's structure and compromise its...
-
A feature of most autumns in the northeastern United States is a period of mild, sunny weather called Indian summer, which occurs when an anticyclone happens to stall for a few days off the East...
-
What type of nation benefits most from countertrade? Why?
-
Explain factors that can be used to select informationgathering techniques.
-
What key elements should be included in a typical job description?
-
Presented below is information related to the sole proprietorship of Sergio Santos attorney. Legal service revenue2012 $335,000 Total expenses2012 211,000 Assets, January 1, 2012 96,000 Liabilities,...
-
1. Record the purchase of investments by passing journal entries in the books of Sharjah Electronics Limited. (7 marks) 2. Record the receipt of investment revenue by passing journal entries in the...
-
Use Figure 21 to find all angles between 0 and 2 satisfying the given condition. tan = 1 Sn 3 4 5 4 2 3 4 3 k/e 2 3 2 4 7 3 4 3 62' 4) -0 (1,0) 11z 6
-
Let (x) be the function shown in Figure 1. Sketch the graphs of y = 1/2 (x) and y = (1/2 x). 3 2 1 0 y 1 2 3 4 X
-
Briefly describe two (2) products (goods or services) offered at a business you are familiar with. Next, identify two (2) major competitors and describe the two (2) products they offer that compete...
-
List the major traditional banks in Canada? 2. What other options for Canadian banking are there besides the "Big 5 "? 3. What is your preferred Canadian banking option? Name of institution: Bank of...
-
What are the actions taken by the Sprouts Farmers Market in measuring risk and ethical behavior?
-
How can companies and marketing teams, in particular, anticipate how AI will impact market research? As AI continues to be developed even further, how do you foresee that it will disrupt the...
-
If two trading partners suddenly become entangled in a trade war, what impact will this have on each nation? Explain.
-
Health care administrationoffers many opportunities to work on committees, teams, or special projects in an HCO. Discuss one such environment and what regulatory entity may have jurisdiction over the...
-
The memory metal, nitinol, is an alloy of nickel and titanium. It is called a memory metal because after being deformed, a piece of nitinol wire will return to its original shape. (See Chem. Matters,...
-
Wholesalers Ltd. deals in the sale of foodstuffs to retailers. Owing to economic depression, the firm intends to relax its credit policy to boost productivity and sales. The firms current credit...
-
The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (b) ) dx y=f(x) 6. 8.
-
The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. (a) g(x) dr (b) g(x) dr (c) () di y=g(x)
-
In Example 2 in Section 5.1 we showed that 1 x2 dx = 1/3. Use this fact and the properties of integrals to evaluate 1 (5 6x2) dx.
-
On December 31, 2022. Bridgeport Corp provided you with the following pre-adjustment information regarding its portfolio of investments held for short-term profit-taking December 31, 2022 Investments...
-
LA Gentry Can Company's (GCC) latest annual dividend of $1.40 a share was paid yesterday and maintained its historic 7 percent annual rate of growth. You plan to purchase the stock today because you...
-
Samuelson and Messenger (SAM) began 2021 with 250 units of its one product. These units were purchased near the end of 2020 for $25 each. During the month of January, 125 units were purchased on...
Study smarter with the SolutionInn App