By means of sketches of the graphs y = 1/x and y = tan x, show that
Question:
By means of sketches of the graphs y = 1/x and y = tan x, show that the equation x tan x = 1 has a root between x = 0 and x = 1/2π and an infinity of roots near x = kπ, where k = 1, 2, 3, . . . . . Deduce which of the two iterations
(a) xn + 1 = cot xn
(b) xn + 1 = tan−1(1/xn) + kπ
is convergent to the roots, and use it to locate the smallest positive root to 6dp.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
a b To 6 dp the root is 0860 334 Notice ...View the full answer
Answered By
Ali Khawaja
my expertise are as follows: financial accounting : - journal entries - financial statements including balance sheet, profit & loss account, cash flow statement & statement of changes in equity -consolidated statement of financial position. -ratio analysis -depreciation methods -accounting concepts -understanding and application of all international financial reporting standards (ifrs) -international accounting standards (ias) -etc business analysis : -business strategy -strategic choices -business processes -e-business -e-marketing -project management -finance -hrm financial management : -project appraisal -capital budgeting -net present value (npv) -internal rate of return (irr) -net present value(npv) -payback period -strategic position -strategic choices -information technology -project management -finance -human resource management auditing: -internal audit -external audit -substantive procedures -analytic procedures -designing and assessment of internal controls -developing the flow charts & data flow diagrams -audit reports -engagement letter -materiality economics: -micro -macro -game theory -econometric -mathematical application in economics -empirical macroeconomics -international trade -international political economy -monetary theory and policy -public economics ,business law, and all regarding commerce
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Alice is a software project manager working in a company that develops alarm systems. This company wishes to enter the growing market of assistive technology to help elderly and disabled people live...
-
Data from the registrar's office at Gigantic State University indicate that over the past 20 years tuition and enrollment have both increased. From this information we can conclude that: A. higher...
-
Molten sodium chloride is to be used as a constant-temperature bath for a high-temperature chemical reactor. Two hundred kilograms of solid NaC1 at 300 K is charged into an insulated vessel, and a...
-
In the context of computing a predetermined indirect cost rate, what is a cost driver?
-
In a window air-conditioner, air filter is placed (a) in the path of return air (b) in the path of supply air (c) after evaporator coil (d) before evaporator coil
-
Taunton Construction Inc.s capital situation is described as follows. Debt: The firm issued 10,000 25-year bonds 10 years ago at their par value of $1,000. The bonds carry a coupon rate of 14% and...
-
1: Explain what happens to create regional and contact metamorphism? 2: Describe radioactive decay processes and the half-life? 3: Identify and describe fault and fold types? 4: Explain 3 of the 7...
-
If = f() but the iteration x n+1 = f (x n ) fails to converge to the root a, under what condition on f(x) will the iteration x n+1 = f 1 (x n ) converge?
-
Evaluate the following improper integrals: S. (a) (xlnx)dx 0 (b) (c) S. 0 x exp(-x)dx (d) xe-2 dx 0 S e exp(-e)dx (e) (f) (h) (i) S 0 x(1 - x)/dx So kla (x - 1)/x dx sin x cos x [ta cos x sin-1/3x dx...
-
The diagram shows some allotropes of carbon. a. Give the name of allotrope a, which has the formula C 60 . b. Explain in terms of structure and bonding why structure a is gaseous at 800 C but diamond...
-
Suppose Baskin-Robbins wants to know why some people do not eat ice cream regularly. Develop a cartoon test for this purpose. How can social media help Baskin-Robbins?
-
If all judges were appointed, how would the public be able to hold them accountable for the rulings they make?
-
Discuss the use of social media to conduct qualitative research.
-
Visit the website www.b2binternational.com. How can business-to-business (B2B) research benefit from online marketing research communities?
-
Why might people be opposed to a Victims' Rights Amendment to the U.S. Constitution?
-
The atmospheric pressure above a swimming pool changes from 755 to 765 mm of mercury. The bottom of the pool is a rectangle (12 m 24 m). By how much does the force on the bottom of the pool increase?
-
Archangel Corporation prepared the following variance report. Instructions Fill in the appropriate amounts or letters for the question marks in the report. ARCHANGEL CORPORATION Variance...
-
A shear force of V = 450 kN is applied to the box girder. Determine the shear flow at points C and D. 90 mm 90 mm 100 mm 200 mm 190 mm -10 mm 200 mm I80 mm 10 mm
-
A shear force of V = 18 kN is applied to the box girder. Determine the shear flow at points A and B. 10 mm 30 mm 10 mm 100 mm B 150 mm 100 mm 10 mm 30 mm 10 mm 150 mm 10 mm 125 mm 10 mm
-
A shear force of V = 18 kN is applied to the box girder. Determine the shear flow at point C. 10 mm 30 mm 10 mm 100 mm B. 150 mm 100 mm 10 mm 30 mm 10 mm 150 mm 10 mm 125 mm 10 mm
-
How does structural functionalism explain systemic dysfunctions within social structures, and what are the possible remedies or adjustments that can restore societal balance ?
-
How to apply the rules of normalization and normalize the data and display the 1NF, 2NF and 3NF Table structure with Table Names. For each step of normalization, please explain the basis. How to...
-
Cranshaw Business Services (CBS) operates an information technology (IT) consulting firm out of two offices: Detroit and Los Angeles. Corporate services, such as legal, finance, and personnel, are...
Study smarter with the SolutionInn App