The equation In x 2 - 6/2 = x - 5 has a root , such that
Question:
The equation In x2 - 6/2 = x - 5 has a root α, such that p < α <q, where p and q are consecutive integers.
a. Show that α also satisfies the equation x = ln x + 2.
b. Find the value of p and the value of q.
c. Use the iterative formula based on the equation in part a with starting value x = p, to find the value of α correct to 3 decimal places.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
ANSWER a To show that also satisfies the equation x ln x 2 we need to substitute into this equation ...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The equation x 4 1 x = 0 has a root, , between x = 1 and = 2. a. Show that also satisfies the equation b. Write down an iterative formula based on the equation in part a. c. Use your iterative...
-
a. Show graphically that the equation cot x = sin x has a root,, which is such that 0 < < /2. b. Show that the equation in part a can be rearranged as x = sin 1 cos x. c. Using an iterative formula...
-
a. By sketching a suitable pair of graphs, show that the equation 7 - x 6 = |x 2 - 1|has exactly two real roots, and , where is a positive constant. b. Show that satisfies the equation c. Write...
-
D. Prepare the consolidation worksheet journal entries to eliminate the effects of inter-entity transactions as at 30 June 2017. On 1 July 2013 Douglas Ltd acquired all of the share capital (cum...
-
Identify five specific sales-call prospects for your business. Prequalify the prospects using these questions: 1) Is the prospect in my market? 2) Does he/she need my product/service? 3) Will my...
-
If the ERP package implemented by the Sloan Valve Company vaguely supported the business as it existed and it was not crafted to support any new business process that we wanted, according to the CEO,...
-
In early 2006, Henry Silverman, chairman and CEO of Cendant Corporation, announced that the companys board of directors had approved the de-merger of Cendant into four operating companiesAvis Budget...
-
At December 31, 2015, certain accounts included in the property, plant, and equipment section of Townsand Companys balance sheet had the following balances: Land............ $ 100,000...
-
Would a Financial Manager's role (functions) in a corporation increase or decrease in importance if the rate of inflation in the economy was increasing? (Why? How? What to do?)
-
Express the following proper fractions as partial fractions. a. b. c. d. 2x-3x+2 x(x + 1)
-
a. Express in partial fractions. b. Hence obtain the expansion of in ascending powers of x, up to and including the term in x 3 . 7x + 4x + 4 (1-x)(2x +1)
-
Determine the simple payback period of installing a heat recovery system at a cost of $1.25/cfm for a 10,000-cfm makeup air system in a laboratory located in Chicago, Illinois. The indoor temperature...
-
lodine-131 has a half-life of 8.040 d. After 2 weeks, how much is left of a 550 g sample?
-
The Benildean Corp is company involved in developing software products for banks and financial institutions. The firm's current software project requires an initial investment of P5 million and has...
-
Do you think the medical records were actually lost, or were they intentionally lost? Explain your answer.
-
Write a program to produce the shape below on CNC lathe machine. The stock is a cylinder with a diameter of 9 0 ?mm and a length of I 4 0 ?mm . ?Use two tools, the first one for roughingjand the...
-
Watch a broadcast news show on television (ABC, CBS, or NBC) or on their Internet outlets. Do you think that what you see constitutes ethical speaking or was there clear bias in the presentation?...
-
The graph of the total revenue R(x) (in dollars) from the sale of x cordless electric screwdrivers is shown in the figure. (A) Write a brief description of the graph of the marginal revenue function...
-
General Electric Capital, a division of General Electric, uses long-term debt extensively. In a recent year, GE Capital issued $11 billion in long-term debt to investors, then within days filed legal...
-
In a study of the effects of types of study on exam performance, subjects are randomly assigned to one of two conditions. In one condition, subjects study in a traditional manneralone using notes...
-
Researchers interested in the effects of caffeine on anxiety have randomly assigned participants to one of two conditions in a studythe nocaffeine condition or the caffeine condition. After drinking...
-
Gerontologists interested in the effects of aging on reaction time have two groups of subjects take a test in which they must indicate as quickly as possible whether a probe word was a member of a...
-
Provide an example of how you used the observation tool to record meaningful and accurate information. Attach proof of your recorded observations to your portfolio. Make sure you document your...
-
you buy 3 0 0 0 0 shares of rangers company preferred stock at $ 4 4 per share. every quarter you get a $ 1 . 2 5 preferred dividend for each share of stock. exactly one year later you sell the...
-
Suppose a project has the following cash flows: Year 0 : - 2 5 million dollars Year 1 : 8 million dollars Year 2 : 1 0 million dollars Year 3 : 1 2 million dollars Year 4 : 1 4 million dollars What...
Study smarter with the SolutionInn App