The equation x = cos x + sin x has a root that lies between 1
Question:
The equation x = cos x + sin x has a root α that lies between 1 and 1.4
a. Show that α is also a root of the equation
Using the iterative formula
find the value of α, giving your answer correct to 2 decimal places.
Transcribed Image Text:
X = J2 cos x – cosx IT 4
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (10 reviews)
ANSWER To show that is also a root of the equation x sqrt2 cosx pi4 we need to substitute into the e...View the full answer
Answered By
Churchil Mino
I have been a tutor for 2 years and have experience working with students of all ages and abilities. I am comfortable working with students one-on-one or in small groups, and am able to adapt my teaching style to meet the needs of each individual. I am patient and supportive, and my goal is to help my students succeed.
I have a strong background in math and science, and have tutored students in these subjects at all levels, from elementary school to college. I have also helped students prepare for standardized tests such as the SAT and ACT. In addition to academic tutoring, I have also worked as a swim coach and a camp counselor, and have experience working with children with special needs.
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
-
4value 300 pointsRequired information You did not receive full credit for this question in a previous attempt Required Complete Iguanas budgeted income statement for quarter 2 Round cost per unit in...
-
The continuous random variable X has a probability density function (pdf) given by 1 for 0 < x < 2 f(x) = { otherwise Part(a) Find the value of c correct to one decimal place given that E(X + c) =...
-
The equation x 3 + 5x 7 = 0 has a root between 1 and 1.2. The iterative formula can be used to find the value of . a. Using a starting value of x 1 = 1.1, find and write down, correct to 4 decimal...
-
Revonce Company sells merchandise on a consignment basis to dealers .The selling price of the merchandise averages 25% above cost. The dealer is paid a 10% commission of the sales price for all sales...
-
Interpret the coefficient of determination for the data set from the Hendrick Software Sales Company. Given this number, can you conclude that the way to increase sales is to increase the number of...
-
Many professors do not like having cell phones ring during class. A recent study appears to justify this reaction, by showing that a ringing cell phone can adversely affect student learning. In the...
-
A laminated \([0 / 90 / 0 / 90]_{s}\) carbon/epoxy beam is \(1 \mathrm{~mm}\) thick, \(20 \mathrm{~mm}\) wide, and has \(0.125-\mathrm{mm}\)-thick plies. The lamina properties are a. Determine the...
-
The following transactions, adjusting entries, and closing entries were completed by McHenry Furniture Co. during a three-year period. All are related to the use of delivery equipment. The...
-
Identify proposed federal or state legislation (bill) and write a short summary (no more than 2 pages in length) of the bill. Include the following information in the bill summary: Bill number (check...
-
a. Show graphically that the equation 2 x = x + 4 has exactly two roots. b. Show, by calculation, that the larger of the two roots is between 2.7 and 2.8.
-
In Exercises perform the indicated operations and simplify. 4 3x 3 X
-
Donna Corporation manufactures custom cabinets for kitchens. It uses a normalcosting system with two direct-cost categoriesdirect materials and direct manufacturing laborand one indirect-cost pool,...
-
Define business strategy, including the importance of competitive advantage, the four choices that are critical to strategy formulation, and the strategic management process.
-
Describe the two Fs, which examine the potential dangers of vertical integration.
-
Define product differentiation.
-
Suppose that a and b are int variables. Simplify the following expression: (!(a < b) && !(a > b)).
-
Where is stress concentrated in classic boudins?
-
Let's modify the logistic differential equation of Example 1 as follows: dP / dt = 0.08P(1 - P / 1000) - 15 (a) Suppose represents a fish population at time t, where is measured in weeks. Explain the...
-
In muscle tissue, the ratio of phosphorylase a to phosphorylase b determines the rate of conversion of glycogen to glucose 1phosphate. Classify how each event affects the rate of glycogen breakdown...
-
a. Find the first three terms in the expansion of (1 + px) 8 , in ascending powers of x. b. Given that the coefficient of x 2 in the expansion of (1 2x)(1 + px) 8 is 204, find the possible values of...
-
The first four terms of a geometric progression are 0.5, 1, 2 and 4. Find the smallest number of terms that will give a sum greater than 1000 000.
-
Find the sum of all the integers between 100 and 300 that are multiples of 7.
-
On January 1, 2023, Bertrand, Incorporated, paid $60,000 for a 40 percent interest in Chestnut Corporation's common stock. This investee had assets with a book value of $200,000 and liabilities of...
-
Discuss and explain each of the following organization structures. Find at least one company in one of the categories to present to the class. Entrepreneurial, Machine bureaucracy, Divisionalized...
-
Affodglass is located in the Middle East and had been acquired by the French Global Glassware Group (3G) in 2014. Its factory produces low cost and quality drinking glasses under the brand...
Study smarter with the SolutionInn App