Let f be defined by a. Investigate the continuity of the derivatives of f . b. Use
Question:
a. Investigate the continuity of the derivatives of f .
b. Use the Composite Trapezoidal rule with n = 6 to approximate
and estimate the error using the error bound.
c. Use the Composite Simpson's rule with n = 6 to approximate
Are the results more accurate than in part (b)?
Transcribed Image Text:
0 sS0.1, f(x)=11.001 +0.03(x _ 0.1 ) +0.3(-0.1)2 +2(x-0.1), 0.1-x-0.2, 0-2)+09%-02+2-02), 02o.. 0s f(x) dx, 0.3 f(x) dr. f(x) dx
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a Because the right and left limits at 01 and 02 for f f and ...View the full answer
Answered By
Divya Munir
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
4.90+
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Let f be defined as in Problem 2-4. Show that Dxf (0, 0) exists for all , but if g 0, , then Dx + yf (0,0) =Dxf (00 Dx + y f (0, 0) = Dx f (0 , 0) + Dyf (0, 0) Is not true for all x and all y.
-
Let f be defined on [a, b], and let the nodes a = x0 < x1 < x2 = b be given. A quadratic spline interpolating function S consists of the quadratic polynomial S0(x) = a0 + b0(x x0) + c0(x x0)2 on...
-
Let f be defined on I := (a, b) and assume that f satisfies the Lipschitz condition |f(x) - f(y)| < K|x - y| for all x, y in I. If Pn is the partition of I into n equal parts, show that 0 < U (f; Pn)...
-
Why is ultraviolet light, but not infrared light, effective in making certain materials fluoresce?
-
Suppose a bank wishes to sell $150 million in new deposits next month. Interest rates today on comparable deposits stand at 8 percent but are expected to rise to 8.25 percent next month. Concerned...
-
FigureG-40is aphotographofanexposedbedding plane containing deformed portions of several trilobites. 1. Determine the strain ellipse for this rock. 2. Determine the 1 + e 1 : 1 + e 2 ratio and the...
-
Describe the differences between black box and white box component modeling.
-
Suresh Co. expects its five departments to yield the following income for next year. Recompute and prepare the departmental income statements (including a combined total column) for the company under...
-
Prepare the schedule of cost of goods manufactured for Barton Company using the following information for the year ended December 31. Direct materials used Direct labor Factory overhead Work in...
-
Arbortech, a designer, manufacturer, and marketer of PC cards for computers, printers, telecommunications equipment, and equipment diagnostic systems, was the darling of Wall Street during Year 6....
-
Repeat Exercise 13 for the integral In Exercise 13 Determine the values of n and h required to approximate To within 105 and compute the approximation. Use a. Composite Trapezoidal rule. b. Composite...
-
Show that the error E(f ) for Composite Simpson's rule can be approximated by h4/180 [f''' (b) f'''(a)].
-
Set up T-accounts for only those accounts affected by the adjusting and closing entries in Exercise 4-1. Post the adjusting and closing entries from Exercise 4-2 to the accounts, identifying...
-
Economic growth can be attained by: (1) _________________ (2) . __________________________.
-
The full-production level of our economy implies _____. a) an efficient allocation of our resources b) zero unemployment c) our plant and equipment being operated at 100 percent capacity d) a high...
-
Most of the time our economy is operating its production possibilities frontier__________.
-
In the 1990s our economy has generated more than ______million additional jobs. a) 5 b) 10 c) 15 d) 20
-
Which statement is true? a) President Eisenhower attempted to undo most of the New Deal. b) There was a major tax cut in 1964. c) The federal budget deficit was reduced during President Lyndon...
-
Find the lowest common multiple of the following numbers: a. 6, 14 b. 4, 15 c. 2, 7, 10 d. 3, 9, 10 e. 3, 7, 11
-
Could a set of three vectors in span all of? Explain. What about n vectors in when n is less than m? R4
-
Construct a histogram for the pinot noir wine rating data in Exercise 6-27. Comment on the shape of the histogram. Does it convey the same information as the stem-and-leaf display?
-
The Pareto Chart. An important variation of a histogram for categorical data is the Pareto chart. This chart is widely used in quality improvement efforts, and the categories usually represent...
-
Exercise 6-13 presented the joint temperatures of the O-rings (F) for each test firing or actual launch of the space shuttle rocket motor. In that exercise you were asked to find the sample mean and...
-
You work for the strategy department at Bank of America. They have developed a new retirement investment product and are trying to figure out the most cost effective way to encourage customers to...
-
What would be considered "accumulated taxable income" for the year?
-
Kevin and Sunny were studying for their mid-term exam on Financial Administration in Sport and discussing financial statements. Kevin stated, "The terminologies used in a balance sheet must be the...
Study smarter with the SolutionInn App