Prove that if /(a) is a continuous function, and for every interval [a,b], then /(a) = 0
Question:
for every interval [a,b], then /(a) = 0 everywhere.
Transcribed Image Text:
f (x) dx = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 64% (14 reviews)
If fx 0 0 then by continuity fx 0 in some interval x ...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) Show that the absolute value function F(x) = |x| is continuous everywhere. (b) Prove that if f is a continuous function on an interval, then so is | f |. (c) Is the converse of the statement in...
-
Prove that if f (x) is a continuous function on an interval then so is the function |f (x)| = (f (x))2.
-
Prove that if A is nonsingular then AT is nonsingular and (AT)-1 = (A-1)T
-
Refer to the information in Exercise 16-11. Using the direct method, prepare the statement of cash flows for the year ended June 30, 2017. IKIBAN INC. Comparatlve Balance Sheets June 30, 2017 and...
-
Should a prospective franchisee investigate before investing in a franchise? If so, how and in what areas?
-
a. equal to zero yields the characteristic values b. equal to \(\left[\omega_{i}^{2} ight]\) when modes are normalized c. kinetic energy of the system d. equal to zero when modes are orthogonal e....
-
What sort of marketing mix should Cato Lifts adopt if they wish to sell to: (a) non-commercial buyers? (b) international buyers?
-
Angel Sweets produces pies. The company has the following three-tiered manufacturing structure: Identify the manager responsible for each of the following costs: Repair and maintenance costs...
-
The mass of the planet Mars is approximately 6.42 1023 kg. Its mean radius is approximately 3.39 106 m. (a) Find the gravitational acceleration g on the surface of Mars using Newton's Universal Law...
-
Campbell Company manufactures and sells adjustable canopies that attach to motor homes and trailers. The market covers both new unit purchases as well as replacement canopies. Campbell developed its...
-
Use Exercise 11.2.20 to simplify the following generalized functions; then write out how they act on a suitable test function u(x): (a) p(x) = (x - 2)'(x) (b) (x) = (1 + sin x) [ (x) + ('(x)] (c)...
-
Explain in detail why there is no continuous function y(x) such that the inner product identity (11.39) holds for every continuous function u(x).
-
Prove that TIME(2 n ) TIME(2 2n ).
-
What modes are available for teams to complete their work?
-
What is the difference between internal and external audiences?
-
What are six types of content that should be included in ground rules for teams?
-
What does the role of global English as a lingua franca mean to you? How will you adjust your use of English to neutralize the predominance of English in business communications?
-
What are five positive actions that can help a team achieve its goals?
-
Which of the following transactions will require a journal entry? Indicate if it will be a debit or a credit and to what account the entry will be recorded. Transaction Outstanding check Interest...
-
Why are stocks usually more risky than bonds?
-
Show that the shortest distance from the point (x1, y1) to the straight line Ax + By + C = 0 is |Ax, + By, + C VA + B
-
Find the point on the hyperbola xy = 8 that is closest to the point (3, 0)
-
Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r.
-
Describe a time when you had to stop a client's violent or destructive behaviour. What did you do? What would you have done differently?
-
Analyze the integration of digital technologies, such as process simulation, computational fluid dynamics (CFD), and advanced control systems, in achieving process intensification, focusing on...
-
When monochromatic light of an unknown wavelength falls on a sample of copper, a minimum potential of 2.49 V is required to stop all of the ejected photoelectrons. (The work function for copper is...
Study smarter with the SolutionInn App