a. If f : R R satisfies f1 (a) 0 for all a R, show that f

Question:

a. If f : R → R satisfies f1 (a) ≠ 0 for all a €R, show that f is 1-1 on all of R.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: Oct 01, 2009 01:32 AM

See More Questions

If f satisfies (40) for all x, it is homogeneous of degree k. Euler's theorem can be thought of as a multidimensional extension of the rule for the derivative of a power function (example 4.15). Two...
Show that F [f1 (t) f2 (t)] = 1- 2/ F1 (x) F2 ( - x) dx
Show that if f : R R is continuous, then the set {x R : f(x) = k} is closed in R for each k R.
Pick a method of accounting for bad debt. What do you like about it and why? give an example of a company where it makes sense to use that method? Why does it make sense? Also give an example of a...
As a junior congressperson you have been asked to help promote a bill to allow casino gambling in your state. There is much opposition to this bill. Using distributive bargaining, discuss the pros...
Determine the mean and variance of the random variable in Exercise 3-13.
with p-value 6 .05. Interpret this result practically.
The Ombudsman Foundation is a private not-for-profit organization providing training in dispute resolution and conflict management. The Foundation had the following pre-closing trial balance at...
The optimal portfolio: A. maximizes utility derived from non-monetary and monetary rewards. B. has the lowest level of risk for a given expected return. C. is always the market portfolio. D. none of...
In a survey of 130 people who used food delivery services, it was determined that 74 used Grubhub. 70 used Uber Eats. 41 used both Grubhub and Uber Eats. Of those surveyed, a) How many used only...
a. Let f: Rn R be a continuously differentiable function. Show that f is not 1-1. b. Generalize this result to t the case of a continuously differentiable function f: Rn Rm with m < n.
Use the function f : R R defined by f (x) = { x/2 + x2 sin (1/x) x 0, 0 x = 0.
1. Instead of focusing only on one modal alternative for their shipping, companies can use a combination of modes. Explain that approach and would this be an option for Honeycutt Warehouse and...
3. (20 points) A researcher is interested in whether the phonics method of teaching reading is more or less effective than the sight method, depending on what grade the child is in. Twenty children...
Let A and B be the matrices given below: -5 9 -7 A= 8 -1 -3 B=9 6 -1 8 -1 -7. 0 Perform the following matrix operations and enter the entries below: -4A = A-4B = 5A-3B=
The product business can be isolated into four principal classes: programming administrations, framework administrations, open source and SaaS. The accompanying depicts the classifications of...
In Exercises 21-24, use these results from the "1-Panel-THC" test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24...
Please attached excel solution with formulars. An electronics manufacturer wants to expand its market in Europe. The demand in Europe is forecasted as: England France Spain Germany Italy Sweden 9 16...
Robots trained to behave like ants. Robotics researchers investigated whether robots could be trained to behave like ants in an ant colony (Nature, Aug. 2000). Robots were trained and randomly...
Do animals have rights? If so, what are they? What duties do human beings have toward animals? Does KFC protect animal welfare at an acceptable level?
The auditor should use a standardized audit program without any modifications, for all clients. (T/F)
QUESTION 3 A business owns seven flats rented out to staff at R500 per month. All flats were tenanted Ist january 21 months rent was in arrears and as at 31st December 14 months' rent wa Identify the...
1. 2. 3. Select the Tables sheet, select cells A6:B10, and create range names using the Create from Selection button [Formulas tab, Defined Names group]. Select cells B1:F2 and click the Name box....
Tropical Rainwear issues 3,000 shares of its $18 par value preferred stock for cash at $20 per share. Record the issuance of the preferred shares. (If no entry is required for a particular...

a. If f : R R satisfies f1 (a) 0 for all a R, show that f

Question:

Step by Step Answer:

Clearly for al...View the full answer

Foundations of Mathematical Economics

Students also viewed these Basic questions