• No results found

Advanced Calculus II Spring 2005

N/A
N/A
Protected

Academic year: 2021

Share "Advanced Calculus II Spring 2005"

Copied!
1
0
0

Bezig met laden.... (Bekijk nu de volledige tekst)

Hele tekst

(1)

Advanced Calculus II Spring 2005

HW #1 Due 01/28/05

Dr. D. P. Story Assignments should be neatly-written, well-organized and concise. If you miss a class and need to get an assignment, see

http://www.math.uakron.edu/˜dpstory/

All class assignments and other announcements will be posted on this web site.

§4.3, page 155, in the text

1. Problem 15. Use the definition to prove f (x) = x

2

is convex on R.

2. Problem 18. Prove the sum of two convex functions is convex.

3. Problem 20. Give an example of a function that is convex and unbounded on (0, 1).

4. Problem 21. Define

f (x) =

⎧ ⎪

⎪ ⎩

2, x = −1;

x

2

, −1 < x < 2;

5, x = 2

Show f is convex on [ −1, 2 ] but not continuous on [ −1, 2 ].

5. Problem 23. Suppose f is convex on R, prove f is continuous on R.

Referenties

GERELATEERDE DOCUMENTEN

Expatriate assignments require effort and attention to succeed (Csizmar, 2008). Only until recently companies started to use an alternative for the traditional long-term international

D the uniqueness of the inhabitants of British seaside towns Tekst 6 The allure of the British seaside.. 1p 20 How does the writer introduce the subject of this text in

Using the forward difference derivative and the Cauchy formula for repeated integration we have defined the Gr¨ unwald-Letnikov and Riemann-Liouville differintegrals. Although

reproduction and are also of family f. Program sub problems in separate methods in the correct class. Use constants when necessary.. a) Write a recursive method minimum() that for

Instructions: (10 points) Solve each of the following problems without error. Show

Through electronic funds transfer and attests that we can rely exclusively on the information you supply on ment forms: nic funds transfer will be made to the financial institution

Since the MB dealership network encompasses 315 dealerships that in some cases have different characteristics, it was determined, in cooperation with the management of

In order to clearly understand the phenomenon of leasing the following basic characteristics have to be explained: the use of the object, the independent economic value of