Let These exercises show that has an unusual property All of its derivatives at x 0 exist and are equal to zero Show that (0) exists and is equal to zero Also, verify that (0) exists and is equal to zero Je 1 2 0 f(x) for x 0 for x 0...

Working from the definition fx f0 x0 by the previous exe ...

Let These exercises show that has an unusual property: All of its derivatives at x =

Question:

Let -Je-1/2 0 f(x) = for x # 0 for x = 0

These exercises show that ƒ has an unusual property: All of its derivatives at x = 0 exist and are equal to zero.

Show that ƒ"(0) exists and is equal to zero. Also, verify that ƒ"(0) exists and is equal to zero.

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

Step by Step Answer:

Related Book For answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Dec 01, 2023 03:08 AM

See More Questions

Let These exercises show that has an unusual property: All of its derivatives at x = 0 exist and are equal to zero. Data From Exercise 70 -Je-1/2 0 f(x) = for x # 0 for x = 0
Show that for k 1 and x 0, for some polynomial P(x) and some exponent r 1. Use the result of Exercise 71 to show that (k) (0) exists and is equal to zero for all k 1. Data From Exercise 71 Let...
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
Examine your own organisation, or one that you know. What forms of pre-departure training does it offer?
Assume that Social Security promises you $40,000 per year starting when you retire 45 years from today (the first $40,000 will come 45 years from now). If your discount rate is 7%, compounded...
In the current year, Harrisburg Corporation had net income of $35,000, a $9,000 decrease in accounts receivable, a $7,000 increase in inventory, an $8,000 increase in salaries payable, a $13,000...
On January 2, 2018, The Register, a science and technology news site based in Britain, published an article revealing the existence of two major bugs leaving virtually all computers and smartphones...
The following is Sullivan Corp.'s comparative balance sheet accounts at December 31, 2010 and 2009, with a column showing the increase (decrease) from 2009 to 2010. Additional information: 1. On...
For each number-line diagram, list the fractions represented by the arrows. (a) (Use a comma to separate answers as needed. Do not simplify.) (b) (Use a comma to separate answers as needed. Do not...
The Second Derivative Test for critical points fails if "(c) = 0. This exercise develops a Higher Derivative Test based on the sign of the first nonzero derivative. Suppose that (a) Show, by applying...
Find the derivative using logarithmic differentiation as in Example 7. Example 7 y = (x 3 + 1)(x 4 + 2)(x 5 + 3) 2 Find the derivative of f(x) = (x + 1)(2x-3) x +1
Foster Enterprises stock is trading for $50 per share and there are currently 10 million shares outstanding. It would like to raise $100 million. If its underwriter charges 5% of gross proceeds, a....
It is possible that Joe and Bob have not maximized their profit in May if they have market power. In order to maximize their profit, they may need to adjust their pricing. It is important to note...
Wildhorse tested the equipment for impairment on December 3 1 , 2 0 2 4 , after recording the annual depreciation expense. It was determined that the equipments recoverable amount was $ 3 4 9 , 0 0 0...
Why are Republican and Democratic politicians more likely to respond to more affluent, wealthier individuals? Explain briefly
Why are safeguards an essential part of most trade agreements? What are countervailing and antidumping duties, and what must a country demonstrate to impose them?
What were the terms of China's admission to the WTO, and has its admission been good for China and the WTO? Why is Russia still not a WTO member? What are some of China's and Russia's trade conflicts...
List three things that might conveniently be measured in millilitres.
Given the table below, about how much force does the rocket engine exert on the 4.0 kg payload? Distance traveled with rocket engine firing (m) Payload final velocity (m/s) 500 320 490 310 1020 450...
In addition to the hard-drive-based iPod, Apple produces a flash-based audio player. Its 512MB iPod Shuffle (which does not have a hard drive) sold for $99 in 2005. According to iSuppli, Apple's...
Suppose that all iPod owners consider only two options for downloading music to their MP3 players: purchasing songs from iTunes or copying songs from friends. With these two options, suppose the...
Draw an example of a monopoly with a linear demand curve and a constant marginal cost curve. a. Show the profit-maximizing price and output, p* and Q*, and identify the areas of consumer surplus,...
Explain the steps that should be taken by an internal accountant/CMA when there is a difference of opinion with one's supervisor on an accounting or financial reporting manner.
Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.025 with 18 degrees of...
Suppose you calculate a 95% confidence interval for a proportion to to be: 0.28 to 0.92. Determine the margin of error.

Let These exercises show that has an unusual property: All of its derivatives at x =

Question:

-Je-1/2² 0 f(x) = for x # 0 for x = 0

Step by Step Answer:

Working from the definition fx f0 x0 by the previous exe...View the full answer

Calculus

Students also viewed these Mathematics questions