Can someone help me understand this problem. I need to know which of the appropriate axioms and theorems and which method of proof you may use (e.g., direct proof, proof by construction, proof by contradiction, proof by induction, etc.). for answering this problem.

Exercise 4.4.5. Let F:R->R be a function. Suppose that f is differentiable, that f(0)=1 and that |f'(x)| less than or equal to 1 for all x E R. Prove that |f(x)| less than or equal to |x|+1 for all x E R.

I’m also trying to understand how to do the problem. It has been awhile since I’ve done differentiable problems.

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

I need to know what these three court records mean

Dr. Robert Couch bound over to this Court for making Verses tending to the reproach of the late Govr Richard Bellingham Esqr & of the Ministers: The Court Sentanceth him to give in bond for the good behavior ten pounds himselfe & five pounds apiece two Sureties. 

Sarah Carpenter, presented upon strong suspicion of being wth Childe, the Court ordered she should bee Searched by mrs Parker, mrs Williams, & mrs Sands who made return wth Goodwife Tailor a midwife, that she was not wth Childe. 

The Court having taken into consideracion the many means yt have beene used with the Church of Brantry & hitherto nothing done to efect as to the obtaining the Ordinances of Christ amongst them, The Court Orders & desiries Mr. Moses Fiske to improve his Labours in preaching the word at Brantry untill the Church there agree & obtayne supply for the worke of the Ministry or this Court take further Order 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

I need to know what the alternative economic futures for big drive auto a part store if the economy remains the same, better, or worse.

I need to know what the alternative economic futures for big drive auto, a part store if theeconomy remains the same, better, or worseAnswerIn case of the economy remaining the same, better or…

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

I need to know the substantive differences and similarities between the major database vendors (Oracle, Microsoft SQL, Amazon, MongoDB) I would like to know how someone chooses between them. What are the differences between SQL and NOSQL vendors and how are they used in the IT industry. Are any of them specialized or better for certain tasks or data? Also I would like to know their relative popularity. Which is used most frequently?

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

I need to know the specifics for creating an excel worksheet for the following problem. I can get it started but the new excel is throwing me off.Design and describe a computer-based simulation model that you will use to estimate the probability that among 25, 50, 75, 100, or 1000 randomly selected people, at least 2 people share the same birthday. Then I need to run the progam for sufficient iterations fro 25, 50, 75, 100, and 1000 randomly selected people and collect the data in a table.

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"