Question: Hello, can you please help me with this exercise? Thank you. If g : [a, b] R is differentiable with piecewise continuity, we define the

Hello, can you please help me with this exercise? Thank you.

If g : [a, b] R is differentiable with piecewise continuity, we define the length of the graph of g on [a, b] to be the length of the path t (t, g(t)) for t [a, b]. (a) Prove that the length of the graph of g at [a, b] is.

ab1+g)(t)dt

b) Find the length of the graph of y = log(x) at x=1 and x=2.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Hello can you please help with this DFA exercise thank you 3. Consider modeling the problem of a farmer that has to transport a Goat, a Wolf and Cabbage in a boat across the river. Initially (start...

I need some help with the Question (3) of this MATLAB assignment, I try to run my code but it keeps giving me error, please help me to correct it, thank you! here's the details about this assignment...

Hello Tutor! Please help me on this homework assignment asap. Please indicate which question you are answering, write it on a sheet of paper (please don't type it out) for each question. If possible,...

Hii please help me with my math as i dont know what to do. it is quite long. you can ignore the parts where it says v i d for everything but please help me! INSTRUCTIONS: You've made it to the end of...

Can you please help answer all of the questions. Thanks so much! :) 144 CHAPTER 3 DIFFERENTIATION 62. Compute the derivative of f(x) = x/ using the limit definition. 70. Match functions (A)-(C) with...

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Please someone help me out, I need it fast and I will give thumbs up. Thank you. Development plan 1. Create a directory to hold assignment 5. Copy equiv.h and equiv.cpp from Assignment 4 into that...

Hello tutors, can I please get your help regarding the following question. It uses points (1) through (18) as reference. Please let me know what you think, thank you. Rules (12) - (18) essentially...

I need help with all of the following please help with answering each part my tutor hasn't been too helpful thank you 3.1 Learning Objective: To write a recursive method. Instructions: See the...

Teleshop Namibia Ltd (TeiNam) is a Namibian based company that manufactures a component required in the telecommunications industry. The company prepares budgets on a quarterly basis. You have...

Your flight has been delayed: At Denver International Airport, 70% of recent flights have arrived on time. A sample of 11 fights is studied. Round the probabilities to at least four decimal places....

5 : 5 0 PM Fri 2 7 Jun 9 6 % vle.mona.uwi.edu Question 3 : Dane Farqi is a retailer in Jamaica who had not kept a full set of books. The following is a summary of his bank statement for the year...

130 g of water is placed in a 10-g aluminum cup. Both the water and cup start at temperature 40 C. 30 g of ice at an initial temperature of 0 C is added to the water. The ice is allowed to melt and...

A supersonic flow at Mach 3.0 and y = 1.4 is to be slowed down via a normal shock in a diverging channel. For the conditions shown in the Figure below, find p2/p and pe/pi. Exit Inlet M, = 0.4 M =...

EYE SPY sells sophisticated video surveillance equipment. EYE SPY sells the equipment and computer integration services together. It does not sell these separately. The equipment cannot operate...

To prepare for the meeting, create a summary of the yields of each bond by completing the table shown in Exhibit 13. 2. Remember that the YTM of each bond is assumed to be the required rate of return...

Wells Technical Institute (WTI), a school owned by Tristana Wells, provides training to individuals who pay tuition directly to the school, WTI also offers training to groups in off-site locations....

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

The managing director of Pumpkin Ltd was reviewing the results of the company for the financial year ended 31 March 2013. The following summarised information was available: Balances as at 1 April...

A Mtoto Ltd operate as wholesale 'cash and carry' stores and in addition to its main store have two other depots. The company's summarised statement of financial position as at 31 August 2014 was as...

David Llewelyn has been advised by his bank manager that he ought to provide a forecast of his cash position at the end of each month. This is to ensure that his cash inputs will be sufficient to...