Assume that exists and (x) = 0 for all x. Prove that (x) = mx +
Question:
Assume that ƒ" exists and ƒ"(x) = 0 for all x. Prove that ƒ(x) = mx + b, where m = ƒ'(0) and b = ƒ(0).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
Let fx 0 for all x Then fx constant for all x Since f0 m we c...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Assume that f exists and f(x) = 0 for all x. Prove that f (x) = mx + b, where m = f(0) and b = f (0).
-
Prove the formula, where and are positive integers.
-
Suppose that the person with the above utility function is struck by lightning. He survives, except now his utility function is u = 1 log(x1 1) + 2 log(x2 2). Will his consumption decisions change...
-
What is the output of the following application? A. Painting: 00FF00 B. One line of code does not compile. C. Two lines of code do not compile. D. Three lines of code do not compile. E. The code...
-
Huron Group had the following direct materials data for its product: Standard costs for one unit of output Material Twinkle. . . . . . . . . . . . . . . . 20 units of input at $20 Material Star . . ....
-
Electricity can be a hazard in hospitals, particularly to patients who are connected to electrodes, such as an EGG. For example, suppose that the motor of a motorized bed shorts out to the bed frame,...
-
Reconsider the data from Problem 51. What is the capital recovery cost of Alternative 3 for a 6-year life? Data from problem 51 Alternatives 1, 2, and 3 have lives of 3, 4, and 6 years, respectively....
-
(Bond Theory: Price, Presentation, and Retirement) On March 1, 2011, Sealy Company sold its 5-year, $1,000 face value, 9% bonds dated March 1, 2011, at an effective annual interest rate (yield) of...
-
What are the ending values of x and y? Start x = 4 y=8 x = y y = x x = y End 13
-
Suppose that the Hambros in the Tuman Bay is for sale. You have gathered the following pertinent facts: (i) the property (i.e., the land and building) is worth $500,000, the equipment and furniture...
-
Sketch the graph of the function. Indicate the transition points and asymptotes. y = 1 (x + 1)
-
Sketch the graph of the function. Indicate the transition points and asymptotes. y = 4 x-9
-
In the square graphed below, what is the slope of line segment AC? A. 4 B. 2 C. 1 D. 1 E. 4 B(-4,4) A(-4,-4) y C(4,4) D(4,-4) X
-
8 Corporation Fruit issues a Section 1244 stock to shareholders in exchange for property. Prior to the exchange, the property's adjusted basis is $100 and FMV is $75. On the date of the exchange, the...
-
How do socialization agents serve as conduits for the transmission of cultural norms and values within societal structures?
-
Given the hot real estate market in Tucson, Lucy and Ricky decided to sell their home this year for $ 7 6 0 , 0 0 0 . They originally purchased the home for $ 2 0 0 , 0 0 0 . Lucy and Ricky owned and...
-
What is the Financial Services Guide? Discuss some services in the Guide for official sex procedure.
-
Impact on Taxes. James has a marginal tax rate of 12%. He suddenly realizes that he neglected to include a $7,500 tax deduction. How will this oversight affect his taxes? From question A, if James...
-
At December 31, 2015, the trial balance of Markowitz Company contained the following amounts before adjustment. Instructions (a) Prepare the adjusting entry at December 31, 2015, to record bad debt...
-
Juanita owns a home in Richardson, TX. She purchases a Homeowners Policy (HO-3) from Farm State Ins. Co. The policy provides $100,000 in liability coverage (coverage E) and $5,000 in Med Pay coverage...
-
Check this in general, without picking values for r1 and r2. The geometry behind the geometric mean is based on the following argument. If a random variable R takes on each of the values r1 and r2...
-
Fix r1 = 1. Find the value of r2 that maximizes the ratio of the geometric mean to the arithmetic mean. The geometry behind the geometric mean is based on the following argument. If a random variable...
-
Prove that the geometric mean is always less than or equal to the arithmetic mean (the arithmetic-geometric inequality) when r1 = 1 (the case described in Exercise 25). The geometry behind the...
-
On February 15, Jewel Company buys 6,300 shares of Marcelo Corp. common stock at $28.70 per share plus a brokerage fee of $480. The stock is classified as available-for-sale securities. This is the...
-
A 1.6 kg colt automatic pistol fires a 15 g bullet into a 2.5 kg wooden block suspended from the ceiling as a ballistic pendulum. The bullet becomes imbedded in the block 6.9 10-4 s after first...
-
1. A motorised gearbox has a reduction ratio of 50:1. The power input to the gearbox is 5 kW at 1440 RPM. The gearbox efficiency is 85% under maximum load conditions. The output shaft of the gearbox...
Study smarter with the SolutionInn App