Question: 3. Let f : R - R be twice differentiable. Assume there are 3 points on the graph of f which are collinear. Prove that

3. Let f : R - R be twice differentiable. Assume

3. Let f : R - R be twice differentiable. Assume there are 3 points on the graph of f which are collinear. Prove that f has an inflexion point

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!

Q:

Noah and Joan Arc live with their family in Dayton, OH. Noahs Social Security number is 434-11-3311. Noah was born on February 22, 1987, and Joan was born on July 1, 1988. Both enjoy good health and...

Q:

Please show the process and thank you Exercise. Let F : R" - R be a differentiable function that is roughly described by the following table of values: O -3 -8 10 11 3 -2 -7 12 13 2 4 -1 -3 -5 -9 6 3...

Q:

3 ,,uoh "gram 3 Eww 3 m T mm H a 3 .2 ' m w .,.m.av>v 3. m. @3on we geonwoaoa mm H "with M'nr H E. wads + we A at. ES 0 3.8V WEE 3563 mo wow 23 E m \"9H .3 avgmeMm\" mnemagouom Aggy\"...

Q:

Kindly give out correct solutions Consider an individual with preferences represented by the following utility function: U (x1, 12) = 0; 2, 2 The individual faces prices: p1 = 0.75; p2 = 1 And has...

Q:

Hi tutor. Kindly help me solve these I1 Exercise 2. Let f: R" + R be a real-valued function on R", and Xo = E R a In point. (a) If f is differentiable at Xo, explain what it means to say that the...

Q:

That is all I have. What kind of information do we need? #3. (a) (13 points) Let F: R" + R be differentiable at a point a R". Assume F(a) = 0 and VF(a) +0. Let S = {x ER" : F(x)=0}. Using the...

Q:

All questions. 05:50:42 VA; 25% ' ASSIGNMENTNM1.pdf IQ 0+ Numerical Methods-Assignment-l Mathematical Prelimanaries, Taylor's Theorem, Order of Convergence (1) Let L be a real number and let {an} be...

Q:

need solution with steps Question 1 1 pts For each of the functions below, select the reason why it is not differentiable at x =0 .y=x1/3 [ Select ] The function has a corner at x=0. The function has...

Q:

[2 pts] Let f R R be differentiable. We say that f is convex if for all x, y R" and all t = [0, 1], f(tx+(1-t)y) tf(x) + (1-t)f(y) i.e. that the graph of f is below its chords. (a) [1 pt] Prove that...

Q:

76. A particle moves along a straight line so that at time t > 0 the position of the particle is given by s(t), the velocity is given by v(t), and the acceleration is given by 0(3). Which of the...

Q:

Calculate the probability. Just 0.1% of the people in a specific populace have a specific illness (an occurrence pace of .001). Of the individuals who have the sickness, 90% test positive when a...

Q:

Lynn is a salesperson who entertains clients at business luncheons. A business relationship exists for the entertainment, and there is a reasonable expectation of business benefit. However, no...

Q:

Cherokee Incorporated is a merchandiser that provided the following information: Amount 20,000 $ 30 $4 Number of units sold Selling price per unit Variable selling expense per unit Variable...

Q:

14. Lions at Kruger National Park in South Africa are dying of tuberculosis. All of the lions in the park may be dead within ten years because the disease is incurable, and the lions have no natural...

Q:

A box of bananas weighing 40.0 N rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.40, and the coefficient of kinetic friction is 0.20. (a) If no...

Q:

Four identical masses of 800 kg each are placed at the corners of a square whose side length is 10.0 cm. What is the net gravitational force (magnitude and direction) on one of the masses, due to the...

Q:

Consider the system shown in Fig. 6.37. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00-kg block and the table-top is...

Q:

Completed pass at Enormous State University (ESU), the football team records its plays using vector displacements, with the origin taken to be the position of the ball before the play starts. In a...

Q:

Stopping Distance (a) If the coefficient of kinetic friction between tires and dry pavement is 0.80, what is the shortest distance in which you can stop an automobile by locking the brakes when...

Q:

1-Some studies show that consumers can meet their needs without owning products, by sharing or renting products. Do you think it is possible or not possible for this to occur? Why? What types of...

Q:

11. How often have you passed on to others this type of information, which you have filled in yourself? Never, then you should think again.

Q:

9. Think of any experience that has made a very strong impression on you, and where it did not go the way you thought it would. Imagine this experience as a movie in your inner theatre. Run this...

Q:

12. Think through the last week. If you could have changed some of your behaviour, what would you have changed? How would you have changed that? What would you seek to achieve by changing your...