5

Let U be an open subset of Rm. There exist Cl functions on U that are not differentiable at every point of U.truefalseSave Answer03 Question 3 PointIf a function is...

Question

Let U be an open subset of Rm. There exist Cl functions on U that are not differentiable at every point of U.truefalseSave Answer03 Question 3 PointIf a function is smooth, then it is also C1 .truefalse

Let U be an open subset of Rm. There exist Cl functions on U that are not differentiable at every point of U. true false Save Answer 03 Question 3 Point If a function is smooth, then it is also C1 . true false



Answers

True or False If a function $f$ is defined and continuous on a closed interval $[a, b],$ differentiable on the open interval $(a, b)$ and if $f(a)=f(b),$ then Rolle's Theorem guarantees that there is at least one number $c$ in the interval $(a, b)$ for which $f(c)=0$

This problem, we're given the truthful statement that we want to analyze this one says that if a function is continuous on a closed interval A to B and F of a does not equal F of B. Um but both f of a is greater than zero and FAB is greater than zero. Then, according to the intermediate value theorem, F does not have a zero on the open interval from A to B. And we said that this is true. Um and the reason why we know this is true is because um there is a continuous closed interval from A to B. So if we look at for example, X squared, We look at the interval from, say, 1 to 2 Or 1122. We see there's a continuous closed interval, both of them are greater than zero, and we know that they have to take on every value from here to here. There's no way that it can dip down to two because if it did so then um F of A wouldn't be great, and through an FsB wouldn't be greater than zero. However, because we know that um it's continuous, we could technically have this come down here, come back up, and F A would still be greater than zero, and F B would still be greater than zero. The statement would be false.

We have a statement that the second derivative at X equals C is either zero or non differential. We have a true false statement that says, then the point of CFC is an inflection point. If we were to run the second derivative test, just because the derivative is zero or non differentiable, doesn't mean that there would necessarily have to be a change in the sign of the second derivative. For instance, it could be positive on both sides or negative on both sides, who are positive on both sides. I would indicate that it's concave up on both sides and therefore there is no direction change. So the statement that they have given us is a false one.

We are told the second derivative equals zero or it's non differential. We want to know if that means that the point CFC isn't inflexible. So if we were to run the second eroded test, if we have a point that's either zero or non differential doesn't mean can cavity switches? Well, that's not necessarily true. You could have positive derivatives on both sides or they could be negative on both sides. It doesn't necessarily mean that there is a switch. So that's a false statement.

Um This I'm simple. First few problems I'm just going to do in one video here. So they asked the first question is, is true or false. The domain of a function F. And the domain of its derivative function F prime are always equal. Well, that's not true. You can see that um you know, you could have a discontinuous function and then, you know, at this point the derivatives not defined and that it could be defined for all values if this is open and this is a closed end or even the simpler one is just anything with a kink in it, like um absolute value of X, then derivative at this point here, it doesn't exist because the limit as you come from both either side is different, so that is false. And then the next one is if a function is continuous at sea than is differentiable at sea. Well, no, again, you can look at the absolute value function and it's continuous here. The point, they agree function agrees at this point. But the derivative doesn't exist there because the limit coming from both sides. Either side is zero or is different. And then um they ask if F is a continuous, is if F is continuous at sea. And the limit as X approaches C. Of F. Of x minus FFC of all over X minus C is is infinite. Then the graph of F has a, well it's a vertical tangent line so the derivative is infinite. That means that the slope is infinite. Which means that the line is approaching vertical. Does the slope goes to infinity? Um And then the next one the the instruction differentiate F means to what to find the blank of F. Well that means just to find the derivative. So differentiate and the derivative are the same kind of basically indicate the same thing. So if somebody asks you to differentiate something that means just find the derivative of it, I guess I don't know why delivery eight, maybe it didn't sound so good. So they have differentiate. Um. Yeah. Okay so and I think there's really not a whole lot to say about those ones. That's pretty. This is just pretty much a definition. Um To take the derivative of something is to differentiate it.


Similar Solved Questions

5 answers
Which of the following reactions will have positive change in entropy? Choose all that applyDecomposition of potassium chlorateElectrolysis of liquid waterCombustion of hexane (with formula C6H12liquid fuel,at 258CFormation reaction of sodium chlorideFormation of solid ammonium chloride from reaction of ammonia and hydrogen chloride gas in closed chamber
Which of the following reactions will have positive change in entropy? Choose all that apply Decomposition of potassium chlorate Electrolysis of liquid water Combustion of hexane (with formula C6H12 liquid fuel,at 258C Formation reaction of sodium chloride Formation of solid ammonium chloride from r...
5 answers
Solve the following inequality.Write your answer uslng Interval notation:(,D) [,O] (O,0][O,D)DUD
Solve the following inequality. Write your answer uslng Interval notation: (,D) [,O] (O,0] [O,D) DUD...
3 answers
Find the standard matrix of the linear transformation that first projects points into the horizontal .1-axis and then rotates points clockwise T radians.
Find the standard matrix of the linear transformation that first projects points into the horizontal .1-axis and then rotates points clockwise T radians....
5 answers
(mfs) D) (mfs) E) 10 (m/s)(m s) B) (m/s)
(mfs) D) (mfs) E) 10 (m/s) (m s) B) (m/s)...
5 answers
Question 4Below are the jersey numbers of 12 deviation for the given 'players randomly selected from sample data: Leave your answer to football team Find the standard 88,14,29,97,84,31,12,19,16,52, 83, 16 the nearest hundredths,Please use this formula to get correct answer: SS = Ex2 (Ex)2 SS S = n n-1
Question 4 Below are the jersey numbers of 12 deviation for the given 'players randomly selected from sample data: Leave your answer to football team Find the standard 88,14,29,97,84,31,12,19,16,52, 83, 16 the nearest hundredths, Please use this formula to get correct answer: SS = Ex2 (Ex)2 SS ...
5 answers
Suponga que para una compania la funcion de ingreso (en dolares) esta dada por R(x) ~0.12x3 + 1,296x + 4309 donde X representa el numero de unidades vendidas. Entonces el ingreso maximo es:Seleccione una: a. S56149.00b. S30229.00S4369.00d. S4249.00 Ninguna de Ias otras alternativas.
Suponga que para una compania la funcion de ingreso (en dolares) esta dada por R(x) ~0.12x3 + 1,296x + 4309 donde X representa el numero de unidades vendidas. Entonces el ingreso maximo es: Seleccione una: a. S56149.00 b. S30229.00 S4369.00 d. S4249.00 Ninguna de Ias otras alternativas....
5 answers
PILZS Tbe length ol # Dencil % supposed t0 fit within thc tolcrance 7.25 = Q05 in Putt , hat bccn pomally dutribulcd with 72 and proxductioa 0.02 in: Howcvd, duc lo Ncat machinan: Ancrexsed to 0.025 in; but the mcan has rcmaincd constant Whal Der toleraece used Lo produce Ube Lamc Percenlage o Sci4p limit Mi e Pencils brlorc thc incteak Eal
PILZS Tbe length ol # Dencil % supposed t0 fit within thc tolcrance 7.25 = Q05 in Putt , hat bccn pomally dutribulcd with 72 and proxductioa 0.02 in: Howcvd, duc lo Ncat machinan: Ancrexsed to 0.025 in; but the mcan has rcmaincd constant Whal Der toleraece used Lo produce Ube Lamc Percenlage o Sci4p...
5 answers
Find the radius of convergence 4x2 8x3 1 +2x + 16x4 2! 31 + 4!
Find the radius of convergence 4x2 8x3 1 +2x + 16x4 2! 31 + 4!...
5 answers
Find the second-degree Taylor polynomial for f(x) = 4x2 7x + 2 about % do you notice?0_ What
Find the second-degree Taylor polynomial for f(x) = 4x2 7x + 2 about % do you notice? 0_ What...
5 answers
Iz/NaoHPlcase draw Ov+ the mechanism for tnis reactionBrz HOAcpiease clrawv out the mechanism for this reaction.
Iz/NaoH Plcase draw Ov+ the mechanism for tnis reaction Brz HOAc piease clrawv out the mechanism for this reaction....
5 answers
This is the second time I had to post this. The answer is notthe third one from the top.Please review carefully and provide which one is correct. Ifpossible with drawing of correct answer
This is the second time I had to post this. The answer is not the third one from the top. Please review carefully and provide which one is correct. If possible with drawing of correct answer...
5 answers
X 1 Differentiate the function Y = flx) = with respect to x 2xf"x)Therefore,1 + [F '(x)]? = 1 + (7
x 1 Differentiate the function Y = flx) = with respect to x 2x f"x) Therefore, 1 + [F '(x)]? = 1 + (7...

-- 0.023444--