## Question

###### 13 Suppose f is continuous function on [a, 6]. If for every continous function g on [a, 6] with g(a) 9(6) 0 it holds that Ja f()g(w)dx 0. show that f () 0 for all x â‚¬ [a,6].

13 Suppose f is continuous function on [a, 6]. If for every continous function g on [a, 6] with g(a) 9(6) 0 it holds that Ja f()g(w)dx 0. show that f () 0 for all x â‚¬ [a,6].

## Answers

#### Similar Solved Questions

5 answers

##### O. After absorbing 1.8J0 kJ of energy heat; the temper- ature of a 0.500-kg block of copper is 37 C. What was its initial temperature? 11. 45.5-g sample of copper at 99.8 *C is dropped into a beaker containing 152 g of water at 18.5 %C What is the final temperature when thermal equilibrium is reached? 12. One beaker contains 156 g of water at 22 %C,and a second beaker contains 85.2 g of water at 95 %C The water in the two beakers is mixed. What is the final water temperature? 182-g sample of gol

o. After absorbing 1.8J0 kJ of energy heat; the temper- ature of a 0.500-kg block of copper is 37 C. What was its initial temperature? 11. 45.5-g sample of copper at 99.8 *C is dropped into a beaker containing 152 g of water at 18.5 %C What is the final temperature when thermal equilibrium is reache...

5 answers

##### Which set of parametric equations represents the following function?Y=Nx+3x(t) = St ~()-15+3B. x(t)=5t y()= +3x(t) = 5' Y(9) = 15+3x(4) = 3' y(c) = V34+

Which set of parametric equations represents the following function? Y=Nx+3 x(t) = St ~()-15+3 B. x(t)=5t y()= +3 x(t) = 5' Y(9) = 15+3 x(4) = 3' y(c) = V34+...

5 answers

##### (Nonlinear dynamical systems: FitzHugh-Nagumo) Consider the FitzHugh-Nagumo model of a neuron,v' = f(v) - w + Iapp' wwhere f (v) = v(1 - v)(v - 1.4),T = 100, and Iapp > 0 is a positive parameter: (Note that this version of the FitzHugh-Nagumo model differes slightly from the one I presented in lecture:) (a) Calculate the Jacobian matrix (b) Suppose that there is no applied current lapp 0) . Draw phase diagram including the nullclines and the sign of v and w' Determine the fixed

(Nonlinear dynamical systems: FitzHugh-Nagumo) Consider the FitzHugh-Nagumo model of a neuron, v' = f(v) - w + Iapp' w where f (v) = v(1 - v)(v - 1.4),T = 100, and Iapp > 0 is a positive parameter: (Note that this version of the FitzHugh-Nagumo model differes slightly from the one I pre...

5 answers

##### A Realtor claims that no more than half of the homes he sells are sold for less than the asking price_ When reviewing random sample of 15 sales over the past year; he found that actually 10 were sold below the asking price.(a) The assumption of normality is justified.Yes No(b-1) Calculate p-value for the observed sample outcome; using the normal distribution. (Round your z-value to 2 decimal places_ Round your answer t0 4 decimal places )p-value1320(b-2) At the .05 level of significance in a rig

A Realtor claims that no more than half of the homes he sells are sold for less than the asking price_ When reviewing random sample of 15 sales over the past year; he found that actually 10 were sold below the asking price. (a) The assumption of normality is justified. Yes No (b-1) Calculate p-value...

5 answers

##### In problemg 4 and 5, show that each of the functions on the left is 8 3-parameter family of solutions of the differential equation on its right: 4. U = C1 + cez + C3z2 _ V ~ 3y" + 3 _ v - e = 0.

In problemg 4 and 5, show that each of the functions on the left is 8 3-parameter family of solutions of the differential equation on its right: 4. U = C1 + cez + C3z2 _ V ~ 3y" + 3 _ v - e = 0....

5 answers

##### Consider $mathbf{u}=langle a, b, cangle$ a nonzero three-dimensional vector. Let $cos alpha, cos eta$, and $cos gamma$ be the directions of the cosines of $mathbf{u}$. Show that $cos ^{2} alpha+cos ^{2} eta+cos ^{2} gamma=1$

Consider $mathbf{u}=langle a, b, c angle$ a nonzero three-dimensional vector. Let $cos alpha, cos eta$, and $cos gamma$ be the directions of the cosines of $mathbf{u}$. Show that $cos ^{2} alpha+cos ^{2} eta+cos ^{2} gamma=1$...

5 answers

##### A circular hole in an aluminum plate is $2.725 mathrm{~cm}$ in diameter at $12^{circ} mathrm{C}$. What is its diameter when the temperature of the plate is raised to $140^{circ} mathrm{C}$ ?

A circular hole in an aluminum plate is $2.725 mathrm{~cm}$ in diameter at $12^{circ} mathrm{C}$. What is its diameter when the temperature of the plate is raised to $140^{circ} mathrm{C}$ ?...

3 answers

##### Assignment: Problems 1 and 2 are really better suited for 'The Logic and Brilliance of Perry Mason' But they also act as a lesson about the democracy of the United States of America_ Joe Dirtbag has been arrested for murder: The police saw him do it: Cameras recorded it: He has been in and out of prison multiple times. He is ugly and is foul person:1. Is he automatically guilty?2. Is it possible that he can be found 'not guilty ina court of law?3. Draw a conclusion: All math profe

Assignment: Problems 1 and 2 are really better suited for 'The Logic and Brilliance of Perry Mason' But they also act as a lesson about the democracy of the United States of America_ Joe Dirtbag has been arrested for murder: The police saw him do it: Cameras recorded it: He has been in and...

5 answers

##### Ifa certaiz 370r3:o: NADPH is cridized Ten "erz d-on? 6ut che t2/ NADF 9feases Dy simili amount Wrerefore VJU couldeetherazoo NADFH NAD?- - Fredict whether ?FF Elycolysis wouldbe Iore ZCdteIfte ratio ofNAD?H NADF1O Ibich pathway wculd b2 more CtivzIfte ratio ofNAD?H NADF0.10,whick pathway would be more aoivz Calculate te o:ATP =oleziles fcrmed fom oridatior ofthe 18.0 fatty arid To helpyou belowite Gration Cescribing th: corpletz Jdation Diltitate (160): Palmitoy CA FAD 7 NAD+ 7 CoA 7 HzO)

Ifa certaiz 370r3:o: NADPH is cridized Ten "erz d-on? 6ut che t2/ NADF 9feases Dy simili amount Wrerefore VJU couldeetherazoo NADFH NAD?- - Fredict whether ?FF Elycolysis wouldbe Iore ZCdte Ifte ratio ofNAD?H NADF 1O Ibich pathway wculd b2 more Ctivz Ifte ratio ofNAD?H NADF 0.10,whick pathway w...

5 answers

##### NO3resonance structures for the species shown on the aiqeuosejj Dighe all

NO3 resonance structures for the species shown on the aiqeuosejj Dighe all...

5 answers

##### Part &Name the aldehydo displayod belowEnter the neme,Vlaw Avalllsle Hint(e)5-bromaoclanaSubmiProvloun AnawoteIncorrect; Try Agein; One attempt remalnlng

Part & Name the aldehydo displayod below Enter the neme, Vlaw Avalllsle Hint(e) 5-bromaoclana Submi Provloun Anawote Incorrect; Try Agein; One attempt remalnlng...

5 answers

##### 'nd Erk are Purcheslns home. They wish to gave monty tor [2 years &nd purchuse ijuse tht ts a vJ Uc 0( 5170,XX wih cash; they deposii money Into an scounk ptying ` Interesl (omnoundcd monuly; nOw Much Qo !ney necu t0 Ocpotit cuch monlh E crder [0 Maka Ihc purchasc/ Round yaur anshy tnc necrost naaxFormulnPratd How[o #ritt Yout JntwctKeypad Kcytoatd shortcun

'nd Erk are Purcheslns home. They wish to gave monty tor [2 years &nd purchuse ijuse tht ts a vJ Uc 0( 5170,XX wih cash; they deposii money Into an scounk ptying ` Interesl (omnoundcd monuly; nOw Much Qo !ney necu t0 Ocpotit cuch monlh E crder [0 Maka Ihc purchasc/ Round yaur anshy tnc necr...

5 answers

##### ColedeHaticnn Gnd OniParaphrasin, JoolReclil = Ihe ord 3 Advsct|(x) = 3 + 2x2 Find the IntervalIncrease- (Enter your answer using Intcnya norationa)Flnd the Intervadecrense (Enter vour ansker uslng Intenia nordtoneJocal minimum value(s) (Enter Your answerscomma-scparated Ilst , Ian ansker Coes not exlst, enter DNE )Flnd the loca maxmnum value(s) - (Enter Your ansretCDMu-#paratcoan Wnaci dots not exist, enter DNE )(c) Find the Inflection points (XY) (smallcr X-value)(larger X-value)concave upwar

Colede Haticnn Gnd Oni Paraphrasin, Jool Reclil = Ihe ord 3 Advsct| (x) = 3 + 2x2 Find the Interval Increase- (Enter your answer using Intcnya norationa) Flnd the Interva decrense (Enter vour ansker uslng Intenia nordtone Jocal minimum value(s) (Enter Your answers comma-scparated Ilst , Ian ansker ...

5 answers

##### How would you convert cyclohexanone to each of the following compounds?OEt

How would you convert cyclohexanone to each of the following compounds? OEt...

5 answers

##### The Jk yiut LuuipuleE Comipanyconsuem Clant Exnansn Unable tlie cnnany Demin producticn @umnic Meducl_ Iletemm company < plesidet Must wtctrar maki MeiM meoui Aala plojecl Demad (ex Ilc rw prcdec t uncortull_ wlh planning demnallae hlah cemand Wutui= Uem-ud nobatilit estimale: demarid ald 0.50, resrectively: latting Indicali nnuj thousaIdy af dcnns t ninne develored Iclla Nlrig profit Lcne mnedium Vy" 'cila ealitun VodasHetlLitn-SoIAEExpausinn ProfltExpantsion ProlitucranoHcutlluWig

The Jk yiut LuuipuleE Comipany consuem Clant Exnansn Unable tlie cnnany Demin producticn @umnic Meducl_ Iletemm company < plesidet Must wtctrar maki MeiM meoui Aala plojecl Demad (ex Ilc rw prcdec t uncortull_ wlh planning demnallae hlah cemand Wutui= Uem-ud nobatilit estimale: demarid ald 0.50, ...

5 answers

##### For DNA barcoding of several possible species, all species need to share sequences in the flanking region surrounding the variable part of the COl gene Why?HTML Editorea] B I 4 A ` A - I = 3990 * * E F @- E & DJ M T 12pt Paragral

For DNA barcoding of several possible species, all species need to share sequences in the flanking region surrounding the variable part of the COl gene Why? HTML Editorea] B I 4 A ` A - I = 3990 * * E F @- E & DJ M T 12pt Paragral...

5 answers

##### Complete the following figure by filling all seven boxes (10 marks):AcoclomatesTissuesBilateral Symmetry The Rest Inree Rerm MietsPseudocoelomates:Coelomates:{Issuc nucRadial SvrTrue L tussue;ProtostomeDruterostome

Complete the following figure by filling all seven boxes (10 marks): Acoclomates Tissues Bilateral Symmetry The Rest Inree Rerm Miets Pseudocoelomates: Coelomates: {Issuc nuc Radial Svr True L tussue; Protostome Druterostome...

5 answers

##### Points) Use the simplex method to maximizeP = 3x1 + Sx2 4x3subject to~X]+ X2 + 10x3 < ~X1 + 2x2 + 1x3 < 2 X1 + 1x2 + 4x3 < 6X1 > 0X2 > 0X3 > 0P =

points) Use the simplex method to maximize P = 3x1 + Sx2 4x3 subject to ~X] + X2 + 10x3 < ~X1 + 2x2 + 1x3 < 2 X1 + 1x2 + 4x3 < 6 X1 > 0 X2 > 0 X3 > 0 P =...

5 answers

##### Consider the telescoping series X(7-Jti) Use your expression for Sn to determine whether (-7+) converges diverges. If it converges, then find the sum: Ifit diverges, then explain why:

Consider the telescoping series X(7-Jti) Use your expression for Sn to determine whether (-7+) converges diverges. If it converges, then find the sum: Ifit diverges, then explain why:...