5

# Find the absolute maximum and minimum values of f on D. (a) f(x,y) = x2+y2 2x; D is the closed triangular region with vertices (2,0), (0,2), and (0,-2)_ Answer: max...

## Question

###### Find the absolute maximum and minimum values of f on D. (a) f(x,y) = x2+y2 2x; D is the closed triangular region with vertices (2,0), (0,2), and (0,-2)_ Answer: max: f(0,+2) = 4; min: f(1,0) = -1 (b) f(x,Y) = 4x?+Y; D = {(X,y)lx? +y2 < 1} Answer: max: f(+1,0) 4; min: f(0,0) = 0 Find three positive numbers whose sum is 60 and whose product is maximum Hint: The problem can read: max *YZ , subject to (xY,zi Thus for example it can be reformulated a5; maxxy(60 ~y) KY with each component being pos

Find the absolute maximum and minimum values of f on D. (a) f(x,y) = x2+y2 2x; D is the closed triangular region with vertices (2,0), (0,2), and (0,-2)_ Answer: max: f(0,+2) = 4; min: f(1,0) = -1 (b) f(x,Y) = 4x?+Y; D = {(X,y)lx? +y2 < 1} Answer: max: f(+1,0) 4; min: f(0,0) = 0 Find three positive numbers whose sum is 60 and whose product is maximum Hint: The problem can read: max *YZ , subject to (xY,zi Thus for example it can be reformulated a5; maxxy(60 ~y) KY with each component being positive. From this; You may conclude x Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane 2x Sy 30. Clue: Try to use the hint given for Problem 14.81.

#### Similar Solved Questions

##### (d)dx V9-x(x = 3sin(8))
(d) dx V9-x (x = 3sin(8))...
##### Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial value problem y' =7x2 +2y2; Y(O) = 1The Taylor approximation to three nonzero terms is y(x)
Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial value problem y' =7x2 +2y2; Y(O) = 1 The Taylor approximation to three nonzero terms is y(x)...
##### Bpoint)A 4 MC point charge is placed at the origin as shown in the figure above, where a = 1.2 cm b = 2.8 cm; c = 1.7cm, and d = 3.3cm Find the potential at the points A, B and C: VA VBVc
B point) A 4 MC point charge is placed at the origin as shown in the figure above, where a = 1.2 cm b = 2.8 cm; c = 1.7cm, and d = 3.3cm Find the potential at the points A, B and C: VA VB Vc...
##### Table 1, Electrochemical Series Dala Galvanic Cell Eccl (V) Eleetrode Elcctrode Material Connection Elcctrode WA cuII"'OA Function Electrochemical (anede U catnodlei Half-Reaction Znlzn"* and (lcys Com Cu" ICu anace ZnCs) 57c"+ Zn" {3 Cu VNC CatLa â‚¬ Iolz LCu Gsk CujCu + 0,469 Cu aud Mi Ga Alcd â‚¬ Cu' Gza_ Culr) IPb Pb Oh Anod â‚¬ Pb () - z2 +" Gac7 1 1 1Table 2. Cell designations and cell reactions. Cell Cell Designation (follow conventional notation)C
Table 1, Electrochemical Series Dala Galvanic Cell Eccl (V) Eleetrode Elcctrode Material Connection Elcctrode WA cuII"'OA Function Electrochemical (anede U catnodlei Half-Reaction Znlzn"* and (lcys Com Cu" ICu anace ZnCs) 57c"+ Zn" {3 Cu VNC CatLa â‚¬ Iolz LCu Gsk ...
##### Sec 16.5 Rotacion y Divergencia= Problem 3PreviousProblem ListNextpoint) Let (4a'â‚¬ + 4ay?)i (423 2ay)j (22 + 4.2 + 4y2)k.(a) Find the value(s) of a making div F _ 0(Enter your value, or if you have more than one, enter a comma-separated list of your values:(b) Find the value(s) of a making div F a minimum(Enter your value, or if you have more than one, enter a comma-separated list of your values )
Sec 16.5 Rotacion y Divergencia= Problem 3 Previous Problem List Next point) Let (4a'â‚¬ + 4ay?)i (423 2ay)j (22 + 4.2 + 4y2)k. (a) Find the value(s) of a making div F _ 0 (Enter your value, or if you have more than one, enter a comma-separated list of your values: (b) Find the value(s) of ...
##### Give examples of sequences one in each case, having the following properties (you don need to prove anything here): marks] (an) is convergent; but not monotone; marks] (an) and (a5 are both unbounded; marks] (4u) is not convergent, but it has convergent subsequences, (bu) , (cn) land K(du) such that: bn 0 and d, [1 marks] (an) is not convergent, but (2a% Sau) is convergent_
Give examples of sequences one in each case, having the following properties (you don need to prove anything here): marks] (an) is convergent; but not monotone; marks] (an) and (a5 are both unbounded; marks] (4u) is not convergent, but it has convergent subsequences, (bu) , (cn) land K(du) such tha...
##### Table of Probabilities for Problems 6.1b through 6.1dUse the Lower Case Letters of a-| to Select the Correct Probability Notation for the Down-Down Menus of Problems 6.1b) 6.1d) Below:P(yi Drop-down Selections a-d: a.) P(Y b) PlY > 3) Piy d.) P(yP(Y) Drop-down Selections e-h: e:) P(Y 0Piy < 4) 9 ) P(Y > 4) h) P(Y = 4)P(Y) Drop-down Selections i-I: V)P(y < 4 j) P(Y > 4) k) P(Y =4nP(Y P(Y = 4)UP(Y = 01The Pacific banana slug 6.1b) Find the probability Ihal three slugs are spoiled a
Table of Probabilities for Problems 6.1b through 6.1d Use the Lower Case Letters of a-| to Select the Correct Probability Notation for the Down-Down Menus of Problems 6.1b) 6.1d) Below: P(yi Drop-down Selections a-d: a.) P(Y b) PlY > 3) Piy d.) P(y P(Y) Drop-down Selections e-h: e:) P(Y 0Piy <...
##### Uce Uke Ereph of he funclion (() to oatc Ihc Ioeal cxlncma Ind idenlily Ihc intervals whor" Ihoconcsy" "p snd cmLocal minimum at x = 0;local maximum at x = 2; concave up On (0, ~); concave dow on (~, Loca] minimum at x = 0;local maximum atx = 2; concave down On (0, w}; cortcave Up on (~~, Local minimum atx = 2;local maximum al x = 0; concave up on (0, ~); corcave down on (~~ Loca] minimum al x = 2; local maximum at x = 0; concave down on (0, ~); concave upon (~~,
Uce Uke Ereph of he funclion (() to oatc Ihc Ioeal cxlncma Ind idenlily Ihc intervals whor" Iho concsy" "p snd cm Local minimum at x = 0;local maximum at x = 2; concave up On (0, ~); concave dow on (~, Loca] minimum at x = 0;local maximum atx = 2; concave down On (0, w}; cortcave Up o...
##### The molar solubility of CuSCNis 4.21 1.77 * 10-13 2.98 10-19 6.9 < 10-4 842 * 10" 3,4 * 10-13Man PUrc - Water, Calculate the Ksp = for CuSC):
The molar solubility of CuSCNis 4.21 1.77 * 10-13 2.98 10-19 6.9 < 10-4 842 * 10" 3,4 * 10-13 Man PUrc - Water, Calculate the Ksp = for CuSC):...
##### Use equation (2.6) to help solve the IVP. $$y^{\prime}=2 y(5-y), y(0)=4$$
Use equation (2.6) to help solve the IVP. $$y^{\prime}=2 y(5-y), y(0)=4$$...
##### Determine whether the given statement is true false;Iis given that the row reduced echelon form ofthe matrix Athe matrix R=1 3 0 0(e system of linear equations 3+0+52+w=6 an 2+W=2 20*8+2+4w=13 082-2w= Kpes Iniinitely many solutions:Aaeaone: Tne False
Determine whether the given statement is true false; Iis given that the row reduced echelon form ofthe matrix A the matrix R= 1 3 0 0 (e system of linear equations 3+0+52+w=6 an 2+W=2 20*8+2+4w=13 082-2w= Kpes Iniinitely many solutions: Aaeaone: Tne False...
##### Arock & dropped from Ihe top of 4 256-foot cliff The height leet of Ihe rack polynomial 256 - 16r' Faclot this expression above Ihe water after [ seconds modeled by the comptetely256 - A16 -[
Arock & dropped from Ihe top of 4 256-foot cliff The height leet of Ihe rack polynomial 256 - 16r' Faclot this expression above Ihe water after [ seconds modeled by the comptetely 256 - A16 -[...
##### You may need to use the appropriate appendixtable or technology to answer this question.A research center has conducted extensive research on socialmedia usage. One finding was that 74% of adults aged 18 to 24use Snapchat. Another finding was that 41% of those aged 18 to24 use Twitter. Assume the sample size associated with bothfindings is 400.(a)Develop a 95% confidence interval for the proportion of adultsaged 18 to 24 who use Snapchat. (Round your answers to four decimalplaces.) to (b)Develop
You may need to use the appropriate appendix table or technology to answer this question. A research center has conducted extensive research on social media usage. One finding was that 74% of adults aged 18 to 24 use Snapchat. Another finding was that 41% of those aged 18 to 24 use Twitter. Assume t...
##### In Exercises $49-52,$ find an equation for and sketch the graph of the level curve of the function $f(x, y)$ that passes the given point. $$f(x, y)=\sqrt{x^{2}-1}, \quad(1,0)$$
In Exercises $49-52,$ find an equation for and sketch the graph of the level curve of the function $f(x, y)$ that passes the given point. $$f(x, y)=\sqrt{x^{2}-1}, \quad(1,0)$$...
##### Question 33 ptsOne end of a polypeptide chain is shown below:HzNOHIs this the N-terminus or the C-terminus of the polypeptide? Select |What is the next backbone atom in the chain (i.e what kind of atom would be revealed if the squiggly line were moved over by one position)? (Select ]
Question 3 3 pts One end of a polypeptide chain is shown below: HzN OH Is this the N-terminus or the C-terminus of the polypeptide? Select | What is the next backbone atom in the chain (i.e what kind of atom would be revealed if the squiggly line were moved over by one position)? (Select ]...
##### How can Explain and verify this question with the given data that 4-acetyltoluene has been synthesized? Do the FTIR and NMR spectra you measured and recorded in the tables above confirm that you synthesized the assigned target compound? Explain: FTIR List position (cm-!) & functional group 4. 2900 (cm " ")-- C-H stretch300cm_ C-H aromalic stretch 2 1720 (cm" CO stretch 31642 (cm ] Cstetch TWHNMR Spectrum data Peak Chemical IHNMR Multiplicity Shift (6)Peak (nemaauMultiplicity&
How can Explain and verify this question with the given data that 4-acetyltoluene has been synthesized? Do the FTIR and NMR spectra you measured and recorded in the tables above confirm that you synthesized the assigned target compound? Explain: FTIR List position (cm-!) & functional group 4. 29...
##### Independent random sampling from two normally distributed populations gives the results below Find 9g% confidence interval estimate of the differerce between means of the two populations_117n2 -X2 = 10802The confidence interva (01 - H2) (Round t0 four decimal places as neeced
Independent random sampling from two normally distributed populations gives the results below Find 9g% confidence interval estimate of the differerce between means of the two populations_ 117 n2 - X2 = 108 02 The confidence interva (01 - H2) (Round t0 four decimal places as neeced...
##### Izou Eeeinn2 pointsThe DeWitt Company has found that the rale of change of its average cost of producing 7160 a product is â‚¬ Iwhere x is the number of units and cost is in dollars. The average cost of producing 20 units is S33.00 Find the average cost of producing 160 units of the product Round t0 the nearest dollar.0 S98 S91 0 S93 S96S103
izou Eeeinn 2 points The DeWitt Company has found that the rale of change of its average cost of producing 7160 a product is â‚¬ Iwhere x is the number of units and cost is in dollars. The average cost of producing 20 units is S33.00 Find the average cost of producing 160 units of the product R...
##### {cutia uscTu P astics.Ihelmst S COcro deancIndustria preparation There Gte [0 Sucd= acerylene and cm hydrozide: Latet rejcl (Dacnlic 2CICImmedute precursorCC,(s)+2 H;Ol9) -C,H,(9)+Ca(OH),(s) acety Cne carbon dioxide and Water read Fcont SEo{ngm acrc Jd:6C,H,(9)+3CO_(9)+4 HzOl9)-SCH,CHCO_H(9) chemica Fqubucn the Drodunctlor aoTIc jCio Wrile theBe sure Your cquation balanced and carbon dioxidcTalclum camdioc;0-C
{cutia uscTu P astics. Ihelmst S CO cro deanc Industria preparation There Gte [0 Sucd= acerylene and cm hydrozide: Latet rejcl (D acnlic 2CIC Immedute precursor CC,(s)+2 H;Ol9) -C,H,(9)+Ca(OH),(s) acety Cne carbon dioxide and Water read Fcont SEo {ngm acrc Jd: 6C,H,(9)+3CO_(9)+4 HzOl9)-SCH,CHCO_H(9)...

-- 0.020725--