5

Find the local maximum and minimum values and saddle point(s) ofthe function. (Enter your answers as a comma-separated list. If ananswer does not exist, enter DNE.)...

Question

Find the local maximum and minimum values and saddle point(s) ofthe function. (Enter your answers as a comma-separated list. If ananswer does not exist, enter DNE.)f(x, y) = (4 + xy)(x + y)local maximum value(s) local minimum value(s) saddle point(s) (x, y, f) =

Find the local maximum and minimum values and saddle point(s) of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = (4 + xy)(x + y) local maximum value(s) local minimum value(s) saddle point(s) (x, y, f) =



Answers

Find the relative maximum and minimum values and the saddle points. $$f(x, y)=x y+\frac{2}{x}+\frac{4}{y}$$

In this question with even the function. I am X y ego Thio Expel four plus y four plus four x y In the first step, we need to find the first specially river to which particular X that we have a four Expo three plus four y It was citizen eco 20 Then we have why we'll go to minus X power three. Now similarly, the f y would you go to the for Why about three plus four X We send it coaches zero and then it means that X with Iko Jr minus choir about three and now using the second the first formed of wine Yeah, we put into describe Then we should get X where you called u minus. Now we have minus X poetry and empower three So we should get equal Thio the expel on nine So therefore we should get now X minus expel on Naik 020 and then x we're fucked around the one month expo I need you go to zero. Therefore, we shouldn't get three solutions X equal to zero and then x equal to one and then it would have one inside We will have uh, one will be No, the solution here because it will put that test. Then we will have one. Yeah, so that's the solution here. So examples U minus one on and mhm. If the executed zone, then why were equal to zero if the X 31 Why equal to the minus one if exhibit ew minus one. Why were equal to one? Now we can verify that with zero, then one minus one while could you manage one? Exactly. Minus one on excellent U minus one language one. So that's gonna be correct. So have totally three critical points here. One, two and a three. Now, the second step, we need to find a second brush on the river, too. Then we get Geico June 12 X square, F y. Why they go to the trail y square and then f x y we go too far on now we'll come back to the table to test the site off the critical points here. So one to on the tree you have the f x x times f y y when a f x y square and he will have the pond zozo one minus one, then minus 11 Now we see that I had upon zero We will have the zero time zero minus four square, so it will be smaller than zero. So here we also need your computer F x x here. So and then this point. Give us the set upon here. And and the one minus one, we will have the trout times. The trail and R minus four squared re positive and f x x here could trail. Therefore we have this one will be greater, Denzel. So we have this one will be the local venom. Um, and now in the minus 11 we will have the 12 times trail. A swell minus four square is greater than zero on F x X, in which 12 greater than zero. Therefore, we also have a local minimum.

In this question was given a function. I am. Thanks. Quiet. Decode you for X qy minus expelled for minus wipe our farm And the first time we need to find the F X. Then we get go during the for wine. Oneness for export three, we said, is an equal to zero. Do we get a Y e? Go to the thanks. Power tree something. And we do the partial derivative, especially the y by Semitic When Shingen Uh, thanks. I'm Dan minus saw. Why about three there was sent on equal to zero. Their function. Get now ex will equal agenda. Why about three? And then it was booed This Y Yeah. Into the second equation. There was thinking the X We go to the expel a tree and in power tree. Then we shouldn't get include to the expound nine. So actually job about nine means that we should get the X minus expert on night. Go to zero. So x we fucked around. The one minus expel. Ain't you go to zero. So we have now ex very coaches. Uh, ex coach Blessing minus one Onda. We put the one minus one. Yeah, and they would put for the X, which is zero whyy coaching export to go big white coaches zero When we have let me right down to the three distinct cases here, girl on, then have while we go to one a swell There's a minus one. Then why we put u minus one and now we have totally three critical points Here we'll be 00 way Have 11 then we have minus one minus one. Now, the second thing which you do will be the second bash on the river too. Respect to the X And then we get equal to the minus 12 X square. Similarly, the F y why they were getting equal to the minus 12 y square and f x y we get ego to the fall. Now we can make a table to test that It's critical point now. One, two and three. Yeah, we have. This will be the f x x times f y y minus f X y square. Now this one will be the f Thanks. Thanks on. Now we have the critical 0.0 were 11 way have minus one minus one and the and zero which again does zero time zero, then minus four square. So it doesn't smaller than zero. Therefore we have this one will be the center point. Yeah, And now for the 2nd 0.11 we will have the minus three times minus thrill minus four square citizen be greater than zero and f x x. Here you go to the Manus thrill smaller than zero. Therefore, this point here we will have will be the loco Maximum. Now, for the third point we have, this one will be minus trail times The money trail on DTI 10 months for square. It could be greater than zero on before we will have this one f x X pill. Go to Minister A smaller than zero the phone and we're gonna have dot hoco maximum.

In this question were given the function I have X y ico to one off x plus x y because one of the why and the first time we need to find the first specially with u F X, They were getting into one of the X Square. Yeah, that's why he coaches zero. So from here, it means that why ICO to one other X square and similarly, the f why we go to, uh, minus one, otherwise square and with the nicotine. So therefore we have the X. We go to one otherwise square. So we're going to use this choir here, put into this guy, then we should get thanks we go to Nah thanks. Our fallen now and then we have doesn't even only if the X minus expel for e coaches zero So conflict the X outside on. Then we have one minus Expo three e coach is zero. Therefore, we have XY coaches zero Mexico to one when x which is also why we go to under fight. So we'll be, uh, it will be notified in this case here and then we're not considered this one, so no value. Yeah, and I went actually 21 while you were equal with you one. And therefore, we have only one value off the critical point here. So we have only one. And the second step, we need to find a second brush on the river to f X x. Then we get Nico June, uh, to off Explore three now and then F y why we go thio over. Why about three on f x y we go to one Therefore add the on 11 Do we ghenda have x x times f y y on the f x y square they will record you now we will have the f x x would other 11 So I'm going to times that we have times two minus no one square So it doesn't include to the three credit and zero and f x X equal to two is created and Sarah Therefore we can conclude that we will have the loco minimum and ex uncle had upon 11 Yeah, yeah,

The problem is finding the local makes maximum on minimal wells on the center point of the function. If you have three dimensional, graphing, fluffier rough, the function with the Dominion will point that reveal out important aspects of the function. So first they would compute partial after flax. This is the culture to Max plus two R. I should have a party. Why is he called you four times last cue plus two ax at the possible. Some. Are you called to zero? So from Christian wanted behalf actually connect your why flying to the equation to a half onlys cube. While this to live, it's equal zero. So like to see what you're Cyril, or why it is a good person minus one over square root of two. So we'LL have three critical points. Zero zero one over square root of two negative one over square root of two one negative one over square root of to one hundred square it, too. I'm a computed thanking a partial derivatives, a fact sex is equal to two x, y and z. What, too, After, why? Why, you see go to twelve times last square. That is a point of zero zero we have. Why Why is he going to serial B? It's like a connective war. It's the last thing. Zero zero zero is a side of point that is point one over a sky. Courage of too negative, one of discarded, too. And it's a point next one hour, discarded, too. One always square into two. Why, why it's equal to six. Thirteen. Is the country twelve minus forces? This is it, Richard. And zero. A fax sex is going to choose off greater than zero this two points. Local minimal. Now look at this graph for dysfunction from the graft. Off this function, we can see that was the point one that worry square root of two negative one that was square root of two and negative. Well, now with the square root of two, when I was scared, too. The function has the local minimum value, but that is a point of zero zero and his nether local maximum, nor look minimum


Similar Solved Questions

5 answers
Determine the wavelength of the line in the hydrogen atom spectrum corresponding to the n1 2 to n2 6 transition:410 nm1275 nm1034 nm595 nm225 nm
Determine the wavelength of the line in the hydrogen atom spectrum corresponding to the n1 2 to n2 6 transition: 410 nm 1275 nm 1034 nm 595 nm 225 nm...
5 answers
7. Kp 4.6 for the hypothetical reaction:A + 2 B3 €Which of the following initial pressures represent system that will shift from right to left (toward reactants) t0 allain equilibrium?[A] = alm [B] [A] = 3 atm [B] [A] = aln [B] [A] = 3 atm [B] [A] = 2 atm [B]alm [C] alm alm [C] 2 alm 2 alm [C] = 2 alm alm [C] 3 atm 3 atm [C] alm
7. Kp 4.6 for the hypothetical reaction: A + 2 B 3 € Which of the following initial pressures represent system that will shift from right to left (toward reactants) t0 allain equilibrium? [A] = alm [B] [A] = 3 atm [B] [A] = aln [B] [A] = 3 atm [B] [A] = 2 atm [B] alm [C] alm alm [C] 2 alm 2 al...
5 answers
The velocity as function time forasteroidthe asterold belt given Dy"ie-IojKnereand Are constants-Use as Ure Inltial cne- =1,86 tne finab Ene Hint: Dolng MOum Vork algebralcally first (as You Wdys shoulda crunching Vour raicuiatori The values lor lne constants Lhal YOU will UsC are:fird thal bbelng given te final timte Lhls way wlll cut downnumbem3,5 Ms 882
The velocity as function time for asteroid the asterold belt given Dy "ie-Ioj Knere and Are constants- Use as Ure Inltial cne- =1,86 tne finab Ene Hint: Dolng MOum Vork algebralcally first (as You Wdys shoulda crunching Vour raicuiatori The values lor lne constants Lhal YOU will UsC are: fird t...
5 answers
(15 points) If-1 ~4 13A =~1thenA-1 =Given b = _5 solve Ax6.
(15 points) If -1 ~4 13 A = ~1 then A-1 = Given b = _5 solve Ax 6....
3 answers
With initial conditions u(T; =0) sin(TT ) and boundary conditions u(r fl,t) = 0For the heat equation, u(z,t) = T(z.t)-Tamb: For the ID diffusion equation u(z.t) number of diffusing particles/meter: (For the 3D diffusion equation, u(z.y,2,t) number of diffusing particles/meter?
with initial conditions u(T; =0) sin(TT ) and boundary conditions u(r fl,t) = 0 For the heat equation, u(z,t) = T(z.t)-Tamb: For the ID diffusion equation u(z.t) number of diffusing particles/meter: (For the 3D diffusion equation, u(z.y,2,t) number of diffusing particles/meter?...
5 answers
Problem kcallg 150 pounds) and that human tissue has If we assume that an average human weighs 68,000 grams (about needed produce human who eats only chicken? how much landland needed to produce human who eats only crickets? How much
Problem kcallg 150 pounds) and that human tissue has If we assume that an average human weighs 68,000 grams (about needed produce human who eats only chicken? how much land land needed to produce human who eats only crickets? How much...
1 answers
A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.0 $\mathrm{m} / \mathrm{s}$ . The student throws a ball into the air along a path that he judges to make an initial angle of $60.0^{\circ}$ with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does she see the ball rise?
A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.0 $\mathrm{m} / \mathrm{s}$ . The student throws a ball into the air along a path that he judges to make an initial angle of $60.0^{\circ}$ with the horizontal and to be in line ...
5 answers
Part 1 Visible light of 550.0 nm falls on a single slit andproduces its first diffraction minimum at an angle of 23.0°relative to the incident direction of the light.(a) What is the width of the slit? Include units.(b) At what angle is the 2nd minimum produced?
Part 1 Visible light of 550.0 nm falls on a single slit and produces its first diffraction minimum at an angle of 23.0° relative to the incident direction of the light. (a) What is the width of the slit? Include units. (b) At what angle is the 2nd minimum produced?...
1 answers
In $3-14,$ determine whether each of the numbers is rational or irrational. $$ 0+\pi $$
In $3-14,$ determine whether each of the numbers is rational or irrational. $$ 0+\pi $$...
5 answers
Hasuy uWqna(00-(8s-)(T"T-) ?(6 &-1Mquo 40iumt'^juo Cdu]Kuux Ku JiJIEu J' "41 (t-) M#nDIuI 941SIIv130
Hasuy uWqna (00- (8s-) (T"T-) ? (6 &-1 Mquo 40iumt' ^juo Cdu] Kuux Ku JiJI Eu J' "41 (t-) M#nDIuI 941 SIIv130...
5 answers
2NH4Cl(aq) + Na2C2O4(aq)→2NH3(g)+H2C2O4(aq) + 2NaCl(aq)0.750 L of 0.254 M NH4Cl is combined with 0.750L of0.175M Na2C2O4 accordingto the reaction above.A) CALCULATE the moles of NH4Cl addedB)CALCULATE the moles ofNa2C2O4 added to thereactionC)DETERMINE the limiting reagent for the reactionD) What mass of ammonia (NH3, MW = 17.03 g/mol) willbe produced in the reaction?
2 NH4Cl(aq) + Na2C2O4(aq)→2NH3(g)+ H2C2O4(aq) + 2NaCl(aq) 0.750 L of 0.254 M NH4Cl is combined with 0.750 L of 0.175M Na2C2O4 according to the reaction above. A) CALCULATE the moles of NH4Cl added B)CALCULATE the moles of Na2C2O4 added to the reaction C)DETERMINE the limiting reagent for the ...
5 answers
Moving (0 another question Iill GaVc Ihia (peponeoQuestionWhich of the following is < differential operator that annihilates the function y= Sr4+Sr2+6r+Scos(4r)+4ex/2_ D' (2D-1)(02+8 None of these DS(D-1)(0*+4) DS(2D+1)(02_ 16) DS(2D-1)(02+16)Moving t0 another question will save this response.
Moving (0 another question Iill GaVc Ihia (peponeo Question Which of the following is < differential operator that annihilates the function y= Sr4+Sr2+6r+Scos(4r)+4ex/2_ D' (2D-1)(02+8 None of these DS(D-1)(0*+4) DS(2D+1)(02_ 16) DS(2D-1)(02+16) Moving t0 another question will save this resp...
5 answers
803778mi 7, 3adDae, 5:dtemestReusanshan
803778mi 7, 3adDae, 5: dtemest Reusan shan...
5 answers
Consider the following equation7x + 2y = 165tep 20f2Find the e equation of the llne which passes through the point (2. IO) and i5 parallel to the Express your answer in slope-intercept form. Simplify your answer given line.
Consider the following equation 7x + 2y = 16 5tep 20f2Find the e equation of the llne which passes through the point (2. IO) and i5 parallel to the Express your answer in slope-intercept form. Simplify your answer given line....
5 answers
(a) %" +y' + 37 4y = 0; 9(0) = 3, y(0) = 8 (b) 2y" 5y' _ 3y = 0 y(0) = 2, y(0) = 0. (c) y(3) Ey = 0. y(0) = 2, %(0) = 5, y"(0) = 1. (d) %+31 + 21 e-t where i is the derivative of z(t) with respect to
(a) %" +y' + 37 4y = 0; 9(0) = 3, y(0) = 8 (b) 2y" 5y' _ 3y = 0 y(0) = 2, y(0) = 0. (c) y(3) Ey = 0. y(0) = 2, %(0) = 5, y"(0) = 1. (d) %+31 + 21 e-t where i is the derivative of z(t) with respect to...

-- 0.017878--