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Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section $14.7.$Exercise 53...

Question

Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section $14.7.$Exercise 53

Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section $14.7.$ Exercise 53



Answers

Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 14.7.

Exercise 41

The problem is useful. A grand more players to give on alternate solution to indicated exercise in section fourteen point seven. That's a size forty two. First Astro Cats. The Problem Off Society's forty two. This's find a point on the plane X minus two y plus Rizzi is they go to six. That is closest to the point General won. What? So if we you know he has a distance from the point of zero one. Want any point as a plane X minus two y plus really equal to six we have The square is equal to X squared us. Why minus one spoiled the minus y squared with notes dysfunction as wide sea and they were right to cheat his equal to X minus two. Why us raising then? With my third of love you want my players have ridden off. See what Lambda have screwed into G Gee is equal to six, which become two acts is recalled to London. Two. Hands fly minus one. It's the connective to lambda two times C minus one. It's like what three longer X minus two us. Breezy. It's a four to six, so we have actually got Lambda over two. Why is there a connective Landa? But one C is acquitted. Three London over to us one planning to use the recreation X minus two of us. Crazy is equal to six we have Lambda is because your father over Fallon. So Axe is he hooked you half over for him? Why is he going to to over seven? Is he going to nine over fourteen? So the point of which is closest to the point of zero on one onto playing X minus two. Plus there is easy. Go to six is the point class over fourteen to over seven on the twenty nine over fourteen.

The problem is use luck. Ranch More players to give an alternate solution to indicated the exercise in section fourteen point seven Exercise forty three First a slow cats The problem under the points on the corn C squared is equal to X square plus y square. I have closest to the point or two zero for any point under corn X y z. The distance between this pointed to the point between the this pond and appointed four to zero. If not, the distance is the quantity. Then the squire is equal to X minus four square US. Why minus two. Squire Fast. He's going. We're writing genius. They caught you. It's a square minus X squared plus y squared. And with you no dysfunction as half at my third off luck runs. More players have brilliant off us. It's the call to London have screwed into ft on genius equals zero. It's become truth house X minus four. If he could love that, I'm snacked it to ACS two towns. Why minus two? If they could Landa, I'm snaked it too wide to think if they got a love that has to think and the square minus five squared minus y squared in secret. With zero from this equation over half long dot is a short one four. See you Single Tau zero. If he is, we got zero from the last equation. Half Excellency. What? Why secret with zero If lambda is it with one from first to equations we have axe is the culture too. Why is he going to what then? From the last equation. The square to see ho too file. So she is too, so minus five. Why do you laugh at this point zero zero zero? If they go to Andi enough to want plus minus till far, it's a call to ten. Compliance is your wife. Half the points to one. You're too fast on disappoint the point two one negative little five are the points. That's our clothes ist she is a corn square. Is there going to X square Tuesday? So this two points are the points on the Corn Square issue. Go to x square plus y square that are closest to the point or two zero

The problem is used like grandma players to give an alternate solution has indicated the access section fourteen point seven exercise for before. First as kind of the problem idea's points on the surface. Why square is about nine plus taxi that are closest to the region. If you're still getting now to the distance between any point experts e on the surface and it's a point zero zero zero. Then the disease could disquiet Goto X square plus y square US square Here with, you know, this is ocean actualizing. You realize she Axl I see if they want y squared minus c So my half But my theory of luck around more players brilliant of af secret long dark times really into Gee gee, it's forty nine which become to ACS if they could negative long at sea. Why would love comes to why you should see is people to run that snake Your axe Why square minus X See you at nine. From the second equation, we have Amanda with one or why is he going to zero if lambda and stick with one? So first the question we have to axe is equal to negative. See thoroughly question We have to see. It's able to negative axe. Sound this three questions off, actually. Why don't you see what I see? You single to zero from the last in Question nine we have. Why squared is he was mine. So why its secret pass on minus three? If Why is it go to zero from the last equation we have ACS? See, Is this connected? Nine. And the question one over you. Question three. We have acts over Thie in secret would see over axe. So X squared equals C squared from X c is they're going to make tonight on X squared is equal to the square we have Axe is a three. She is a connective. Three war axe is a go to connective brain Is they go to three, please. Half zero plus or minus three Ciro pc with nine and a half Negative. Three zero three is equal to Oh, three zero negative three. Is this about eighteen? So we have waiting to find the point on the surface that are closest to a region since the point zero there is zero on disappoint. They're O negative three zero as the points on the service that are closest to the reader

The problem is used like landmark players to give an alternate solution to the indicated exercise in section or ten point seven Exercise fourteen off Problem is find this This three positive numbers was some is my hundred, and who's productive is maximum. If we write half, it's going to x times wide. Have steam, x y t. Our past has two numbers and Gina is equal to x us. Why the then we need to find maximum while you off after subject to the constraint. Gee, is they go to, ah, hundreds So by my thirty of background players have great in tough is it for too long. Down comes greed in tow on day three instead of two. A hundred which becomes Why see is the torch to lambda Is they go to I see you seek what you x y andan x plus y plus thie. It's for two hundred. From here we have Axe is a photo. Why? And see what you see. It's equal. Chu Axel. I see over longer Embezzle creation X plus y plus C is equal to one hundred half acts. Goto. Why his secret? You see, it's a hot school, a hundred over three. So you think maximum wine you off after you exist. It can only occur at this point one hundred over three hundred or three hundred or four with three. It's the way how three numbers a hundred with three, one hundred or three hundred over three would Some is equal to one hundred on whose productive this maximum.


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