Kappa Sigma - ΚΣ Fraternity Ratings at UCM

Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 55 3.50
  • Total Ratings: 55
  • Overall Average:70%

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Ratings

  • Reputation:Smart
  • Friendliness:68.4%
  • Popularity:71%
  • Classiness:59.2%
  • Involvement:75.2%
  • Social Life:73.8%
  • Brotherhood:71.4%
  • 55 Ratings
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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 5.0 For the � x terms: � 2 − 2 � x 2 −2x We add and subtract ( 2 2 ) 2 = 1 ( 2 2 ​ ) 2 =1 to complete the square. This gives us � 2 − 2 � + 1 ∠’ 1 = ( � − 1 ) 2 â ˆ’ 1 x 2 −2x+1−1=(x−1) 2 −1. For the � y terms: � 2 − 6 � y 2 −6y We add and subtract ( 6 2 ) 2 = 9 ( 2 6 ​ ) 2 =9 to complete the square. This gives us � 2 − 6 � + 9 ∠’ 9 = ( � − 3 ) 2 â ˆ’ 9 y 2 −6y+9−9=(y−3) 2 −9. Rewriting the Function Substituting these into the original function, we get: � ( � , � ) = ( � − 1 ) 2 − 1 + ( � − 3 ) 2 − 9 f(x,y)=(x−1) 2 −1+(y−3) 2 −9 This can be further simplified to: � ( � , � ) = ( � − 1 ) 2 + ( ï ¿½ − 3 ) 2 − 10 f(x ,y)=(x−1) 2 +(y−3) 2 −10 Analyzing the Function The squared terms ( � − 1 ) 2 (x−1 ) 2 and ( � − 3 ) 2 (y−3 ) 2 are always non-negative since any real number squared is non-negative. The smallest value these squares can take is 0, which occurs when � = 1 x=1 and � = 3 y=3. Thus, the smallest value of � ( � , � ) f(x, y) is − 10 −10, achieved at the point ( 1 , 3 ) (1,3). There is no upper bound for � ( � , � ) f(x, y) since the squared terms can grow indefinitely as � x and � y move away from 1 and 3, respectively. Conclusio n The smallest value of � ( � , � ) f(x, y) is − 10 −10, occurring at ( 1 , 3 ) (1,3). The function � ( � , � ) f(x, y) has no largest value; it grows indefinitely as � x and � y move away from 1 and 3, respectively. User can you just show the math no need for an explnation such as if it was for hw ChatGPT Certainly! Here's the concise mathematical work for the problem: Problem: Find the largest and smallest values of � ( � , � ) = ï¿ ½ 2 − 2 � + � 2 â ˆ’ 6 � f(x,y)=x 2 −2x+y 2 −6y. Solution: Comp lete the square for � x: � 2 − 2 ï¿ ½ = ( � − 1 ) 2 − 1 x 2 −2x=(x−1) 2 −1 Complete the square for � y: � 2 − 6 ï¿ ½ = ( � − 3 ) 2 − 9 y 2 −6y=(y−3) 2 −9 Rewrite � ( � , � ) f(x, y): � ( � , � ) = ( � − 1 ) 2 − 1 + ( � − 3 ) 2 − 9 f(x,y)=(x−1) 2 −1+(y−3) 2 −9 Simplify: � ( � , � ) = ( � − 1 ) 2 + ( � â ˆ’ 3 ) 2 − 10 f(x,y)= (x−1) 2 +(y−3) 2 −10 Analyze the function: Minimum: � ( � , � ) f(x, y) is minimized when ( � − 1 ) 2 = 0 (x −1) 2 =0 and ( � − 3 ) 2 = 0 (y −3) 2 =0, i.e., at ( � , � ) = ( 1 , 3 ) (x,y)=(1,3). Minimu m value: � ( 1 , 3 ) = 0 + 0 − 10 = − 10 f(1,3)= 0+0−10=−10. No maximum value since ( � − 1 ) 2 (x−1 ) 2 and ( � − 3 ) 2 (y−3 ) 2 can grow indefinitely. Results: Smallest value of � ( � , � ) f(x, y) is − 10 −10, at ( 1 , 3 ) (1,3). No largest value for � ( � , � ) f(x, y).\n\n\n\n\n
5.0
TOP TIER
By: ASIPPosted:

For the � x terms: � 2 − 2 � x 2 −2x We add and subtract ( 2 2 ) 2 = 1 ( 2 2 ​ ) 2 =1 to complete the square. This gives us � 2 − 2 � + 1 ∠’ 1 = ( � − 1 ) 2 â ˆ’ 1 x 2 −2x+1−1=(x−1) 2 −1. For the � y terms: � 2 − 6 � y 2 −6y We add and subtract ( 6 2 ) 2 = 9 ( 2 6 ​ ) 2 =9 to complete the square. This gives us � 2 − 6 � + 9 ∠’ 9 = ( � − 3 ) 2 â ˆ’ 9 y 2 −6y+9−9=(y−3) 2 −9. Rewriting the Function Substituting these into the original function, we get: � ( � , � ) = ( � − 1 ) 2 − 1 + ( � − 3 ) 2 − 9 f(x,y)=(x−1) 2 −1+(y−3) 2 −9 This can be further simplified to: � ( � , � ) = ( � − 1 ) 2 + ( ï ¿½ − 3 ) 2 − 10 f(x ,y)=(x−1) 2 +(y−3) 2 −10 Analyzing the Function The squared terms ( � − 1 ) 2 (x−1 ) 2 and ( � − 3 ) 2 (y−3 ) 2 are always non-negative since any real number squared is non-negative. The smallest value these squares can take is 0, which occurs when � = 1 x=1 and � = 3 y=3. Thus, the smallest value of � ( � , � ) f(x, y) is − 10 −10, achieved at the point ( 1 , 3 ) (1,3). There is no upper bound for � ( � , � ) f(x, y) since the squared terms can grow indefinitely as � x and � y move away from 1 and 3, respectively. Conclusio n The smallest value of � ( � , � ) f(x, y) is − 10 −10, occurring at ( 1 , 3 ) (1,3). The function � ( � , � ) f(x, y) has no largest value; it grows indefinitely as � x and � y move away from 1 and 3, respectively. User can you just show the math no need for an explnation such as if it was for hw ChatGPT Certainly! Here's the concise mathematical work for the problem: Problem: Find the largest and smallest values of � ( � , � ) = ï¿ ½ 2 − 2 � + � 2 â ˆ’ 6 � f(x,y)=x 2 −2x+y 2 −6y. Solution: Comp lete the square for � x: � 2 − 2 ï¿ ½ = ( � − 1 ) 2 − 1 x 2 −2x=(x−1) 2 −1 Complete the square for � y: � 2 − 6 ï¿ ½ = ( � − 3 ) 2 − 9 y 2 −6y=(y−3) 2 −9 Rewrite � ( � , � ) f(x, y): � ( � , � ) = ( � − 1 ) 2 − 1 + ( � − 3 ) 2 − 9 f(x,y)=(x−1) 2 −1+(y−3) 2 −9 Simplify: � ( � , � ) = ( � − 1 ) 2 + ( � â ˆ’ 3 ) 2 − 10 f(x,y)= (x−1) 2 +(y−3) 2 −10 Analyze the function: Minimum: � ( � , � ) f(x, y) is minimized when ( � − 1 ) 2 = 0 (x −1) 2 =0 and ( � − 3 ) 2 = 0 (y −3) 2 =0, i.e., at ( � , � ) = ( 1 , 3 ) (x,y)=(1,3). Minimu m value: � ( 1 , 3 ) = 0 + 0 − 10 = − 10 f(1,3)= 0+0−10=−10. No maximum value since ( � − 1 ) 2 (x−1 ) 2 and ( � − 3 ) 2 (y−3 ) 2 can grow indefinitely. Results: Smallest value of � ( � , � ) f(x, y) is − 10 −10, at ( 1 , 3 ) (1,3). No largest value for � ( � , � ) f(x, y).\n\n\n\n\n

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Sigma Chi Fraternity
Delta Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 4.4 The only frat that actually has a chapter house. Parties are coo and their brothers are inclusive. Overall decent ppl
4.4
TOP TIER
By: BobcatPosted:

The only frat that actually has a chapter house. Parties are coo and their brothers are inclusive. Overall decent ppl

Associates with:
Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 1.0 Bottom tier fraternity. Give bids to anyone/everyone. All other fraternities do not associate with them because they are mostly all rats and untrustworthy. You should really consider choosing the other fraternities rather than this one. They used to be top house and had some cool dudes, but that has now all changed. The only thing they have now are their looks.
1.0
BOTTOM TIER
By: Greek_RankPosted:

Bottom tier fraternity. Give bids to anyone/everyone. All other fraternities do not associate with them because they are mostly all rats and untrustworthy. You should really consider choosing the other fraternities rather than this one. They used to be top house and had some cool dudes, but that has now all changed. The only thing they have now are their looks.

Associates with:
Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 5.0 This chapter of Kappa Sigma is beyond amazing. Every member takes their time to be sincere, helpful, and kind. Each one holds their values to heart and this is commendable.
5.0
TOP TIER
By: KKGPosted:

This chapter of Kappa Sigma is beyond amazing. Every member takes their time to be sincere, helpful, and kind. Each one holds their values to heart and this is commendable.

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Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 1.9 Honestly trash. Very secluded from many. The culture here is fake, brothers cause really bad issues for their chapter. Not really the best frat on campus, but not the worst! They could do a lot better!
1.9
BOTTOM TIER
By: Bren Posted:

Honestly trash. Very secluded from many. The culture here is fake, brothers cause really bad issues for their chapter. Not really the best frat on campus, but not the worst! They could do a lot better!

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Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 3.4 They aight but I’ve heard many stories about them and a lot about what goes on at parties. I have encountered some genuine men but when it comes to being drunk these guys are animals ,
3.4
BOTTOM TIER
By: Kakasig Posted:

They aight but I’ve heard many stories about them and a lot about what goes on at parties. I have encountered some genuine men but when it comes to being drunk these guys are animals ,

Associates with:
Sigma Chi Fraternity
Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 4.7 Interesting group of men who are fun and caring. They are also the top dogs on campus who are involved in different aspects of the campus.
4.7
TOP TIER
By: Snow bunnyPosted:

Interesting group of men who are fun and caring. They are also the top dogs on campus who are involved in different aspects of the campus.

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Sigma Chi Fraternity
Kappa Kappa Gamma Sorority

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 4.4 Everyone in campus knows they’re too. They’re party animals but still care about their brotherhood
4.4
TOP TIER
By: LolPosted:

Everyone in campus knows they’re too. They’re party animals but still care about their brotherhood

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 2.4 Some of their brothers were very pushy I did t really like how they can pressure people to do things. Cool parties but kinda creepy
2.4
MIDDLE TIER
By: Pol Posted:

Some of their brothers were very pushy I did t really like how they can pressure people to do things. Cool parties but kinda creepy

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Kappa Sigma - ΚΣ Fraternity at University of California, Merced - UCM 4.9 Aside from being one of the biggest fraternities on campus, they are genuine people and I had no problem speaking with any of the members.
4.9
TOP TIER
By: Ucm Posted:

Aside from being one of the biggest fraternities on campus, they are genuine people and I had no problem speaking with any of the members.

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Sigma Chi Fraternity
Kappa Kappa Gamma Sorority

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