Physics Exam > Physics Questions > Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a ...
Start Learning for Free
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2 has a minimum at (-√α, √α) and (√α, - √α) Find the value of α.
Correct answer is '2'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√&alph...
⇒
Solving, we get 
r = 12x2 - 4
s = 4
t = 12y2 – 4
at (-√2, √2)
r = 20, s = 4, t = 20
rt - s2 > 0 and r > 0 ∴ minimum
s = 4
t = 12y2 – 4
at (-√2, √2)
r = 20, s = 4, t = 20
rt - s2 > 0 and r > 0 ∴ minimum
The correct answer is: 2
Most Upvoted Answer
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√&alph...
Unfortunately, the given function does not have a minimum at a specific point. The function f(x, y) = x^4 + y^4 - 2x^2 - 4xy - 2y^2 is an equation of a surface in 3-dimensional space. It does not have a minimum or maximum at a single point. Instead, it may have local minimum or maximum points or saddle points on the surface. To find these points, you would need to find the critical points by taking partial derivatives with respect to x and y and setting them equal to zero. Then, you can use the second partial derivative test to determine whether these critical points are local minimum, maximum, or saddle points.
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer?
Question Description
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer?.
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer?.
Solutions for Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer?, a detailed solution for Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? has been provided alongside types of Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let f(x, y) = x4 + y4 - 2x2 + 4xy - 2y2has a minimum at (-√α,√α) and(√α, - √α)Find the value ofα.Correct answer is '2'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup