Question

2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2 (a) Find fx = and fex = . (5 marks) (b) Find fy
0 0
Add a comment Improve this question Transcribed image text
Answer #1

fox 11 Чx- (Ы) Ға, 3) = ast-84 +5+за (у х— 8 } & fax - F9х+5+41 * * * * = |а| (c) for critical point Put fato, fyzo Ч- ду = -

Add a comment
Know the answer?
Add Answer to:
2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2. Let f(x,y) = 2x2 - 6xy + 3y2 be a function defined on xy-plane (a)...

    2. Let f(x,y) = 2x2 - 6xy + 3y2 be a function defined on xy-plane (a) Find first and second partial derivatives of (b) Determine the local extreme points off (max., min., saddle points) if there are any. (c) Find the absolute max. and absolute min. values of f over the closed region bounded by the lines x= 1, y = 0, and y = x

  • pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3...

    pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...

  • 73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x,...

    73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x, y) = e Ax-x2-6-y Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank fx = fy = fix fxy - fyy The critical point with the smallest x-coordinate is | (local minimum, ) Classification: local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate...

  • I need help with this question, thank you! (1 point) Consider the function f(x, y) =...

    I need help with this question, thank you! (1 point) Consider the function f(x, y) = e-4x-x?+8y=y2. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx fxy fyy = The critical point with the smallest x-coordinate is ) Classification: ( (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: ( (local minimum,...

  • Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of...

    Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of f around P can be approximated by its second order terms according to Taylor series, that is, f(x,y) = f(P) + F(x – xo)?H (x, y) , where H(x, y) = fyy(P)(=%)2 + 2 fxy(P) (?=%) + fxx(P). (a). If H(x, y) > 0 for all x,y, is P a local max, local min or saddle point? (b). Let s = (4=90). Then, H(x,...

  • Let f(x, y) = 5x2 - 4x + 5y + 4y2 + 8xy List the critical...

    Let f(x, y) = 5x2 - 4x + 5y + 4y2 + 8xy List the critical point: Preview The critical point is a Select an answer Get help: Video

  • Find fxy(x.y) if f(x,y) = 4x² +6y2 -2. fxy(x,y) = i View an Example Х Find...

    Find fxy(x.y) if f(x,y) = 4x² +6y2 -2. fxy(x,y) = i View an Example Х Find fxy(x,y) if f(x,y) = 13x + 5y-7. To find fxy(x,y), the second partial derivative, we will first find tx(x,y), the first partial derivative with respect to x. To find the derivative of 13x + 52 - 7 with respect to x, treaty as a constant. 6(x,y)-(13x² + 5y? - 7) = 26x To find fxy(x,y), we will differentiate fx(x,y) - 26x with respect to...

  • find fxx(x,y), fxy(x,y), fyx(x,y) and fyy(x,y) for the function f. f(x,y)=8xe^5xy 19. Find fxx (x,y), fxy(x,y),...

    find fxx(x,y), fxy(x,y), fyx(x,y) and fyy(x,y) for the function f. f(x,y)=8xe^5xy 19. Find fxx (x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the function f. f(x,y) = 8x e 5xy fx(x,y)= fxy(x,y)= fyx (x,y) = fyy(x,y) =

  • Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7...

    Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.

  • Problem #10: Consider the following function. 8(x,y) = {2x2 – 3y2 +6V6 y (a) Find the...

    Problem #10: Consider the following function. 8(x,y) = {2x2 – 3y2 +6V6 y (a) Find the critical point of g. If the critical point is (a, b) then enter 'ab' (without the quotes) into the answer box. (b) Using your critical point in (a), find the value of D(a,b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a). Problem #10(a): Enter your answer...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT