Question
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) =
f(x, y) = 5x2 + 4y? $2(5, - 1) =
Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) =
Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) =
Find the critical point of the function f(x, y) = – 4 + 2x + 5x² + 7y + y2 This critical point is a: Select an answer Select
Find and classify the critical points of z = (x2 – 8x)(y– 4y) Local maximums: Local minimums: Saddle points: For each classif
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Pa, Y) 476 - 51754 gye Px: partial derivative of f (2,7) with respect to a Sx (2,4)= 24 25 - 545 fy: Partial derivative or plP (2,7) = - 4 + 2x + 5 x ² + 7y + 42 5x = 2 + 10x Sy= 7+24 Critical points when Se = Syao na 2+ 10x co - 28-ls 7+2y=0 - y = -Zax=242 - 84 Zay= 4x4 - 80 - 164+32 Zyy = 222_168 Zax Zay Zyx ZyY = 129 - 84 404-82-164 +32 1487-82-164 +32 222_16x at (0,0)

Add a comment
Know the answer?
Add Answer to:
please show work, im so lost on all of these Given f(x, y) = 4x 5xys...
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
  • 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,...

  • Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y). f(x,y)f(x,y) has 4 critical points. List them in ...

    Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y). f(x,y)f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x<zx<z or if x=zx=z and y<wy<w. Also, determine whether the critical point a local maximum, a local minimim, or a saddle point. First point (____________,__________) Classification: Second point(__________,__________) Classification: Third point (___________,_________) Classification: Fourth point (__________,_________) Classification:

  • 1. Find all critical points for the given function and classify each as a local maximum,...

    1. Find all critical points for the given function and classify each as a local maximum, local minimum, or saddle point. a) f(x,y)= 2 +2y2-2xy + 4x-6y-5 b) f(z, y) = 813 + 6xy2-24r2-6y2 + 4 d) f(x,y) = cosx cos y,-r<1<T,-π < y < π

  • Help! Please do both of them with detailed explanation Find and classify the critical points of z- 28) ( -3y) Loca...

    Help! Please do both of them with detailed explanation Find and classify the critical points of z- 28) ( -3y) Local maximums: Previevw Local minimums: Preview Saddle points: Preview For each classification, enter a list of ordered pairs (r, y) where the max/min/sac Get help: Video Points possible: 1 This is attempt 1 of 3. Submit Due in 9 Suppose that f(z, y) yy3 3y with D (, y) | 0 y 3) 1. The critical point of f(z, y)...

  • 10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative...

    10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...

  • 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...

  • Exercise 5. Extreme values (8 pts+12 pts) Let f(x, y) = 2x2 - 4x + y2...

    Exercise 5. Extreme values (8 pts+12 pts) Let f(x, y) = 2x2 - 4x + y2 – 4y +1. 1) The number of critical points of f is: a. 0 b. 1 c. 2 d. 3 2) The point (1,2) is: a. a local maximum for f b. a local minimum forf c. a saddle point for f

  • 4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and...

    4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and determine whether they are local minimum, maximum, or saddle points. For the critical points give us local extreme values, what are these extreme values (if any)?

  • Exercise 5. Extreme values (8 pts+12 pts) Let f(x,y) = 2x2 - 4x + y2 –...

    Exercise 5. Extreme values (8 pts+12 pts) Let f(x,y) = 2x2 - 4x + y2 – 4y +1. 1) The number of critical points of f is: a. 0 b. 1 c. 2 d. 3 mi b. d. 2) The point (1,2) is: a. a local maximum for f b. a local minimum for f c. a saddle point forf b. C.

  • (1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of...

    (1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of f(x, y). If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e.g., "(1,2), (3,4). (5,6)" Critical points are List all critical points of f(x,y) which are local maxima. If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e... "(1,2), (3,4), (5,6) Local maxima occur...

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