1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
2 years ago
9

Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points.

Mathematics
1 answer:
ASHA 777 [7]2 years ago
4 0

Answer:

y =-x ---- critical point

local minima

Step-by-step explanation:

Given

f(x,y) = x^2 + y^2 + 2xy

Required

Determine the critical point

Differentiate w.r.t x

f_x =2x + 2y

Differentiate w.r.t y

f_y =2y + 2x

Equate both to 0

2x + 2y =0

2y =0-2x

2y =-2x

Divide by 2

y =-x ----- in both equations

Hence:

The critical point is: y =-x

Solving (b):

We have:

f_x =2x + 2y

f_y =2y + 2x

This is represented as:

D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right]

Calculate the determinant

|D| =2 * 2 -2 * 2

|D| = 4-4

|D| = 0

The critical point is at local minima

You might be interested in
Write the list of integers in increasing order from left to right.12, -4, -9,2, -2.
kotykmax [81]

we have the list

12, -4, -9,2, -2

rewrite in increasing order from left to right

The answer is

<h2>-9,-4,-2,2,12</h2>
5 0
1 year ago
Help me out with this question (geometry)
nadezda [96]

Answer:

116

Step-by-step explanation:

13x-1 = 2(6x+4)

13x-1 = 12x+8

x=9

6 0
3 years ago
The grid model expressed as a ratio of shaded squares to total squares is _____
fredd [130]

Answer:

1  = 25/50

2 =  1/2

3 = 0.50

4 = 50%

Step-by-step explanation:

i got it right on edg and i hope it helps :)

4 0
3 years ago
Solve the equation for x. If necessary round to the nearest tenth.<br> x² = 17<br> X=<br> +
Ilya [14]

Answer:

x = 4.1 & x = −4.1

Step-by-step explanation:

x^2 = 17\\

x  =  ±√17

x  =  √17,  −√17

x = 4.1 & x = −4.1

7 0
2 years ago
Geomtry 20 points: find m
Amiraneli [1.4K]

Answer:

it is not factorable

Step-by-step explanation:

it is not factorable

3 0
3 years ago
Other questions:
  • the singh and robinson families planned a trip to busch gardens. they needed to buy one ticket per person and then pay for parki
    8·1 answer
  • Greg's ceiling fan rotates 30 degrees and then stops. How many more times does it need to rotate to make a full rotation?
    7·1 answer
  • Sena determines the remainder of 4x32−14x16+2x3−8x−1, using the remainder theorem. How does she proceed to the correct answer? D
    12·1 answer
  • 4. Last year there were 600 students
    11·1 answer
  • PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, a
    12·1 answer
  • 5. You sell candy bars for a fundraiser. Each box contains 50 bars and costs $30. If you want to make $45 profit for each box, h
    10·2 answers
  • Please help me brainlessly
    8·2 answers
  • What is the value of log, 1257<br> 0 3<br> O 5<br> o 15<br> o 25
    9·2 answers
  • Help meee please the one i clicked on was by accident thanks
    7·1 answer
  • Could anyone answer this math question for me?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!