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
melomori [17]
3 years ago
10

If f Subscript x​(a,b)equals f Subscript y​(a,b)equals​0, does it follow that f has a local maximum or local minimum at​ (a,b)?

Explain. Choose the correct answer below. A. Yes. The point​ (a,b) is a critical point and must be a local maximum or local minimum. B. Yes. The tangent plane to f at​ (a,b) is horizontal. This indicates the presence of a local maximum or a local minimum at​ (a,b). C. No. One​ (or both) of f Subscript x and f Subscript y must also not exist at​ (a,b) to be sure that f has a local maximum or local minimum at​ (a,b). D. No. It follows that​ (a,b) is a critical point of​ f, and​ (a,b) is a candidate for a local maximum or local minimum.
Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

The point must be a critical point but it could be a saddle point. If the point is a saddle point it would not be neither a maximum nor a minimum. So it must be critical but it does not follow directly that it has a local maximum or local minimum.

Therefore D. (a,b) would be a candidate, but is not necessarily a maximum or minimum. It could be a saddle.

You might be interested in
B=1/4af solve for a<br> if u could answer this as fast as possible that would be great
liq [111]

Answer:

b/(1/4)(f)=a

Step-by-step explanation:

b=1/4af

b/(1/4)(f)=a

6 0
3 years ago
Read 2 more answers
50 POINTS, PLEASE ANSWER
ludmilkaskok [199]

Step-by-step explanation:

Part 1:

Rotation counterclockwise 90 &degree; of a point is

Here is a table of the transformation of all four points:

P(-7,0)-> P'(-0,-7) =P'(0,-7)

A(-4,2)-> A'(-2,-4) 

R(-3,0)-> R'(0,-3)

K(-6,2)-> K'(-2,-6)

The initial and rotated images are shown attached.

Part 2: it needs to be done with the technology tool that you have.  We can check your work if you post what you did.

7 0
3 years ago
Read 2 more answers
Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second.The distance d (in
Sergio [31]
About 2 seconds away from you
4 0
3 years ago
The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length
mafiozo [28]
Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16

Therefore, length = 20 meters and width = 16 meters
7 0
3 years ago
The area of a rectangle invitation card is 3/10 square foot. Given that the length of the card is 4/5 foot, find its perimeter.
Leokris [45]
Area is length times width [A=(L)(W)], if we know that the area of the card is 3/10 and the length is 4/5 we can set up the equation 3/10=(4/5)(W) where W is width. Solve for W by deciding both sides by 4/5 and we get that W=3/8. To find the perimeter of the card were have to add up all the sides of the card so 3/8+3/8+4/5+4/5 which equals 47/20
8 0
3 years ago
Read 2 more answers
Other questions:
  • and to my sneakers but a total of 305.43 dollars on the groceries.She spent 213.20 in first month.How much did she spend in the
    11·1 answer
  • 52.46 round to the nearest one
    10·2 answers
  • The area of the Pacific Ocean is about 6.0061×10^7 square miles. The area of the Southern Ocean is about 7.8483×10^6 square mile
    8·2 answers
  • Sum is 9 product is 8
    9·2 answers
  • 1/3 of the guests chose beef
    7·1 answer
  • Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl
    5·1 answer
  • What is the value of b
    8·2 answers
  • równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma
    14·1 answer
  • At Farmer Jones Market, bananas cost $.80 per pound. At Farmer Garcia's
    14·1 answer
  • Hudson runs 4 miles per day. What is the relationship between the number of days and how many miles he has run
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!