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
snow_lady [41]
3 years ago
15

How does the domain change when finding the extremum of a function with and without constraints

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

if we want to find the maximum or minimum of a function, there are some methods, like see where the derivate is equal to zero and such.

Now, if we have a constraint, for example x> 4

This obviously changes the domain of the possible points where we can find the extremum.

But particularly, we can check at x  = 4 and see it there is a maximum.

if the constraint is x > 4, then then we may found a upper/lower bound.

if the constraint is x ≥ 4, then we may find a maximum/minimum.

Now, when we work with more complex situations, like find the maximum value of f(x) while we have the constraint g(x) = x^4 + x^3 + x^2 = 5

Then the domain will be equal to the intersection of the domains of both functions:

This means, the only possible values that we can input in f(x) to search the extremes, are the values of x such that x^4 + x^3 + x^2 = 5, so this relation defines our new domain (remember that f(x) also may have problems in some values of x, this is why we take the intersection of the domains of f(x) and g(x))

This means that constraints can limit a lot the domain of our functions.

You might be interested in
C. A wheel barrel tire has circumference of 31.42 inches, find the area of the tire
butalik [34]

Answer: 78.55inches

Step-by-step explanation: see attachment

4 0
3 years ago
Which equation represents a proportional relationship?
bonufazy [111]
It's the first one. y = 3x
proportional means they are just some multiple of the other.
4 0
3 years ago
Read 2 more answers
Determining slope and y-intercept
maw [93]

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

3 0
2 years ago
1. Recall the three modes of transportation in the 3D world: v1 = 1-u,-13 ,v,- 6 Is there anywhere in the 3D world that Gauss co
jolli1 [7]

Complete Question

The complete question is on the first uploaded image

Answer:

The answers and the explanation are on the second ,third and fourth uploaded image

Step-by-step explanation:

3 0
3 years ago
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
enyata [817]

Average speed: distance traveled/elapsed time

= 75/30

= 2.5 meters per second.

Best of Luck!

5 0
3 years ago
Other questions:
  • A word phrase that can be represented by b - 27
    15·1 answer
  • What is 2÷766 in long division ​
    10·1 answer
  • What is 9/4 divided by 3/4 ?
    11·2 answers
  • d.) The expression that describes the network of logic gates: Is [A AND (NOT B)] OR (NOT B). Complete the input-output table for
    6·1 answer
  • Amanda has a board that is 7 feet long. how many 1/4 foot sections can she cut from this board
    12·1 answer
  • How many thousands = 4,000 ones
    8·1 answer
  • What's the square root of 25, 100, 36, 84, and 4.
    8·1 answer
  • Can the probability of an event be 1.5? Explain.<br><br> i need help
    5·2 answers
  • What is the next term in the sequence 5, -15, 45, -135, ...?<br> 270<br> 405<br> 675<br> -270
    8·2 answers
  • Gary has 9 quarts of paint. If He Uses Half How Much gallons will he have.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!