How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer 1

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).


Related Questions

ANSWER ASAP! NEED HELP

Answers

Can anyone answer my question I’ve already posted like 3 pictures of it and no one is answering it please help me :(

f(x) = -x^2 + 9x +4
Find f(-8)​

Answers

Answer:-132

Step-by-step explanation:

4x-8 = 12
4x - 8 + 8 = 12 + 8
4x= 20
4/4x=20/4 x=

Answers

Answer:

x=5

i just got it right on my quiz

Answer:

x5

Step-by-step explanation:

Please help

Which of these triangles is NOT possible?

Answers

Answer:

B

Step-by-step explanation:

The sides must be greater than 13 for a triangle to even exist

Answer:

B

Step-by-step explanation:

I Just took the test

b) Solve x + 5x – 14 = 0

Answers

5x+x=14
14/6= 2.3
x=2.3

Answer:

2 1/3

Step-by-step explanation:

Step 1:

x + 5x - 14 = 0      Equation

Step 2:

6x - 14 = 0      Combine Like Terms

Step 3:

6x = 14      Add 14 on both sides

Step 4:

x = 14 ÷ 6        Divide

Answer:

x =  2 1/3

Hope This Helps :)

HELP ASAP PLEASE

Given x^2=81, select all possible values of x.

A. -9
B. -3
C. 0
D. 3
E. 9

Answers

Answer:

A and E

Step-by-step explanation:

x² = 81

~Take the square root of both sides

x = ±9

Best of Luck!

Answer:

The answer is a and e

Step-by-step explanation:

How many different rays can be formed from five collinear points?

Answers

Answer:

eight

Step-by-step explanation:

There are eight different rays that can be formed from five collinear points.

What are the collinear points?

Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear.

If five points are collinear, it means they lie on a single straight line.

The number of rays is determined by n collinear points

In general, for n collinear points, there are 2(n−1) different rays.

As per the question, substitute the value of n = 5 for the above formula,

⇒ 2(5−1)

⇒ 2 x 4

⇒ 8

Thus, there are eight different rays can be formed from five collinear points.

Learn more about the collinear points here:

brainly.com/question/5191807

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A polling company reported that ​% of surveyed adults said that Complete parts​ (a) through​ (d) below.


a. What is the exact value that is 37% of 1018?
b. Could the result from part​ (a) be the actual number of adults who said that Why or why​ not?

1. ​No, the result from part​ (a) could not be the actual number of adults who said that because that is a very rare opinion.
2. ​No, the result from part​ (a) could not be the actual number of adults who said that because a count of people must result in a whole number.
3. ​Yes, the result from part​ (a) could be the actual number of adults who said that because the polling numbers are accurate.
4. ​Yes, the result from part​ (a) could be the actual number of adults who said that because the results are statistically significant.

c. What could be the actual number of adults who said that The actual number of adults with this opinion could be 296. ​(Type an integer or a​ decimal.)
d. Among the 1018 respondents, 415 said that cellular phones are not at all harmful. What percentage of respondents said that cellular phones are not at all harmful?

Answers

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

Phil Dunphy, a real estate agent, is considering whether he should list an unusual $262,023 house for sale. If he lists it, he will need to spend $3,111 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,752. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 40%. What is the expected profit on this listing?

Answers

Answer: $4,789.80

Step-by-step explanation:

If Phil is able to sell the house, the profit he makes will be;

= Commission - expenses

= 19,752 - 3,111

= $16,641

If he is unable to sell in 6 months he will lose $3,111.

His expected profit will be a weighted average of the two possibilities;

= (40% * 16,641) + ( 60% * -3,111)

= ‭6,656.4‬0 + (-‭1,866.6‬)

= $4,789.80

d(t) = 50t
The variable t represents?

Answers

Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

12 =7 solve.



Bro wat does this mean i dont get it please help someone :\

Answers

Answer:

if it says 12x = 7

the u will divide the 12 on both sides and x will equal to 7/12,,

if it simply says 12 = 7 then put false cause that's not true!!

Face no more through a garden and travels 1 1/8 meters in 1 1/2 minutes what is the snail’s rate in minutes per meter? HELP ME I NEED IT ASAP

Answers

Answer:

4/3 per minute

Step-by-step explanation:

Triangle ABC is shown below.
What is the length of line segment AC?
A
A
O 7
O 9
2x
3x-7
O 14
O 18
B
4x - 10
с

Answers

Answer:

the answer is 14 C

Step-by-step explanation:

just took the test?

the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number​

Answers

Answer:

11 and 45=34

Step-by-step explanation:

dsnsnafsysjsbdfysjqbscs hi sweets

Someone please help!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Step 1: Define

xy + |-49/1|(-1)

x = 7

y = 8

Step 2: Simplify

xy + |-49|(-1)

xy + 49(-1)

xy - 49

Step 3: Substitute and Evaluate

7(8) - 49

56 - 49

7

Answer:

7

Step-by-step explanation:

xy + | -49/1| (-1)

Let x=7 and y = 8

7*8 +  | -49/1| (-1)

56 +  | -49/1| (-1)

The absolute value of -49 is 49

56  +49 (-1)

Multiply

56-49

7

What is 14 + (8y + 2) =

Y=5

Answers

Answer:

not sure but i think 64 ?

14+((8x5)+2)=14+42=56

Evaluate the following functions at x = 10 q(x)=x^2-2x+2​

Answers

Answer:

82

Step-by-step explanation:

given:x=10

Evaluating,

(10)²-2(10)+2

=100-20+2

=80+2

=82

Pls mark me brainliest

please help explain if you can​

Answers

Answer:

A

Step-by-step explanation:

58-90 bc its a right triangle

hope this helps

Salena needs to purchase 9 skirts for a new job. her friend, Jamie goes with her each of the skirts costs $41. Salena says that she can find the total cost by multiplying 9 and 4 and adding that to product of 9 and 1. Jamie disagrees and says that she needs to find the product of 9 and 40 and add that to the product of 9 and 1. Who is correct and why?

Answers

Answer:

Jamie is correct. This is because 41 is a combination of 40 and 1. Salena thinks that the 4 is just a 4, however, the 4 is in the tens place, so the 41 without the 1 is 40. The answer to this 41 times 9 is 369. Not 45.

Step-by-step explanation:

Each skirt is $41

Salena needs 9

(9*40) + (9*1)

360   +   9

    $369

What is the value of x?

sin(x+22)°=cos(2x−7)°

Answers

Answer:

x is 25

Step-by-step explanation:

sin(x+22)° = cos(2x-7)°

since,

sin theta = cos(90 - theta)

we can substitute that in (let theta = x + 22)

sin(x + 22) = cos(90 - (x+22))

we also know

sin(x+22) = cos(2x-7)

thus cos(90 - (x+22)) = cos(2x-7)

cos(90 - (x +22)) = cos(2x-7)

cos(90 - x -22) = cos(2x - 7)

cos(68 - x) = cos(2x - 7)

68 - x = 2x - 7

68 + 7 = 2x + x

75 = 3x

x = 75/3

x = 25

what is the values if 5 in 52105 ​

Answers

5 is in the Ten thousandths place

Answer:

5 is equal to 50000 and 5 is equal to 5

Step-by-step explanation:

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant

Answers

9514 1404 393

Answer:

  C, M

Step-by-step explanation:

The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.

__

Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.

Answer: C M

Step-by-step explanation:

ASAP!!! PLEASE HELP
10 points

Answers

This is the answer hope you get it :)

The base of a triangle is 12 inches greater than the height. If the area is 80 square inches, find the length of the base
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Because the area of a triangle you have to divide by 2 and then you get the area right so we multiply 80 x 2 = 160 is the area of the square which you divide by 2 but we are not going to do that. now we have to get 2 lengths with 12 difference so we have to just do trial and error method.

Simplify the following expression, 3/8 divided by 1/4

Answers

The correct answer is 1.5 in decimal form but in fraction form it’s 3/2

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

Learn more about simplification of fraction, click here:

https://brainly.com/question/16510095

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Convierte a fracción: -7/8 porfavor ayudenmeeeeeee

Answers

it's already a fraction tho.

Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
are regularly $28. How much will be taken off the price?
$4,60
$8.00
$6.00
$5.60

Answers

$5.60 is correct. Multiply $28 by .20

Answer:

5.60 it answer D hope it helps ~••~

Find the difference in lowest term 7/18 - 3/18

Answers

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

Can someone help please?

Answers

Answer:

f htsbfzsrgbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

fxmynhyxmyrjnbvd

Write the equation of a line with slope 2 and y-intercept −1.
Answer:
y =

Answers

Answer: y = 2x - 1

Step-by-step explanation: The form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Just plug in the values, and you have your answer!

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