Suppose f(x) is a function which satisfies f'(3) = 0,f'(5) = 0, f"(3) = -4, and f"(5) = 5.
Which of the following statements is true?
A. f(x) has a relative minimum at x = 3 and at x = 5.
B. f(x) has a relative minimum at x = 3 and a relative maximum at x = 5.
C. f(x) has a relative maximum at x = 3 and at x = 5.
D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.
E. None of the above is true,


Any help​

Answers

Answer 1
if you find the answer let me know please e
Answer 2

Using the concept of critical point and the second derivative test, it is found that the correct option is:

D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.

The critical points of a function [tex]f(x)[/tex] are the values of x for which [tex]f^{\prime}(x) = 0[/tex].

Applying the second derivative test at the critical points, we have that:

If positive, that is, [tex]f^{\prime\prime}(x) > 0[/tex], it is a relative minimum.If negative, that is, [tex]f^{\prime\prime}(x) < 0[/tex], it is a relative maximum.If zero, that is, [tex]f^{\prime\prime}(x) = 0[/tex], we do not have sufficient information.

In this problem:

[tex]f^{\prime}(3) = 0, f^{\prime\prime}(3) < 0[/tex], thus, there is a maximum at x = 3.[tex]f^{\prime}(5) = 0, f^{\prime\prime}(5) > 0[/tex], thus, there is a minimum at x = 5.

The correct option is:

D. f(x) has a relative maximum at x = 3 and a relative minimum at x = 5.

A similar problem is given at https://brainly.com/question/16944025


Related Questions

Which of the following formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?

50 POINTS!

Answers

Answer:

I'm sorry if im wrong but I'm thinking option 2 4 and 6

Answer:

I think it's options 2, 3, and 4

Hope it helps, sorry if I'm wrong :)

65 decreased by twice a number

Answers

I believe it is 67-67=2 I might be wrong

Martha and Janet each decide to invest $600 into different accounts. Martha's account earns $4.50 every month. Janet's account earns 0.65% in interest every month. Which statement correctly compares the amount of money in Martha's and Janet's accounts.​

Answers

Answer:

Janet's interest is $3.90 every month.

Step-by-step explanation:

First, you need to set up a proportion to find Janet's interest:

0.65%/100 = x/600

Step 1: Cross-multiply.

0.65/100/100 = x/600

(0.65/100)*(600)=x*(100)

39/10=100x

Step 2: Flip the equation.

100x=39/10

Step 3: Divide both sides by 100.

100x/100=39/10/100

x=39/1000 (0.039)

Then move the decimal twice to the left to find the dollar amount:

0.039 ⇒ 3.90

Janet's interest is $3.90 every month.

HOPE THIS HELPS!!! <33333

-Silver

The answer is 3.90 per month.

Which choice shows the product of 22 and 49?

Answers

what are the choices?

Product of 22 and 49 is

(22)(49) = 1078

Option C

Given :

the product of 22 and 49

Explanation :

We need to find which option is correct to find product of 22 and 49

Product mean multiplying the numbers

so we need to multiply 22 and 49

22

49

----------

198

88

-------------

1078

So the product of 22 and 49 is 1078

(22)(49)=1078

Option C is correct

Polynomial long division problem 25 points

Answers

Answer:

  this is the simplify answer

2x^3−5x^2+x−10/  x^2−4x+1

Step-by-step explanation:

hope i helped

Help!!!! Cause this is my bro work

Answers

Answer:

E

Step-by-step explanation:

4^3^2÷4^2^3


80 % will be fail​

Answers

Answer:

4

Step-by-step explanation:

Answer 4
Explanation........ or maybe use photo math an app

Luis makes $23.10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34.65 per hour. If Luis works 46 hours in one week, how much does he earn?
a.
$1,062.60
b.
$1,097.25
c.
$1,131.90
d.
$1,593.90

Answers

Answer:

[tex]Pay = \$1593.90[/tex]

Step-by-step explanation:

Given

[tex]Rate = \$23.10[/tex] --- first 40 hours

[tex]Rate = \$34.65[/tex] --- more than 40 hours

Required

Determine his pay for 46 hours

46 hours is greater than 40 hours. SO, we use the second rate to calculate is earnings.

[tex]Pay = Rate_2 * 46[/tex]

[tex]Pay = \$34.65 * 46[/tex]

[tex]Pay = \$1593.90[/tex]

Hence, his earnings is (d) $1,593.90

Answer:

Luis makes $23.10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34.65 per hour. If Luis works 46 hours in one week, how much does he earn?

a. )  $1,062.60

b. )  $1,097.25

c. )  $1,131.90

d. ) $1,593.90 <<<Correct

Step-by-step explanation:

Edge 2021


Find the area of the figure.
A)
30 cm
B)
36 cm?
42 cm?
D
48 cm
12
2

Answers

Answer:

oop

Step-by-step explanation:

Is the product of 12 and
3/4
more or less than 12? Explain your answer In complete sentences.

Answers

Answer: The product of 12*3/4 is less than 12

Step-by-step explanation: I can see this right from the start by noticing that to be at least 12, then 12 would have to be multiplied by at minimum 1 meaning 12*1=12 anything less than 1 would result in a lesser value than 12

what's 0.4 divided by 0.242

Answers

Answer:

the answer is 1.65

Step-by-step explanation:

i hope this helps

Answer:

1.65289

Step-by-step explanation:

Simplify the product
-n(6n+3)
Please do Step-by-Step

Answers

Answer:

[tex]\boxed{\sf{-6n^2-3n}}[/tex]

Step-by-step explanation:

This product can be solved by multiplying these parentheses left to right using a distributive property.

Distributive property:

[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{-n(6n+3)=-n*6n-n*3}[/tex]

Rewrite the problem down.

-n*6n-n*3

Solve.

-n*6n-n*3=-6n²-3n

[tex]\Longrightarrow:\boxed{\sf{-6n^2-3n}}[/tex]

Therefore, the correct answer is -6n²-3n.

I hope this helps you! Let me know if my answer is wrong or not.

i will give brainliest to the right answer:)

Answers

Answer:

3/8

Step-by-step explanation:

Please help and no the answer is not 19.575

Answers

The answer is correct the reason it’s probably wrong is because with money you can’t have .575 cents. so your answer would be 19.58

Answer:

do you need to simplify the answer? because if so... its $19.57 i dont know what you dont get so please explain to me

Step-by-step explanation:

Help help (12 points)

Answers

Answer:

2m+2m

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

m+m+m+m=4m

4m-2m=2m

_m=2m

2

is this a function { (1,4), (2,5), (-1,3), (8,7), (2,2) }​

Answers

Answer:

no because the 2 in the x-value repeat

Step-by-step explanation:

Answer:

no.

each input (x) can only have one output (y) for it to be a function

2,5 and 2,2 could not be in the same table if it were a function.

(could you give me brainliest please? I'm one away from leveling up)

HELP ASSIGNMENT MATH THERE ARE 5 PICTURES PLEASE HELP!! IF YOU KNOW ONLY ONE JUST COMMENT IF YOU KNOW ALL OF THEM ANSWER MY QUESTION

Answers

Answer:

go get a 19 dollor fortnite card

Step-by-step explanation:

Is there
a way to place 29 books on shelves so
that each shelf has the same number of books,
with more than one book on each shelf?
Explain.

Answers

Answer:

no

Step-by-step explanation:

no because 29 is a prime number, meaning its only factors are 1 and 29. if you were to have more than 1 book on each shelf then you would go into half and quarters of books.

Answer:

29 is only divisible by 1 and 29

so

you could either do one on each shelf or all 29 on one shelf

The product of twice a number and five is the same as the difference of nine times the number and 3/4. Find the difference

Answers

Answer:  

I think the answer is -3/4

Step-by-step explanation:

Let x = a number

(2x)(5) = 9x - (3/4)

10x = 9x - (3/4)

Subtract 9x on both sides of equation.

x = -3/4

Tell me how you solve this and ill mark you brainlist

Answers

Step-by-step explanation:

use this formula

:))))))

Answer:

5 years

T= 100× I = 100×10

P×R= 100× 2= 500

Remove the zeros = 5years

What is 2+2+2-2+4-8?

Answers

Answer:

Answer- 0

Step-by-step explanation:

2+2+2-2+4-8= 4-2+4-8=0

hope this helps :)

Does the formula for 'Volume of a Pyramid' ask something specific that the 'Volume of a Cube' and or 'Rectangular Prism' does not? Please explain your answer.

Answers

Answer:

Chicken nuggets from mcdonalds are good

Step-by-step explanation:

I had the same question and put that in and got it right ;)

find the value of x ( click photo and im in highschool not college)

Answers

Answer:

x = 130

Step-by-step explanation:

i just answered it

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

What is 5/12 of 7/8?

Answers

Answer:

35/96

Step-by-step explanation:

Of means multiple so just multiply 5/12 and 7/8 and simplify the answer is 35/96

help pleaseeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The Answer is A. (0,9) hope I helped you

GIVING OUT BRAINLIST QUICK!

Answers

I think the answer would be 9? Correct me if I’m wrong

What is 1/4 of 1/2 ................................

Answers

Answer:

1/8

Step-by-step explanation:

'Of' means that you have to multiply, so you would have 1/4 • 1/2.

1/4 • 1/2 = 1/8

1/4 of 1/2 is fraction 1/8.

What is Number system?

A number system is defined as a system of writing to express numbers.

We have to find the value of 1/4 of 1/2

In the question of in the sense multiplication.

Multiplication is a method of finding the product of two or more numbers

1/4×1/2

One by four times of one by two

1/8

Hence,  1/4 of 1/2 is fraction 1/8.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

only people who know the answer
Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The garde has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the garden path?

Answers

Answer:

156ft of material.

Step-by-step explanation:

Since the garden path borders the garden and is 3 feet wide, it increases the side lengths of his garden by 3 feet on each side. Then we just find the perimeter using the new values:

[tex]P=36+36+42+42=156[/tex]

If this helped, a brainliest answer would be greatly appreciated!

Larry sometimes leaves garbage on top of the lunch tables at school and assumes the janitor will pick it up. Does this action show good citizenship? Explain your answer.

Answers

Answer:

No, this is not showing good citizenship.

Step-by-step explanation:

I said no because Larry is assuming that the janitor will pick it up for him, which is only giving the janitor more work to do. So Larry's action, therefore, does NOT show good citizenship. UwU

Please answer these 4 math questions for me! Pretty easy! need then ASAP!!!!! I have to get them right or my life is doomed! (cause my mom will kill me)

Answers

Answer:

114 for #1.      1.6 for #2.    $3600 for #3.    2 11/12 for #4.

Step-by-step explanation:

Other Questions
What kind of sentence error is demonstrated below?Tom felt that the newscast was confusing. That no one had given correct information on the time or place of thefire.no error foundfragmentcomma-splice Name three things you can do to cut college costs. Find the valu of (3x10^4)+(2x10^2)+(4x10) Five more than twice a number is nine.What is the number? In QRS, the measure of S=90, RS = 39 feet, and SQ = 92 feet. Find the measure of Q to the nearest degree. Write 2-3 paragraphs explaining the overall effect of the Industrial Revolution. View this 9.05 Pre-recorded Class for help on this assignment.You can use this 9.05 Graphic Organizer to help you organize your ideas before you write.Use evidence from your 9.05 Textbook pages 346-367. No more than 20% of your answer should be a direct quote from any resource. All other writing should be in your own words. Use quotation marks for these quotes.Your answer should be written in paragraph/essay format.Any sources used should be cited at the bottom of your paper.All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions. What's the surface area Plz I need help A)With one toss of a single number cube, what is the probability of rolling a number less than threeB)write the complement of the event in A and find it's probability Which technological advancement was developed in installations nearthese cities during World War II?Hanford, WashingtonOak Ridge, TennesseeLos Alamos, New Mexico-Long-range submarines-Radio navigation-Atomic bombso-Jet engines What is the midpoint of the line segment with endpoints at (4, 12) and (-10, 32)? someone write the answers please :) step by step A group of friends wants to go to the amusement park. They have $201.75 to spend on parking and admission. Parking is $5.75, and tickets cost $24.50 per person, including tax. How many people can go to the amusement park? pleassee help asap its only one question ..its the bottom one and its 30 points plzzzzzzzz I need this one, who can help me?, please. Which is a common area of conflict for families?starting new traditionsO saving moneyO making new friendsgoing to a universityVaru On what part of the island nation of Taiwan is the capital city of Taipei located: north, south, east, or west? Who would you characterize yourself us the format Madelyn is working two summer jobs, making $8 per hour washing cars and $10 perhour clearing tables. Madelyn must earn no less than $150 this week. Write aninequality that would represent the possible values for the number of hours washingcars, w, and the number of hours clearing tables, C, that Madelyn can work in a givenweek.I NEED HELP Is the narrator character of The Yellow Wallpaper a reliable narrator?also I need evidence of why Can someone plz answer this question I'm struggling with?