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
Neporo4naja [7]
3 years ago
11

Use the given function and the given interval to complete parts a and b. f (x )f(x)equals=negative 2 x cubed plus 21 x squared m

inus 60 x−2x3+21x2−60x on [1 comma 6 ][1,6] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What​ is/are the absolute​ maximum/maxima of f on the given​ interval? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The absolute​ maximum/maxima is/are nothingat xequals=nothing. ​(Use a comma to separate answers as needed. Type exact​ answers, using radicals as​ needed.) B. There is no absolute maximum of f on the given interval.

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

(A)The absolute maximum of f(x) is at x=5

Step-by-step explanation:

F(x)=−2x³+21x²−60x on [1,6]

Find the first derivative.

f'(x)=-6x²+42x-60

Set the first derivative equal to zero.

-6x²+42x-60=0

Solve to find the critical points.

x=2,5

Next, we use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval.

x=1,2,5,6

This is done by evaluating the function at x=1,2,5,6.

F(1)=−2(1)³+21(1)²−60(1)=-41

F(2)=−2(2)³+21(2)²−60(2)=-52

F(5)=−2(5)³+21(5)²−60(5)=-25

F(6)=−2(6)³+21(6)²−60(6)=-36

The maximum will occur at the highest f(x) value and the minimum will occur at the lowest f(x) value.

Absolute Maximum: (5,-25)

Absolute Minimum: (2,-52)

The graph is attached.

The absolute minimum and maximum of f(x) are (2,-52) and (5,-25) respectively.

You might be interested in
I don't understand how to do this. Can someone help?
miskamm [114]
Time used for the call to Zurich: ($5-$1.25)/$0.25=15 minutes
15minutes+3minutes=18minutes
Time used for the call to London: ($7.25-$1.25)/$0.25=24 minutes
24minutes+3minutes=27minutes
Difference between the two calls:27-18=9minutes
3 0
3 years ago
On saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. one group received 28 ba
Tanzania [10]
29 card a piece! Hope it helps!
4 0
3 years ago
Pls help ASAP!!!!! I will mark as brainlist!!
juin [17]

Answer:

Isjsjsjjekeekkddkdkdkdjdjdjdjdjdj

Step-by-step explanation:

Susjjssjjswiwiwiwi2

3 0
2 years ago
Read 2 more answers
Which statements about square roots are true? Check all that apply.
Marina86 [1]
Bottom two are true
4 0
2 years ago
Read 2 more answers
Jane is is charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting
RSB [31]

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

7 0
3 years ago
Other questions:
  • How many solutions does this quadratic equation have ? y=x^2-8x-20
    10·1 answer
  • What is 69,000 rounded to the nearest hundred
    6·2 answers
  • Can somebody please help me out​
    8·1 answer
  • Which function can be used to find the number of cells of bacteria in the population at time t
    13·1 answer
  • Explain in words how to change a fraction to a percent
    12·2 answers
  • Help please! ill mark you brainliest!
    13·1 answer
  • Calculate the minimum value of the quadratic f(X)=x^2-6x+10<br>​
    9·1 answer
  • The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
    5·1 answer
  • Evaluate the expression -2.2 x (-2) divided by (-1/4) x 5<br> Thanks!
    8·1 answer
  • The symbol for a radioactive nuclide is superscript 131 subscript 56 upper b a.. which statement is correct? the atomic number o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!