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
Tanya [424]
3 years ago
10

Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu

aranteed by the Extreme Value Theorem to have an absolute maximum and an absolute minimum?
Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

You might be interested in
Find all real zeros of the function f(x) = 12<br> a. 5,7<br> b. 12<br> c.1<br> d. none
nydimaria [60]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Between what two integers is √95?
andrey2020 [161]

Answer:

Between 9 and 10.

Step-by-step explanation:

We know that √81 = 9 and that √100 = 10.

Since √95 is between √81 and √100, we know it will be between 9 and 10.

√95 = 9.74679

4 0
3 years ago
PLZ HELPPP
Anna [14]

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

4 0
2 years ago
Calculate 32 percent of 133
Rasek [7]
0.32 x 133
=42.56
:) hope that helps
3 0
3 years ago
Read 2 more answers
The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it r
Alisiya [41]
What is the probability that it also rained that day answer 0.3
7 0
3 years ago
Read 2 more answers
Other questions:
  • Ms. Murray asked her twenty students how many national parks each of them had visited. National Parks Visited Population Data 2
    8·1 answer
  • Capital Value An investment produces a perpetual stream of income with a flow rate of
    8·1 answer
  • The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.
    15·1 answer
  • What is 1/4 + 1/2 plzzz help ​
    9·2 answers
  • A=1/2(b-c) make the subject b
    7·1 answer
  • Considere o produto 2.2.2.2.2.2.Escreva-o como potência de base.<br> OBS:Não é de marcar...
    10·1 answer
  • Anyone wanna help me answer this? Help me out please
    10·1 answer
  • Write an expression for the total cost of movie tickets and popcorn for a group of friends attending a movie, x, if: Movie ticke
    15·1 answer
  • 23 + 62 ÷ 9 what is the anwser
    9·1 answer
  • Please help with this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!