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
babunello [35]
3 years ago
13

F(x) = x4 - 32x2 + 7

Mathematics
1 answer:
xenn [34]3 years ago
4 0
F is increasing if f '(x) = 4x^3<span> - 64x >0, so it is the same of  x(x^2 -16)>0, implies x>0 or (x-4)(x+4)>0, so x> + or -4
the answer is </span><span>(-4 , 0) ∪ (4 , infinity)

</span>f is decreasing if f '(x) = 4x^3 - 64x <0, so it is the same of  x(x^2 -16)<0, implies x<0 or (x-4)(x+4)<0, so x< + or -4
the answer is (- infinity, -4) ∪ (0 , 4)

<span>the local minimum and maximum
</span>f '(x) =0, impolies x=+ or -4, or x=0
or f'(o)=0,  and  f'(- 4)=f'(4)= 0, 
M(-4, 0) or M(4, 0) or M(0,0)

<span>inflection points can be found by solving f '' (x)=12x^2 - 64 =0
</span>x=+ or - 4sqrt(3) / 3
so the inflection point is  and M(- 4sqrt(3) / 3, f'' ( -4sqrt(3))  (smaller x value), and M(4sqrt(3) / 3, f'' (4sqrt(3)) (larger x value)

f is concave up if f ''>0
it means 12x^2 - 64>0, so the interval is (- infinity, -4sqrt(3) U (4sqrt(3), infinity)

f is concave down if f ''<0
it means 12x^2 - 64<0 so the interval is (-4sqrt(3)) U (4sqrt(3))

You might be interested in
under which of the following operations are the polynomials 8a 14 and 3b - 9 not closed? a. subtraction b. multiplication c. add
Alex787 [66]
<span>I think it's a. subtraction.</span>
8 0
2 years ago
The dependent variable, y is 6 less than the independent variable, x.
Maslowich

D) because “y is” means “y equals” leaving only 2 choices, and it said “6 less than the independent variable, 6. (Y=6-x)

3 0
3 years ago
(30 points)PLEASE HELP! LOVE Y'ALL SO MUCH THX! If x=3b and y= 2/6b+4 , what is y in terms of x?
Anastaziya [24]

Answer:

y=(1/9)x+4

Step-by-step explanation:

x=3b

b=(1/3)x

y=2/6(1/3)x+4

y=(2/18)x+4

y=(1/9)x+4

8 0
2 years ago
Read 2 more answers
What is the slope-intercept form of the linear equation x + 4y = 12?
Anna11 [10]
4y = 12 - x 
y = 3 - 1/4x
4 0
3 years ago
what does this mean? Could I be lectured on this? will give 50 points and brainliest to the fastest responder
KiRa [710]

Answer:

Nonproportional

Step-by-step explanation:

A line that is proportional will always pass through the origin (0, 0). If it does pass through the origin, then x and y have a proportional relationship.

Best of Luck!

7 0
2 years ago
Read 2 more answers
Other questions:
  • Find the distance between each pair of points. round your answer to the nearest tenth, if necessary. (-8, -5), (-4, 3)
    12·1 answer
  • Which triangle could be drown as it is described? DUE TONIGHT HELP PLZZZZZZ!!!!​
    7·1 answer
  • The students in Ms. Shen’s class are making decoupage boxes. Each box has 6 sides that can be covered by images. There are 20 st
    5·1 answer
  • Find the solution of the system of equations shown on the graph. <br> Please and thank you :)
    5·1 answer
  • -3*6<br> Multiplying and dividing integers
    15·1 answer
  • Southern Florida has a mild climate. Which statement about the probability of snow in June in southern Florida is most likely tr
    9·1 answer
  • 7(3x+-9) what is the answer
    13·2 answers
  • Please answer this question​
    5·1 answer
  • I need help solving for X
    5·2 answers
  • &gt; Which expression is equivalent to 1/3b - 7
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!