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
laila [671]
3 years ago
5

If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 &l

t; c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3
Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

  A)  f'(c) = 3

Step-by-step explanation:

The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...

  a < c < b

  f'(c) = (f(b) -f(a))/(b -a)

__

We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...

  f'(c) = (12 -(-3))/(4 -(-1)) = 15/5

  f'(c) = 3 . . . . for some c in the interval -1 < c < 4

You might be interested in
PLZ HELP!!!!
kherson [118]

Answer:

a=1 b=4 c=-5

Step-by-step explanation:

7 0
2 years ago
Pythagorean theorem
Talja [164]

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

5 0
3 years ago
Which equation describes the same line as y- 6 = -4(x + 1)?
just olya [345]

Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

8 0
3 years ago
Read 2 more answers
What is 45 divided by 8
Alenkasestr [34]
45 divided by 8 is 5 r. 5. You can write this like 5 5/8 too. 
5 0
3 years ago
Read 2 more answers
Find the Eigen values and
stepladder [879]

Answer:

14 × 23 = 322 this is you answer

4 0
3 years ago
Other questions:
  • The table shows how many of
    8·1 answer
  • What is the equivalent fraction of 56/8
    12·2 answers
  • A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad
    5·1 answer
  • What is the diameter of this circle if the circumference is 18x inches?
    11·2 answers
  • You sold 60 units of candy. The amount
    6·1 answer
  • I need help with this question ( see image). Please show workings.​
    5·1 answer
  • Pls answer quick rjwejriwejriwekr
    14·2 answers
  • How do I find the volume of a cylinder with a missing variable ​
    8·1 answer
  • Find the domain of f(x) = 2x for the range {-8, 4, 12, 20).
    5·1 answer
  • Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!