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
marissa [1.9K]
3 years ago
6

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?

Mathematics
1 answer:
timama [110]3 years ago
4 0
The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )=  ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3 
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
          Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
You might be interested in
Can any one help me on this? this is on my math test due at 11:59.
andrezito [222]

Answer:

17.5 units

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem which states that a^2+b^2=c^2

Plug in what we know....

9^2+15^2=c^2

81+225=c^2

c=sqrt(306)

c=17.5

4 0
2 years ago
Read 2 more answers
We can and should control our thoughts. True False
Scrat [10]

Answer:

True

Step-by-step explanation:

Only we can control ourselves, but if something is coming in our head and we want to think of something else we can. It could be hard for some but you can with effort

Hope this helps (:

4 0
3 years ago
Given g(x) = -5x – 4, solve for x when g(x) = 1.
Pepsi [2]

Answer:

g (1) = -5(1) -4

-5-4

-9............. .......

8 0
3 years ago
Read 2 more answers
9^x=1/3<br><br> How much is x?
kumpel [21]

Answer:

x = -1/2

Step-by-step explanation:

This question can be solved by applying the laws of indices

In a^n, a - base

n - index

Given

9^x = 1/3

According to the laws of indices, a/b = b^(-a)

Hence we can write, 1/3 = 3^(-1)

9^x = 3^(2x)

Again according to the laws of indices,

a^b = a^n can be written as;

b = n

That is, if in an equation the bases are the same, the indices are also equal.

So we can write,

3^(2x) = 3^(-1)

2x = -1

Divide both sides of the equation by 2, the coefficient of x

2x/2 = -1/2

x = -1/2

6 0
3 years ago
(-2,3) and (-4,3) what is the units
zzz [600]
I think you mean what's the name of it,
they are called ordered points.
6 0
3 years ago
Other questions:
  • One number is eight more than twice another. If their difference is 25, what is the larger number?
    6·1 answer
  • line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the line
    6·1 answer
  • Please................
    6·2 answers
  • Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his start
    12·1 answer
  • when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at b
    8·1 answer
  • Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the t
    10·1 answer
  • What is the answer,??????
    7·1 answer
  • Find the value of x. what is the relationship of these 2 angles? set up and solve an equation
    6·1 answer
  • How do you simplify [3/5x-14] +[1/5x+18]<br>​
    14·1 answer
  • A pretzel stand at the state fair sells 3 pretzels for $6.75, 6 for $13.50,
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!