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 someone help me solve this ... please
lana66690 [7]

Answer:

t>28

Step-by-step explanation:

work is shown and pictured

4 0
3 years ago
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a
Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×\frac{3}{2}=\frac{22.2}{2}=11.1

The price of oil in March will be $11.10 per gallon.

6 0
3 years ago
What is the nearest whole percent of 40
vova2212 [387]
I think it’s 40 i’m not sure tho
8 0
3 years ago
Read 2 more answers
Combine these radicals<br> 3✓2 - 5 ✓2. BRAINLIEST
AnnyKZ [126]

Answer:

O -2√2

Step-by-step explanation:

= 3√2 - 5√2

= √2 ( 3-5 )

= -2√2

8 0
2 years ago
Read 2 more answers
Plz help me get this right
tresset_1 [31]

Answer:

the pic is blocked

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following are solutions to the equation below (5x+1)^2=7?<br><br> Check all that apply.
    14·2 answers
  • I NEED HELP NOW WHAT IS 2+2
    12·2 answers
  • F(x)=-3(5)^x;x=3<br> What is the answer step by step
    6·1 answer
  • A particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri di
    10·2 answers
  • Y is more than half of x
    12·1 answer
  • Solve the equation for x. <br><br> -2 - <br> 3<br> 4<br> x = 10
    15·1 answer
  • Which of the above objects is moving the fastest?
    9·1 answer
  • a person can pay $27 for a membership to the science museum and then go to the stamp for just $1 per visit what is the maximum n
    9·1 answer
  • Alphabet has how many letters?
    15·2 answers
  • A two-digit integer is randomly selected. What is the probability that its digits are
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!