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
goblinko [34]
3 years ago
9

Decide whether Rolle's Theorem can be applied to f(x) = x2 + 5 on the interval [0, 3]. If Rolle's Theorem can be applied, find a

ll value(s) of c in the interval such that f ′(c) = 0.
Rolle's Theorem can be applied; c = negative one half
Rolle's Theorem can be applied; c = 0, 3
Rolle's Theorem cannot be applied because f ′(c) ≠ 0
Rolle's Theorem cannot be applied because f(0) ≠ f(3)
Mathematics
1 answer:
kap26 [50]3 years ago
7 0
F(x)= x² + 5, is just a parabola shfited upwards by 5 units, so, is a smooth graph and no abrupt edges, so from 0 to 3, is indeed differentiable and continuous.  So Rolle's theorem applies, let's check for "c" by simply setting its variable to 0, bear in mind that, looking for "c" in this context, is really just looking for a critical point, since we're just looking where f'(c) = 0, and is a horizontal tangent line.

\bf f(x)=x^2+5\implies \cfrac{df}{dx}=2x\implies 0=2x\implies \boxed{0=x}\leftarrow c
You might be interested in
Please please help!!!!!!
Vlad1618 [11]

Answer:

5/2

Step-by-step explanation:

duh

6 0
2 years ago
Read 2 more answers
21 is 84 percent of what number
marysya [2.9K]
Let the required no. be x then according to question
(84/100)*x = 21
x = 21*(100/84)
x = 2100/84
x = 25


hence the required no. is 25


hope it helped
5 0
3 years ago
Help ! solve the following system of equations <br><br> -9x+2y=-13<br><br> 2x-9y=20
Stella [2.4K]

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

2(13/9+2/9y)-9y=20

<em>Substitute y with -2.</em>

<em />

x= 13/9+2/9(-2)

<em>After solving you'll see that 1 is a possible solution for x.</em>

<em />

Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

-13 = -13

20 = 20

Therefore, x=1 and y=-2

5 0
2 years ago
What do i do next please
emmasim [6.3K]
Now subtract, then add.
4 - 2 = 2 then add 12. 
2 + 12 = 14.

Answer is 14.
4 0
3 years ago
Read 2 more answers
Write an inequality to represent the phrase: The sum of a number and 6 is no less than 31.
Nastasia [14]

Answer

6+x=31 0r 6+ x = <31

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 50 points if you can solve!!!!!!!!!!!!! ~URGENT~
    15·1 answer
  • How do I convert 82.1, 7.3, 9.3 in a fraction form
    15·1 answer
  • Find the values of x and y.<br> No calculator needed.<br> Leave ✓ as a part of your answer.
    13·1 answer
  • Simplify
    7·1 answer
  • Which of the following items may be a good consideration in selecting a bank?
    5·2 answers
  • Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights
    7·1 answer
  • The sides of a triangle are x, x+7, and 2x-8. If the perimeter of the triangle is 47, what is x
    12·1 answer
  • D/12 = 0.25 bbhhgshdhrjrhfbbdb
    9·1 answer
  • An 80% confidence interval for a proportion is found to be (0.27,0.33). What
    7·1 answer
  • Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!