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
mafiozo [28]
3 years ago
10

Anyone help me? If f(x) is differentiable for the closed interval [−3, 2] such that f(−3) = 4 and f(2) = 4, then there exists a

value c, −3 < c < 2 such that
f(c) = 0
f '(c) = 0
f (c) = 5
f '(c) = 5
Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

You're using Rolle's theorem. This theorem states that, if a function is continous in [a,b] and differentiable in (a,b), and f(a)=f(b), then there exists a middle point c \in [a,b] such that f'(c)=0

In other words, if a continous and differentiable function starts and ends at the same height, then it has a maximum or minimum.

In your case, since the function is differentiable in the closed interval, it is also continuous in the closed interval (differentiability implies continuity), and also being differentiable in the closed interval obviously implies that the function is differentiable in the open interval. Also, you're given that the function evaluates to 4 at both extreme points, so the hypothesis of the theorem are granted.

You might be interested in
Tom and Jerry are hoping to be selected from their class of 27 as president and vice-president of the Social Committee (they jus
andrezito [222]

Answer:

(1/117). decimal is 0.008547(6 decimal places)

Step-by-step explanation:

Ok here u go

8 0
3 years ago
1. Solve the equation using the zero-product property.<br> -x(5x – 4) = 0
Oxana [17]

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

  • Here our a term is -x and our b term is (5x - 4)
  • Setting each term equal to zero and solving for x we get
  • -x = 0 → x = 0
  • 5x - 4 = 0 → 5x = 4 → x = 4/5

6 0
2 years ago
Question: "If y &gt; 3, what is the value of n ?"
iris [78.8K]

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

7 0
2 years ago
If m L=65, then m LJK=___ ????? PLS HELP ASAP
aleksandr82 [10.1K]

Answer:

50 degrees

Step-by-step explanation:

If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)

the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J

4 0
2 years ago
I will give you stuff if you answer correctly
Marianna [84]
I think is the 3rd sorry if I’m wrong
4 0
2 years ago
Other questions:
  • What Is the factored form of the polynomial p(x) shown here?
    8·1 answer
  • A Tv show had 3.5x10 to the 6th power viewers for their first episode and 8.5x10 to the 6th power viewers for their second episo
    6·1 answer
  • May someone help me out with this question please
    6·1 answer
  • Someone help me please. I need my work submitted by 4:00
    7·1 answer
  • Sam purchased 3 games for $140 after a discount of 30%. What is the original price
    13·1 answer
  • On a standard six-sided die, what is the probability of rolling an even number?
    12·2 answers
  • Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
    9·2 answers
  • Please help me with this please
    13·2 answers
  • What is the value of x? <br><br> I think it is 6 or 9. <br> Please help!!
    9·1 answer
  • The longer price of wood has dimensions of 2 inches by 2 inches by 8 inches the shorter piece of wood has dimensions of 4 inches
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!