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mafiozo [28]
4 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]4 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.

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SVETLANKA909090 [29]
The answer would be 21 because the expression would be 24/6+17
7 0
3 years ago
Does the table represent a linear function? Explain why or why not
OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

<u>Linear Function </u>

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x      y

0     0

1      1

2     8

3     27

Slope= y/x

Slope = 0/0=0

slope = 1/1 = 1

slope = 8/2 = 2

slope = 27/3 = 9

The function represented is: y=x^3

Since the slope of points x and y in the table is not same, and its graph is not linear.

So, the table doesn't represent linear function

Keywords: Linear Function

Learn more about Linear function at:

  • brainly.com/question/13168205
  • brainly.com/question/12363217
  • brainly.com/question/4326955
  • brainly.com/question/1284310

#learnwithBrainly

4 0
3 years ago
0 ÷ 0 = 1
TEA [102]

Answer:

0/0 = undefined not 1

Step-by-step explanation: Undefined means there are no solutions possible for the operations in view. The example in question is itself wrong. n/0 is infinite but not undefined. 0/0 is undefined

7 0
3 years ago
Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
just olya [345]
The answe is the answer is 8
8 0
3 years ago
Use elimination to solve for x and y:
trapecia [35]

Answer:

x=3, y=2

Step-by-step explanation:

8 0
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