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Inessa [10]
3 years ago
14

Can the mean value theorum be applied to the function f(x)=1/x^2 on the interval [-2, 1]? Explain.

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

No, it can not be applied.

Step-by-step explanation:

f(x) = 1/x²

f(x) is a polynomial that is not continuous

As,

f(x) = 1/0 is undefines

Secondly, it is not differentiable (i.e. the derivative does not exists on the interval given)

Derivative of this function

f'(x) = (1)x^-2

       = -2x^(-2-1)

       = -2x^(-3)

       = -2/x³

      =  -2/x³

f'(0) = -2/0 is undefined

Thus, mean value theorem can not be applied.

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4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
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The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
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3 years ago
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The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame
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The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
             Area = Length x Height
              Area = (20 in) x (14 in) 
              Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
         Difference = 280 in² - 192 in²
               difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
      height = 20 in - 2x
      length = 14 in - 2x

The area,
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Simplify the right hand side of the equation.
             88 = 280 - 68x + 4x²

Divide the equation by 4,
            22 = 70 - 17x + x²

Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

Thus, the thickenss is equal to 58.2 in
5 0
3 years ago
1 + 69 - (6x+4) x 2 = ?
Afina-wow [57]

Answer is: -12x + 62

8 0
3 years ago
Question #10 Evaluate the expression: 18-3(1+4)
Mashutka [201]

Answer:

18-3-12

15-12

3 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

4 0
2 years ago
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I need the answer to #3
algol [13]

Answer:

I think its b but im not sure

Step-by-step explanation:

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