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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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You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of ​$30 and you pay 90​% of t
docker41 [41]

The cost for plan A and plan B at a discount warehouse is $57 and $153 respectively.

<h3>Equation</h3>

Plan A:

  • Membership fee = $30

Manufacturer's recommended list price = 90%

= 90% × 30

= 0.9 × 30

= $27

Total cost of plan A = $30 + $27

= $57

Plan B:

  • Membership fee = $90

Manufacturer's recommended list price = 70%

= 70% × 90

= 0.7 × 90

= $63

Total cost of plan B = $90 + $63

= $153

Therefore, the cost for plan A and plan B at a discount warehouse is $57 and $153 respectively.

Learn more about equation:

brainly.com/question/2972832

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4 0
1 year ago
Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivi
Wewaii [24]

Answer:

Solteros= 27

Step-by-step explanation:

<u>Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.</u>

<u></u>

Primero, debemos calcular la cantidad de sobrevivientes:

Sobrevivientes= 120*0.3= 36

Ahora la cantidad de casados, y por diferencia los solteros:

Casados= 36*0.25= 9

Solteros= 36 - 9

Solteros= 27

7 0
3 years ago
A line crosses the x-axis at -7 and the y axis at 10. Is the slope of the line positive or negative?
nordsb [41]

The line is positive

The line is positive because it slants to the right.

It wouldve been negative if it slanted to the left.

3 0
2 years ago
Read 2 more answers
Which of the following shows a group of possible angles a triangle could have?
maw [93]

Answer:

<u><em>D) 50, 60, 70</em></u>

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

<u><em>Hope this helps</em></u>

8 0
2 years ago
Which expression is equivalent to x + y + x + y + 3(y + 5)?
elixir [45]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
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