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marissa [1.9K]
3 years ago
9

What is the smallest fraction between 1/2

Mathematics
1 answer:
ki77a [65]3 years ago
4 0
What do you mean by this?
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Simplify 4.51^0 - which is it?<br> 4.51 ?<br> 1 ?<br> 0 ?<br> -1 ?
koban [17]

Answer:

1

Step-by-step explanation:

{(4.51) }^{0}  = 1

hope this helps you.

5 0
3 years ago
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
  • f(x) must be differentiable in (a,b).

To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

#SPJ4

8 0
2 years ago
The sum of 5.9 and -7.2 is <br>positive <br>zero <br>negative​
Thepotemich [5.8K]

Answer:

Negative

Step-by-step explanation:

It would be -1.3. Because you know? You add?

4 0
3 years ago
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if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?
Lelu [443]

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6 days

Step-by-step explanation:

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2 years ago
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Lindsey’s cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How muc
Xelga [282]

Answer:

3/4 cups

Step-by-step explanation:

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3 years ago
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