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andreev551 [17]
3 years ago
13

PLEASE HELP ME PLEAESESES

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

Make a coordinate plane and you have to solve around the orgin say 4,4 and 4,1

Step-by-step explanation:

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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
A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
avanturin [10]

Answer:

Area =  \frac{3}{4} cm^2

Step-by-step explanation:

Given

Length =\frac{1}{2}\ cm

Width = 1\frac{1}{2}\ cm

Required

Determine the Area

Area is calculated as follows

Area = Length * Width

Substitute values for Length and Width

Area = \frac{1}{2} * 1\frac{1}{2}

Convert mixed fraction

Area = \frac{1}{2} * \frac{3}{2}

Area =  \frac{3}{4}

Hence, the area is

Area =  \frac{3}{4} cm^2

3 0
3 years ago
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two sna
Nataliya [291]

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

x tickets= 8x

x snacks= 4x

<em>Thank you! Btw can i please get brainly :3</em>

7 0
3 years ago
25. Solve for x:<br> 4x-3/2=5/3
Westkost [7]

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

6 0
3 years ago
Question 3 of 18
iren [92.7K]

Answer:

D. 0.74.

Step-by-step explanation:

It is a BINOMIAL trial, which means that there are only two outcomes: either success, or failure.

So, if the probability of success is 0.26, the probability of failure will be 1 - 0.26 = 0.74.

Hope this helps!

4 0
3 years ago
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