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SashulF [63]
3 years ago
11

Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-

separated list. If an answer does not exist, enter DNE.) f(x) = x , [0, 25]
Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

c is all the points in the open interval (0,25)

Step-by-step explanation:

Here given is a function

f(x) =x, which is continuous  in the interval [0,25] and differentiable in (0,25)

Mean value theorem says there exists at least one c in the interval (0,25) such that

f'(c) = \frac{f(25)-f(0)}{25-0}

We have

f(25)=25 and f(0) = 0\\f'(c) = 1

For the given function

f'(x) =1

Hence we have c equals all the points in the open interval (0,25)

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jek_recluse [69]

Answer:

Equation: y = \frac{7}{4} x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

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2 years ago
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Step-by-step explanation:

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3 years ago
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Which equivalent fractions can you use to find the difference of 5 and 3/13 and 1 and 4/9 ?
lbvjy [14]
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7 0
3 years ago
⦁ If we add 5 to the denominator and subtract 5 from the numerator of a fraction, it becomes . If we subtract 3 from the numerat
natima [27]

the complete question is

If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.


Let

x/y-----------> the fraction


we know that

(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1

(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2


equate equation 1 and equation 2

7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7


y=3x-12------> y=3*7-12-----> y=9

x/y=7/9


the answer is

the fraction is 7/9

5 0
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