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marissa [1.9K]
3 years ago
12

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, 16]
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

C = 4

Step-by-step explanation:

solution:

f(x) can be differentiated on (0,16)

By mean value theorem

= f(16) = 4

= f(0) = 0

= f(b) - f(a)/b - a

= f(4) - f(0)/ f(16) - f(0)

= f'(c) = 1/2√C

= 1/2√C = 4/16

= 1/2√C = 1/4

= 4 = 2√C

= √C = 4/2

we make c the subject of the formula and also eliminate the square root

= √C = 2

= C = 2²

= C = 4

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Answer:

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Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He  has a height of 5.6 ft  and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

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x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

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Download docx
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