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Harrizon [31]
3 years ago
6

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Mathematics
1 answer:
Brut [27]3 years ago
4 0
Hmmmmmmm hmmmmmmm hmmmm
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Step-by-step explanation:

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The height h of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the funct
Vika [28.1K]

Answer:

D) h(3)-h(0)/3

Step-by-step explanation:

The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.

The height in the 3rd second would be given by h(3).  The original height would be given by h(0).  The change in output values would be given by h(3)-h(0).

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h(3)-h(0)/3

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3 years ago
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A differentiable function f has the property that f(x + y) = f(x) + f(y) 1 − f(x)f(y) holds for all x, y in the domain of f. It
Fantom [35]

Answer:

f'(x) = 5[1 + f²(x)]

Step-by-step explanation:

By definition, f'(x) = lim h => 0 {[f(x + h) - f(x)]/h}

This was used, together with the given limits:

lim x => 0 f(x) = 0

lim x => 0 f(x)/x = 5,

to determine the derivative of the given function:

f(x + y) = [f(x) + f(y)]/[1 - f(x)f(y)].

The workings are shown in the attachments.

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