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ra1l [238]
3 years ago
7

What is the domain of F(x)=√x ? (PLEASE HELP ASAP)

Mathematics
1 answer:
leva [86]3 years ago
5 0

Option C. all real numbers greater than 0 is the correct answer

Further explanation:

Domain is the set of all inputs on which the function is defined or real.

The given function is:

f(x)=\sqrt{x}

As the function involves a square root, we have to avoid negative numbers.

  • All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
  • If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number

So the domain will only include positive real numbers.

Hence, Option C. all real numbers greater than 0 is the correct answer.

Keywords: Domain, Domain of radical functions

Learn more about domain at:

  • brainly.com/question/3511750
  • brainly.com/question/3852778

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Alenkasestr [34]
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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d
grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

S_{a} = \pi d^2

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}

Surface area decreases at a rate of 3 cm2/min

This means that \frac{dS_{a}}{dt} = -3

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is \frac{dd}{dt} when d = 9. So

\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}

-3 = 2*9\pi\frac{dd}{dt}

\frac{dd}{dt} = -\frac{3}{18\pi}

\frac{dd}{dt} = -0.053

The diameter decreases at a rate of 0.053 cm/min.

7 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

:)

8 0
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Read 2 more answers
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