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Fiesta28 [93]
3 years ago
14

Would you be able to help me with x variables​

Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

1

Step-by-step explanation:

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If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate (in cm/min) at which the diameter d
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Answer:

0.0221 cm/min

Step-by-step explanation:

Surface area of a snowball:

An snowball has a spherical format.

The surface area of an sphere is given by:

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In which r is the radius(half the diameter). So in function of the diameter, we have that:

A = 4\pi (\frac{d}{2})^2 = \pi d^2

Implicit derivative:

To solve this question, we need to find the implicit derivative of A in function of t.

The variables are A and d, so:

\frac{dA}{dt} = 8\pi d \frac{dd}{dt}

Its surface area decreases at a rate of 5 cm2/min

This means that \frac{dA}{dt} = -5

Find 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{dA}{dt} = 8\pi d \frac{dd}{dt}

-5 = 8\pi*9 \frac{dd}{dt}

\frac{dd}{dt} = -\frac{5}{72\pi}

\frac{dd}{dt} = -0.0221

This means that the diameter decreases at a rate of 0.0221 cm/min when the diameter is 9 cm.

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Step-by-step explanation:

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4 years ago
2. Solve. x2 - 72 = 0
Effectus [21]

Answer:

x = ± 6\sqrt{2}

Step-by-step explanation:

Given

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7 0
3 years ago
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