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Mathematics

1 answer:

kondor19780726 [428]3 years ago

3 0

Answer:

omg tanks u so much ^-^

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Rae planted a square garden that covers an area of 200 ft.² how many feet of fencing does he need to surround the garden

inessss [21]

To find this, first we have to find the square root of 200, which is about 14.14

Now we multiply 14.14 * 4 = 56.56

So Rae will need about 56.56 feet of fencing to surround the garden.

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Sketch each line and find the slop and Y-intercept

Anon25 [30]

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a 35 foot wire is secured from the top of a flagpole to a stake in the ground if the stake is 14 feet from the base of the flagp

zzz [600]

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A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$