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vovikov84 [41]
3 years ago
9

Show that the maximum rate of change, with respect to radius, of the volume of a deflating balloon is four times the sphere's in

itial great circle circumference
Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

Step-by-step explanation:

Let's say R is the initial radius of the sphere, and r is the radius at time t.

The volume of the sphere at time t is:

V = 4/3 π r³

Taking derivative with respect to radius:

dV/dr = 4π r²

This is a maximum when r is a maximum, which is when r = R.

(dV/dr)max = 4π R²

This is 4 times the sphere's initial great circle area, but not the great circle circumference.  The problem statement contains an error.

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Answer:

y = (-3/7)x + 2

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

all you need to do is plug the values into the equation! :)

since your slope is (-3/7), plug that in for m.

y = mx + b ⇒ y = (-3/7)x + b

and since your y-intercept is 2, plug that in for b.

y = (-3/7)x + b ⇒ y = (-3/7)x + 2

therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.

<em>don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.</em>

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Two functions are shown below function A and function B HURRY PLSSS (100 POINTS)
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Step-by-step explanation:

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Ede4ka [16]

Answer:

5x - y + 38 = 0

Step-by-step explanation:

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