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Margaret [11]
3 years ago
9

Changing Volume If each edge of a cube is increasing at the constant rate of 3 centimeters per second, how fast is the volume in

creasing when x, the length of an edge, is 10 centimeters long?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3.  I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
     dV = 600 cm per second
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Goryan [66]

Given:

The function is:

f(x)=4x^5-8x^4+8x^2-4x

To find:

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Solution:

We have,

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For roots, f(x)=0.

4x^5-8x^4+8x^2-4x=0

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On further simplification, we get

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Using zero product property, we get

4x=0

x=0

Similarly,

x+1=0

x=-1

And,

(x-1)^3=0

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Therefore, the zeroes of the given function are -1,0,1 and the factor form of the given function is f(x)=4x(x+1)(x-1)^3.

6 0
3 years ago
Rose’s Ringlets, a national hair salon, pays the following in employee benefits each pay period: $700 for health care, 10% of gr
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Answer:

D $1298

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4 0
4 years ago
Read 2 more answers
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chubhunter [2.5K]

Answer:

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Hope it helps :)

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