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disa [49]
3 years ago
11

Pls list out the steps

Mathematics
1 answer:
Daniel [21]3 years ago
5 0
First, the bigger square's area is 20*20= 400 cm^2

second, the circle's area is ¶r^2 = ¶(20/2)^2 = ¶(10)^2 = 100¶ cm^2

third, smaller square-- if we imagine it as 4 parts as 4 right triangles-- 1 part will be 1/2*(20/2)(20/2) = 1/2 (10)(10) = 50 cm^2 then the area of the smaller square is 4*50 = 200 cm^2

so the shaded parts = circle - smaller square =100¶ - 200 cm^2

the answer is 2

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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

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looking for critical points,

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We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
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Then apply your Zero-Factor Property,

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Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

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Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
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