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leannaadrian
01.10.2019 •
Mathematics
Acylinder has a radius of 5x+2 and a height of 4x+8. which polynomial in standard form best describes the total volume of the cylinder? use the formula v=pr^2h for the volume of a cylinder.
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Ответ:
V = π.r^(2).h
As r = 5x + 2
And,
h = 4x + 8
Then,
V = π . (5x + 2)^(2) . (4x + 8)
Ussing the sum of perfect square
(5x +2)^2 = 25x^2 + 20x + 4
Then,
V = π(25x^2 + 20x + 4).(4x + 8)
Making the distributive
V = π( 100x^3+200x^2+80x^2+160x+16x+32)
V = π( 100x^3 +280x^2+176x+32)
V = 2π.( 50x^3 + 140x^2 + 88x+16)
V = 4π.( 25x^3 + 70x^2+44x+8)
Ответ:
-i
Step-by-step explanation:
Given are two complex numbers as
To find quotient
We can use Demoivre theorem for products and quotients here
Quotient would be equal to
Hence quotient = -i