3 years ago

Please Help!!!!! Prove that polynomials are not closed under division.

1 answer:

5 0

Polynomials are not closed under division. When you divide polynomials it is possible to get quotients with negative exponents or with fractions that have exponents in the denominator, and neither of these could be included in polynomials.

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Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

Step-by-step explanation:

Given: For lid of the spherical shaped bottle,

Diameter = 5 cm

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Volume of cone = $\dfrac13\pi r^2 h$

Volume of lid $=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3$

Surface area of cone = $\pi r\sqrt{h^2+r^2}$ [as lide has no base we don't include area of base.]

Surface area of lid = $(3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3$

Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

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