Polymers

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V
Vishal Baghel

Contributor-Level 10

Monomer of orlon is acrylonitrile CN

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V
Vishal Baghel

Contributor-Level 10

Let f (x) = x6 + ax5 + bx4 + ax3 + dx2 + ex + f

l i m x 0 f ( x ) x 3 = 1    Non zero finite

So, d = e = f = 0

f (x)  = x6 + ax5 + bx4 + cx3

l i m x 0 f ( x ) x 3 = 1 Non zero finite

f' (x) = 6 x 5 + 5 a x 4 + 4 b x 3 + 3 x 2

f' (1) = 0

6 + 5a + 4b + 3 = 0

5a + 4b = - 9 . (i)

f' (-1) = 0

-6 + 5a – 4b + 3 = 0 . (ii)

Solving (i) and (ii)

a  -3/5, b = -3/2

f ( x ) = x 6 + ( 3 5 ) x 5 + ( 3 2 ) x 4 + x 3

5 . f ( 2 ) = 1 4 4

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Vishal Baghel

Contributor-Level 10

Kindly consider the following figure

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V
Vishal Baghel

Contributor-Level 10

f ( x ) = a x 2 + b x + c  

g (x) = px + q

  f ( g ( x ) ) = a ( p x + q ) 2 + b ( p ) ( + q ) + c

? 8 x 2 ? 2 x = a ( p x + q ) 2 + b ( p x + q ) + c

Compare 8 = ap2 …………… (i)

-2 = a (2pq) + bp

0 = aq2 + bq + c

  9 ( f ( x ) ) = p ( a x 2 + b x + c ) + q

=>4x2 + 6x + 1 = apx2 + bpx + cp + q

=> Andhra Pradesh = 4 ……………. (ii)

6 = bp

1 = cp + q

From (i) & (ii), p = 2, q = -1

=> b = 3, c = 1, a = 2

f (x) = 2x2 + 3x + 1

f (2) = 8 + 6 + 1 = 15

g (x) = 2x – 1

g (2) = 3

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V
Vishal Baghel

Contributor-Level 10

Kindly consider the following figure

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A
alok kumar singh

Contributor-Level 10

Buna-S is the copolymer of butadiene and styrene, Nylon-6, 6 is the condensation polymer of adipic acid and diamine and having fibrous nature.

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R
Raj Pandey

Contributor-Level 9

Copolymer is the polymer formed by two or more monomers having multiple bonds.

Buna – S, PHBV and butadiene – styrene are copolymers. Neoprene is homopolymer.

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alok kumar singh

Contributor-Level 10

Kindly go through the solution

 

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