Given-that-y-3x-4-and-x-increases-at-the-rate-of-34-find-the-percentage-increase-in-y-hint-using-Bionomial-method-

Question Number 39171 by Rio Mike last updated on 03/Jul/18

G i v e n t h a t

y = 3 x^{4} a n d x i n c r e a s e s

a t t h e r a t e o f 34 % .

f i n d t h e p e r c e n t a g e i n c r e a s e

i n y .

[h i n t : u s i n g B i o n o m i a l

m e t h o d]

Answered by MrW3 last updated on 03/Jul/18

y (1 + β) = 3 x^{4} {(1 + α)}^{4}

β = {(1 + α)}^{4} - 1 = 4 α + 6 α^{2} + 4 α^{3} + α^{4}

w i t h α = 0.34

\Rightarrow β = 2.22 = 222 %

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