if y=3x^(4 ) .find the approximate percentage increase in y when x increase by 2(1/2)%.


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Question Number 32760 by Rio Mike last updated on 01/Apr/18

$if y = 3 x^{4} . f i n d t h e a p p r o x i m a t e p e r c e n t a g e$ $i n c r e a s e i n y w h e n x i n c r e a s e b y 2 \frac{1}{2} % .$
	Answered by MJS last updated on 02/Apr/18

	$\frac{f (x)}{f (x)} = \frac{3 {(1.025 x)}^{4}}{3 x^{4}} = 1 . 025^{4} =$ $= 1.10318 . . .$ $\approx 10 . 32 %$
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