Given that y = 3x^4 and x increases at the rate of 34% . find the percentage increase in y. [hint: using Bionomial method]


Question and Answers Forum

All Questions Topic List
Others Questions
Previous in All Question Next in All Question
Previous in Others Next in Others
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

	$y (1 + β) = 3 x^{4} {(1 + α)}^{4}$ $β = {(1 + α)}^{4} - 1 = 4 α + 6 α^{2} + 4 α^{3} + α^{4}$ $w i t h α = 0.34$ $\Rightarrow β = 2.22 = 222 %$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum