If W varies jointly as L and the square of R. Find the percentage change in W if L increases by 20% and R increases by 50%. If W=15 when H=3 and R=2(1/3). find W when H=1 and R=10. Find also W interms of H and R.


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Question Number 139959 by Engr_Jidda last updated on 02/May/21

$I f W v a r i e s j o i n t l y a s L a n d t h e$ $s q u a r e o f R . F i n d t h e p e r c e n t a g e$ $c h a n g e i n W i f L i n c r e a s e s b y 20 %$ $a n d R i n c r e a s e s b y 50 % .$ $I f W = 15 w h e n H = 3 a n d R = 2 \frac{1}{3} . f i n d$ $W w h e n H = 1 a n d R = 10 .$ $F i n d a l s o W i n t e r m s o f H a n d R .$
	Answered by TheSupreme last updated on 02/May/21

	$w = {k l r}^{2}$ $w^{'} = k (1.2 l) {(1.5 r)}^{2} = 1.2 \times 2.25 {k r l}^{2} = 2.7 w$ $\frac{w^{'}}{w} \times 100 = 270 %$ $a s s u m i n g 2 \frac{1}{3} = \frac{7}{3}$ $15 = k 3 {(\frac{7}{3})}^{2} = k \frac{49}{3} \to k = \frac{45}{49}$ $W = \frac{45}{49} \times 1 \times 10^{2} = \frac{4500}{49} = 91.8367 . . .$
	Commented by Engr_Jidda last updated on 02/May/21

	$t h a n k y o u s i r$
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