Menu Close

Three-variables-u-v-and-w-are-related-such-that-u-varies-directly-as-v-and-inversely-as-the-square-of-w-If-v-increases-by-15-and-w-decreased-by-10-find-the-percentage-change-in-u-




Question Number 38636 by pieroo last updated on 27/Jun/18
Three variables u,v and w are related such that  u varies directly as v and inversely as the square of   w. If v increases by 15% and w decreased by 10%,  find the percentage change in u.
Threevariablesu,vandwarerelatedsuchthatuvariesdirectlyasvandinverselyasthesquareofw.Ifvincreasesby15%andwdecreasedby10%,findthepercentagechangeinu.
Answered by MrW3 last updated on 28/Jun/18
u=k(v/w^2 )  v_2 =1.15v_1  (increase by 15%)  w_2 =0.90w_1  (decrease by 10%)  u_2 =k((1.15v_1 )/(0.90^2 w_1 ^2 ))=((1.15)/(0.90^2 ))×k(v_1 /w_1 ^2 )=((1.15)/(0.90^2 ))u_1 =1.42u_1   ⇒u increases by 42%.
u=kvw2v2=1.15v1(increaseby15%)w2=0.90w1(decreaseby10%)u2=k1.15v10.902w12=1.150.902×kv1w12=1.150.902u1=1.42u1uincreasesby42%.
Commented by pieroo last updated on 28/Jun/18
Thanks Sir.
ThanksSir.

Leave a Reply

Your email address will not be published. Required fields are marked *