## anonymous one year ago V^2=2gh use calculus, if g increase by 5% and h decrease by 10% find the percentage change in V

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1. zepdrix

@ganeshie8 hmm

2. anonymous

??

3. anonymous

calculus?

4. anonymous

yes

5. anonymous

then i must be reading this wrong

6. anonymous

take log and differentiate dh is delta H the you can use percentages

7. anonymous

then*

8. anonymous

i get $V^2=2(1.05)g(1.1)h$

9. anonymous

can you do it out

10. anonymous

because i really dont know how to write it out

11. anonymous

if g increase by 5%$g\to 1.05g$

12. anonymous

yep but how to do it in calculus

13. anonymous

i think i do not understand this question, so i will be quiet

14. anonymous

oooh maybe it is this $2VV'=2(hh'+gg')$ then plug in $$h'=.05,g'=1.1$$ does that seem reasonable?

15. welshfella

g is decreasing so it think that would be g'= 0.90

16. anonymous

h0.9 and g 1.05?

17. welshfella

sorry h' = 0.90

18. anonymous

oh right i read it wrong sorry

19. anonymous

hmm not sure about that though, since $$h'$$ is the rate of change in my original method, yes, but here i guess $$h'=-.1$$

20. anonymous

2 log V = log g + log h differentiating $2\Delta V / V = \Delta g /g + \Delta h /h$

21. anonymous

del g /g = 0.05 and del h / h = 0.1