Calculus Problems Related Rates
Complicated calculus problem – related rates?
Hey calc freaks, I’m having some trouble with this question…
The top of a 5 m wheeled ladder rests against a vertical wall. If the bottom of the ladder rolls away at 1/3 m/s, how fast is the top of the ladder sliding down the wall when it is 3m above the base of the wall?
Thanks!
a=4
da/dt=1/3
b=3
db/dt=?
c=5
dc/dt=0, c is constant
using pythagorean theorem
a=4
a²+b²=c², take the derivative with respect to time
2a(da/dt) + 2b(db/dt) = 2c(dc/dt)
2(4)(1/3)+2(3)(db/dt)=2(5)(0)
8/3 + 6(db/dt)=0
db/dt= 4/9 m/s
How to solve related rate calculus word problems
Hmm it appears like your site ate my first comment (it was super long)
so I guess I’ll just sum it up what I submitted and say, I’m thoroughly enjoying your blog.
I too am an aspiring blog writer but I’m still new to the whole thing. Do you have any tips and hints for novice blog writers? I’d certainly appreciate it.
I have to tell you that it’s hard to find your posts in google, i
found this one on 19 spot, you should build some quality
backlinks in order to rank your page, i know how to help you, just type in google
– k2 seo tips and tricks
Nice blog! Is your theme custom made or did you download it from
somewhere? A theme like yours with a few simple adjustements would really
make my blog stand out. Please let me know where you got your theme.
Appreciate it
Here is my site :: search