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|dw:1350689236706:dw|

how do you get the answer or solve it?

i do not understand this problem or how to approach it to solve it

can someone help me

|dw:1350690450622:dw|

you can express the triangle as 7^2 + x^2 =r^2

then what will x be and would r will stand for rate rigth

\[\frac{ dr }{ dt } = -10ft/\min\]\[\frac{ dx }{ dt }|_{r=100}\]

I'm just calling r the length of ROPE

so the equation 7^2+x^2=r^2 will be dr/dt=2x+2r

when we differentiate 7^2 + x^2 =r^2, we will get:
49 + 2x* dx/dt = 2r* dr/dt

then i pug in 100 for r and 10 for x in the equation

no, dr/dt = -10 ft/min.. we don't know what x is

49 +2x=2(100)= will = x is 75.5

no, we don't solve for x as x is always changing. that is essentially what the question is asking.

so then how do i approach then

do i solve for 1 equation then the 2 one

dx/dt=2r*dr/dt-49/2x

no, it shouldn't be that big

you must have typed it in wrong in your calculator

-10.27

thanks

you're very welcome