If I were to do this problem, I would first:Hello, I have been at this problem for days now I am don’t know how to solve with calculus, I am supposed to solve how calculus can be applied here ;-;. Help and a thorough explanation would be greatly appreciated. Thank you! View attachment 27810
Thai’s is what I have so far:Hello, I have been at this problem for days now I am don’t know how to solve with calculus, I am supposed to solve how calculus can be applied here ;-;. Help and a thorough explanation would be greatly appreciated. Thank you! View attachment 27810
Make a sketch, label fixed and variable lengths, then set up an equation using a trig ratio.
Differentiate implicitly w/respect to time.
Thank you[MATH]\theta[/MATH] is a variable.
[MATH]\cot{\theta} = \dfrac{x}{5000}[/MATH]
Take the derivative w/respect to time, then substitute the given values for [MATH]\theta[/MATH] and [MATH]\frac{d\theta}{dt}[/MATH].
Finally, solve for [MATH]\frac{dx}{dt}[/MATH].
Thank youThe angle is NOT pi/4! The angle is changing! You are giving information about when the angle is pi/4.
Set up your equation with the angle being say theta, not the constant pi/4. See where you can go from there.
This is what skeeter suggested.