Recent content by vbplaya

hey could someone please help me to check if i did this correctly and got the right answer please? thanks A 4m long, 500kg steel beam extends horizontally from the point where it is bolted to the framework of a building. a 70 kg construction worker stands at the far end of the beam. what is...

relative motion. I've not a clue. OK I really need help with this problem. I don't even know where to start. If someone could just point me in the right direction, I'd appreciate it. I just need to know where to start. thanks. Ships A and B leave port together. For the next 2 hrs, ship A...

I just had a midterm for my calc class and there was this one question that I spent a good 20 minutes on and could not figure out. can someone help me with the solution please? lim x→0 (sin x²)/sin²x I can do it using l'hospital's rule, but that wasn't allowed :rolleyes:

I'm having a little trouble trying to figure out these problems. Any help would be appreciated. g(x) = (x^2 - a^2)/(x-a) when x≠a but 8 when x=a... how do i find the constant a so that the function will be continuous on the entire real line? f(x)= x^3 - x^2 + x - 2 on closed interval...

Hey, I just need help with these two statements about limits which happens to be my least favorite topic of calculus. I just need to know if they are true or false and why. If lim x→c =L, then f(c) = L. I don't think that is true because f(c) may not always equal L? or is the statement...

also for lim x→c f(x)= L >0. prove that there exists and open interal (a,b) containing c such that f(x)>0 for all x ≠ c in (a,b) do I just pick out numbers and plug them in? because I don't know what else to do.

i'm sorry, but i don't how u get from \frac{\sin(x)-\tan(x)}{x^3} to -\frac{\sin(x)}{x} \ \left(\frac{\sin\left(\frac{x}{2}\right)}{\left(\frac{x}{2}\right)}\right)^2 \ \frac{1}{2\cos(x)}

for the first one, I've tried to simplify sin x - tan x, but that didn't seem to work out.. and I don't know what else to try. and for the second one, I've got no clue where to start.

how do i find lim x→0 (sin x - tan x)/x³ without using l'hospital's rule? also, can someone explain this to me, because I don't understand it. given that lim x→c f(x)=L >0. Prove that there exists an open interval (a,b) containing c such that f(x) > 0 for all x ≠ c in (a,b).

nevermind. i figured it out.

Acceleration.. Need Help ! A speed skater moving across frictionless ice at 8 m/s hits a 5 m wide patch of rough ice. She slows steadily, then continues on at 6m/s. What is her acceleration on the rough ice? Please help. I don't know how to solve this.