Recent content by scoobiedoober

Alrighty, thanks! I guess my system-of-equation solving skills were always limited to linear systems. I'll just have to keep my eyes peeled for these "what if" scenarios in the future. Or maybe if I just restart the whole process multiple times with me starting by solving a different variable in...

Homework Statement I seem to be struggling a bit to understand how my prof solved this problem...I think it might be my diminishing system of equation skills, so forgive me if this doesn't belong in the calc section. Use Lagrange multipliers to find all extrema of the function subject to...

No worries, even my professor with a PHD flubbed it up! Thank the lord for technology :p

Okay then I'll do it that way: (from before) v(t)=\langle -e^{-t},\sqrt{2},e^t \rangle |v|=e^{-t}+e^t (new) T(t)=\frac{v(t)}{|v|}=\langle \frac{-e^{-t}}{e^{-t}+e^t}, \frac{\sqrt{2}}{e^{-t}+e^t}, \frac{e^t}{e^{-t}+e^t}\rangle a(t)=\frac{d}{dt}v(t)=\langle e^{-t},0,e^t \rangle...

Homework Statement I was following through the notes I took in my Calc class, and either I wrote down the formulas incorrectly, my professor did this problem incorrectly, or I wrote the answer down incorrectly. I'm just going to redo it here, so could someone give me a thumbs up or thumbs down...

Alrighty, I'll give it a shot: \frac{(t^2+1)^2}{(t^2+1)^3}-\frac{2t^2(t^2+1)}{(t^2+1)^3}+\frac{t^4+t^2}{(t^2+1)^3} \frac{t^4+2t^2+1-2t^4-2t^2+t^4+t^2}{(t^2+1)^3} \frac{t^2+1}{(t^2+1)^3} \frac{1}{(t^2+1)^2} taking the square root, the entire equation is now...

Homework Statement Simplify the following: \frac{\frac{1}{\sqrt{t^2+1}}-t^2(t^2+1)^{-3/2}}{\sqrt{\frac{1}{t^2+1}-\frac{2t^2}{(t^2+1)^2}+\frac{t^4+t^2}{(t^2+1)^3}}} Homework Equations The answer in the book was: \frac{1}{\sqrt{t^2+1}} I didn't believe but then I graphed...