The graph r(t)=<t-3/2sin(t),t-3/2cos(t),t> . For which values of t is the curvature largest?
3 answers
I would suggest putting the equation into "desmos" or some other graphing software and obtaining your answer. THEN you can go back to your notes and see how the graph matches up with the equation : )
Is this problem can only be solved by calculator or also by hand and what other graphing software? All I have is a Ti84 calculator.
Recall that for parametric curves,
K = (x'y" - y'x")/(x'^2 + y'^2)^(3/2)
So, plug in your x and y values and find K, then find where dK/dt = 0
Come back if you get stuck, and show what you got.
K = (x'y" - y'x")/(x'^2 + y'^2)^(3/2)
So, plug in your x and y values and find K, then find where dK/dt = 0
Come back if you get stuck, and show what you got.
1 answer