🦉
AI Tutor
Explore
People
Courses
Pricing
Sign in
Sign up
Parametric Curves
Position by time — path and slope · BC Calculus · greeting
Interview mode
Show Sparrow model answer
00:00
Mute
End interview
select
rect
note
arrow
text
clear
x = x(t), y = y(t)
Plot points by t
Trace the path
dy/dx = y′/x′
(when x′ ≠ 0)
speed = √(x′²+y′²)
Eliminating t is optional — not mandatory
Owl:
We'll plot a few points by t, compute dy/dx carefully, and respect zeros of dx/dt.
You:
—