parametric

Question 1

parametrically in terms of theta

For a circle, centre (0, 0) and radius r
x =
y =

Answer 1

x = rcos θ

y = rsin θ

Question 2

For a circle, centre (a, b) and radius r
x =
y=

Answer 2

x = rcos θ + a
y = rsin θ + b

Question 3

parametrically in terms of t and x

At vertical (parallel to y-axis) tangents, _____ = 0

Answer 3

dx/dt = 0

Question 4

At horizontal (parallel to the x-axis) tangents, …… = 0

Answer 4

dy/dt

Question 5

How to integrate parametric curve

Answer 5

R=∫ ((y)(dx/dt)) dt

Make sure to change Bounds in terms of t