In numbers 5-7,
(a) make a table of values of t, x and y based on the specified intervals of the given parametic equations
(b) sketch the plane curve defined by the given parametic equations at the specified interval
(c) find dy/dx without eliminating the parameter t. simplify your answers
(d) find an equation such that the parameter t is eliminated
5. x=t²+1 and y=t³-2 for 0≤t≤2
6. x=sqrt(5t) and y=2t+2 for 0≤t≤5
7. x=cost and y=2-cos²t for 0≤t≤π
5.
(a)
(b)
(c)
(d)
6.
(a)
(b)
(c)
(d)
7.
(a)
(b)
(c)
(d)
Comments
Leave a comment