3rd exercise of a 5-part course.
Giving 100p for each. Total of 500p.
(Everything must have a procedure)
3.
According to parametric equations [tex]x=t^{2} -6t+8[/tex] & [tex]y=\frac{2t}{t^{3} +6t}[/tex] determine:
I.
The concavity equation
II.
The concavity in [tex]t=-1[/tex]
III.
The equation of the tangent line in [tex]t=-2[/tex]
IV.
The arc longitude in the interval [tex]-4\leq t\leq -1[/tex]
V.
The curve area in the interval [tex]-4\leq t\leq -1[/tex]