Consider the parametric curve

Question

Consider the parametric curve:

x = 64−t^(2) ,

y=t^(3)−16t

At which t value(s) is the tangent to this curve vertical? ( Note: If there is more than one write them as a comma separated list)

t= ?

Write the point(s) at which the tangent is vertical.( Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))

Answer = ?

At which t value(s) is the tangent to this curve horizontal? ( Note: If there is more than one write them as a comma separated list).

t= ?

Write the point(s) at which the tangent is horizontal.( Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))



Answer = ?

.

Use a graphing device to graph the curve and check your work.

Answer 1