If a function s (t )gives the position of a function at time t, the derivative gives the velocity, that is, v (t )equalss prime (t ). For the given position function, find (a) v (t )and (b) the velocity when tequals0, tequals5, and tequals8.

a)

b)

We just need to replace the different values of t and see what we got:

t=0,

t =5,  

t=8,

Step-by-step explanation:

Assuming this complete question: "If a function s (t )gives the position of a function at time t, the derivative gives the velocity, that is, v (t)=s'(t ). For the given position function, find (a) v(t) and (b) the velocity when t=0, t=5, and t=8.

"

Part a

The velocity is defined as

And if we derivate the position we got:

Part b

Since we have the function for the velocity:

We just need to replace the different values of t and see what we got:

t=0,

t =5,

t=8,

a) 32pie square meters

step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1