Aparticle moves on x-axis blah its initial position is x(0)=27 and velocity is v(t)=4t^3-30t^2+72t-54 on the time interval 0
a) write an expression for the position function (general)
t^4-10t^3+36t^2-54t+c
b) when does the particle change direction?

c) find t when particle is moving to the right

d) find velocity when acceleration is 0.
ez, don't need for this one.

b) The particle changes direction when its velocity changes sign. Use the first derivative test to find the critical points:

Then for , we have ; for , we have ; and for , we have again. These three facts indicate that the velocity only changes once at .

c) Pick "to the right" to be the positive direction. Then you need to find where . We already did that above and found for .

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

18.8cm hope i at all

step-by-step explanation: