Calculus Questions


Answers with no supporting work will get no credit.

1) Consider an object moving along a line with the given velocity, LaTeX: v\left(t\right)=4t^3-24t^2+20t\:on the interval LaTeX: \left[0,5\right]\: . Assume time is measured in seconds and velocity in meters per second.

a) Determine when the motion is in the positive direction and when it is in the negative direction.

b) Find the displacement over the given interval.

c) Find the distance traveled over the given interval.

2) Find the area of the region bounded by LaTeX: x=y^2-4\:and\:y=\frac{x}{3}