1- The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line.
a(t)= t+6, v(0)=3, 0≤ t≤ 10
a- Find the velocity at time t.
v(t)= ? m/s
b- Find the distance traveled during the give time interval
2- Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.
y= 9 sin(x), 0≤x≤π
3- Find the general indefinite integral. (use C for the constant of integration.)
∫ (x^1.6 + 9x^3.5)dx