In: Math
1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t) + t ^ 2 + 7. Find the speed of the particle when its acceleration is zero.
2.Approximate the area bounded by the graph of y = -x ^ 2 + x +
2, the y-axis, the x-axis, and the line x = 2.
a) Using Reimmann sums with 4 subintervals and the extreme points
on the right.
b) Using Reimmann sums with 4 subintervals and the extreme points
on the left.
Submit the sum of parts a) and b) in response.