Answered respectively;
1) 0.13514
2) 0.125
As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
Their frequencies are 1, 3, 2, 10, 2, and 1.
Add them together and you have 19 sloth sightings.
The equation of a circle with center at (h,k) is
(x-h)^2+(y-k)^2=radius^2
given
(x-(-1))^2+(y-3)^2=9
center is (-1,3)
first option
