Can these be answered written by hand instead of texted

1. (3 points) Find the area of the region enclosed by the graphs of f(x) = In (x], g(x) = 1, and h(x) = -1. 2. (3 points) Sand flows from the top half of a conical hourglass to the bottom half. The top half has the shape of the graph y = [x| rotated about the y-axis. When the top half contains sand to a depth of h units, it flows out through a hole in the bottom half at a rate (volume/time) proportional to h, with constant of proportionality 3. Show that the sand level falls at a constant rate. 3. (4 points) Probability theory tells us that if the rate at which an event occurs is 1, then the probability that X (the time between the (k - 1)th and kth events) is between a and b is given by Akok-le-AI P(a