The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.
Find the average rate of change of h over the interval
[3, 6].

During the last three seconds of the objects' time in the air, it is
falling at an average rate of feet per second.

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).