Suppose that a change in biomass b(t) at time t during the interval [0,10] follows the equation db db/dt (t)s cos dt t | for 0 sts 10, and that b(0)-80. use this information to answer parts a through d below. db (a) use the graphing tool to graph the function dt as a function of t. click to enlarge graph (for any answer boxes shown with the grapher, type an exact answer. type the word pi to insert the symbol a as needed.) let g(t) 2 sin (xt). compute the average value of g(t) over the interval,0 2 the average value is (type an exact answer, using π as needed.) suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land yields data points that follow a straight line with equation y 675.4-33.1x for 0sxs10, where x is the distance to the beginning of the transect. what is the average concentration of nitrogen in the soil along this transect? what expression involving a definite integral needs to be evaluated to calculate the average concentration of soil nitrogen? find the area of the region bounded by the curve y x21 and the line y-3. the area is find the area of the region bounded by the graphs of the given equations. the area is (type an integer or a simplified fraction.)