#2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell diameter x by the equation y = Calculate d²y ax2+bx+c' dx2 %3D

Page 6 of 7 7. [4] The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopy machine satisfy: . a) b) C'(t) = 2t² and 22 R' (t) = 5t² e-t³ Find the useful life of the machine, to the nearest year. Find the total profit accumulated during the useful life of the machine.

The solution for t of the equation e^t=x is A. t= x/e B. t=lnx-1ne C. t=1nx D. t=1nx/e

Parent Function y = log10x (x, y) VA x = Transformed Function y = -2log10 (x + 4) - 3 VA x =

Please determine the TIME at which the height of the sunflower is increasing most rapidly and the actual HEIGHT of the sunflower at that time. Differential Equations

Suppose the flow rate (in cubic feet per second, cfs) of a river in the first 11 hours after the beginning of a severe thunderstorm can be modeled as f(h) -0.875h3 12.05h2 - 7.95h 122.03 cfs where h is the number of hours after the storm began 0 andh = 11? (a) What were the flow rates for h f(0) f(11) cfs cfs 11. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) (b) Calculate the absolute extremes for the flow rates on the interval between h 0 and h absolute minimum cfs absolute maximum cfs