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70 Suppose the demand function for x thousand of a certain item is p = 110+ In y , where x > 1 and p is in dollars. (a) Find the marginal revenue. (b) Find the revenue from the next thousand items at a demand of 8000 (x = 8). (a) The marginal revenue function is R'(x) =. (Use integers or fractions for any numbers in the expression.) The function V(t) models the relationship between the volume of a tumor and the amount of time it has been growing, where t is in months and V(t) is in cubic 1200 V(t) = centimeters. (1+ 1025e - 0.02412 1) 4 Answer the following questions in parts (a) through (d). (a) Find the tumor volume at 230 months. The volume of the tumor at 230 months is cm3. (Type an integer or a decimal. Round to four decimal places as needed.) K Iff( x ) = @ 3X , find F/ In ( 3 ) ] [ m (3) = (Type an integer or a fraction.) The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be approximated by K f(t) = 10310-1/3t, where t = 0 corresponds to the year 2000. (a) Find f'(t). (b) At what rate was the GNI changing in 2000? (c) Repeat part (b) for 2006 (a) f'(t) =