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In a study conducted in 2004, it was found that the share of online advertisement worldwide, as a percentage of the total ad market, was expected to grow at the rate of R(t) = 70.033t2 + 0.3632t+ 0.11 0 i t S 5 percent per year at time t (in years), with t = 0 corresponding to the beginning of 2000. The online ad market at the beginning of 2000 was 3.8% of the total ad market. (a) What is the projected online ad market share at any time t? sm = (b) What is the projected online ad market share [as a percentage} at the beginning of 2005? [Round your answer to two decimal places.) :% Amount of Rainfall During a thunderstorm, rain was falling at the rate of 4 v 3t - 32+3 (0 s t = 0.8) in./hr. (a) Find an expression giving the total amount of rainfall after & hr. Hint: The total amount of rainfall at t = 0 is zero. R(t) = in (b) How much rain had fallen after hr? (Round your answer to three decimal places.) 2 inRevenue Function The management of Lorimar Watch Company has determined that the clailyr marginal revenue function associated with producing and selling their travel clocks is given by R'(x} = 0.007x+ 11 wherex denotes the number of units produced and sold and R'(x) is measured in dollarsfunit. {a} Determine the revenue function R[X) associated with producing and selling these clocks. R(x) : {b} What is the demand equation that relates the wholesale unit price p with the quantity of travel clocks demanded? p: Consider the following. y = In(x