1 1 Determine the average value of x} over the interval from x: ate 3(2 b, where x]: ;, a = E' and l: =13. The average value is |:. (Type an exact answer.) A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after online sales began can be estimated by the equation below. Find the average weekly sales for the first 2 weeks after online sales began. S(t) = 3et The average weekly sales amount is $ (Round to the nearest cent as needed.)A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after online sales began, can be estimated by the equation below. Find the average weekly sales for weeks 2 through 7 (t = 1 to t = 7). S(t) = et The average weekly sales amount is $ (Round to the nearest cent as needed.)In a memory experiment, Alice is able to memorize words at a rate given by m'tt) = ULOIIDQ't2 + O.6t. In the same memory experiment, Ben is able to memorize words at the rate given by ME}: 0.003t2 + Ot. a) Who has the higher rate of memorization? V Ben Alice b] How many more words does that person memorize from t: O to t: 10 {during the first 10 minutes of the experiment)? I: more words [Simplify your answer.) A keyboarder's speed over a 6-min interval is given by the following function. where f; W{t) is the speed. in words per minute. at time t. we): 4t2+8t+96 a) :ind the speed at the beginning ofthe interval. b] Find the maximum speed and when it occurs. c) :ind the average speed over the Ei-min interval. a) The speed at the beginning ofthe interval is D words per minute. [Simplify your answer.) Find the area under the graph of f over the interval [ - 1,4]. x2 +6 Xs2 f(X) = 5x X >2 The area is 1. (Simplify your answer.)Find the area of the shaded region. 18- f(x) =8x - 2x2 - x3, g(x) =0 X CO -18- The area is (Type an integer or a simplified fraction.)