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Consider the position function s(t) = sin (It) representing the position of an object moving along a line on the end ofa spring Sketch a graph ofs together with the secant line passing through (0 5(0)) and (0 8.5408" Determine the siope ofthe secant iine and explain its relationship to the moving object. Sketch the graph ofs together with the secant iine. Choose the correct graph below OA. OB. 1 . a i s a Q E'.' r D 15 Determine the siope of the secant line. htsec 2 (Round to the nearest thousandth as needed] What is the relationship of the slope to the velocity of the moving object? O A. The slope is the average velocity of the object over the interval [0.0.588]. O B. The slope is the instantaneous velocity when t= 0.0. O C. The slope is the maximum veiocity otthe object. O D. The slope is the average velocity of the object over the interval [0.0.3]. The function s(t] represents the position of an object at time [moving along a line. Suppose s(3}=104 and s(6]=146. Find the average velocity of the object over the interval oftime [3:6]. Choose the correct answer below. DA. 14 DB. 104 DC. 42 or). 23 Determine the following limits: using one or on when appropriate. or state that they do not exist. 2 2 2 b. Iim a. llm x45 _ #5 c. Iim :45 xtEi+ xHi X*5 a. Select the correct choice below ancl: if necessary. ll in the answer box to complete your choice. [a] t lim = (Simplify your answer.) [H] E. The limit cloes not exist and is neither op nor on. b. Select the correct choice below and. if necessary: ll in the answer box to complete your choice. 2 [:1 . lim x E = [Simplify your answer]: xr [:1 E. The limit cloes not exist and is neither one nor - one. c. Select the correct choice below and: if necessary. ll in the answer box to complete your choice. 2 [:1 . lime x E = [Simplify your answer.) xb [H] E. The limit cloes not exist and is neither be nor op