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Find the arc length of the following curve. 41/2 (t)= 1 +10, 3 , 2t +6 for 2 st= 6 The arc length is (Simplify
Find the arc length of the following curve. 41/2 (t)= 1 +10, 3 , 2t +6 for 2 st= 6 The arc length is (Simplify your answer. Type an integer or a fraction.)Determine whether the following curve uses arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = Cost, VZ cost, sint , for Ost=6 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. r(t) does not use arc length as a parameter. A description of the curve that uses arc length as a parameter is r(s) = for (Type exact answers, using radicals as needed.) O B. r(t) uses arc length as a parameter.Suppose a curve is described by r(t) = (Ah(t), Bh(t)) , for astsb, where A and B are constants and h has a continuous derivative. Complete parts a. through c. below. a. Show that the length of the curve is JAZ + B2 In'(t)| at. Choose the correct answer below. 3 b b b a b b b a b b b OC. L= (APW() + (BW() at= VAZ + BZ dt = VAZ + B2 dt b b b OD. L= (A)hit)2 + (Bin(1)2 d1 = VA- + BZ . h(1)dt = VA= + B= [n'(1)at b. Use part (a) to find the length of the curve x = 3t, y = 78, for Ost=4. L=(Type an exact answer, using radicals as needed.)
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