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Find the length of the following two-dimensional curve. r(t) = (3 cost+ 3t sint,3 sint - 3t cost) , for 0 Ets L= (Type an

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Find the length of the following two-dimensional curve. r(t) = (3 cost+ 3t sint,3 sint - 3t cost) , for 0 Ets L= (Type an exact answer, using it as needed.)\fQuestion 4, 12.1.13 HW Score: 22.22%, 2 of 9 Part 1 of 4 points O Points: 0 of 1 Save Consider the following parametric equations, x= - t+ 2, y=9t+9; -5sts5. Complete parts (a) through (d) below. a. Make a brief table of values of t, x, and y. - 5 - 3 3 5 x(t) y(t) (Type integers or decimals.)For the following trajectory. nd the speed associated with the trajectory and then nd the length of the trajectory.r on the given intenral. TU}={313.13.8t3>:for sis? <: the speed associated with trajectory is e. an exact answer: using radicals as needed. whether following curve uses arc length a parameter. if not. nd description that for select correct choice below and. necessary. fill in answer boxes to complete your choice. l a. riit does not use ofthe parameter rts c . d s answers. g lower bound of s. rtt dueson hw score: el points fl f4 q foints:of1 aprojectile baseball or cannonball launched from origin initial horizontal velocity. um: and vertical velocity v0 moves parabolic given by x="unt." y="Egt" t2 d. where air resistance neglected acceleration due gravity. let u="2D" mils v.3="30" mi parts through below. assuming projectile over ground. at what time it return earth returns t three decimal places>

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