Calculus Questions from Jan 26,2025

Browse the Calculus Q&A Archive for Jan 26,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A particle's velocity function is given by . Find the position function if the initial position at time t=0 is 5. 36. The vertical position of a particle with respect to its starting position is modeled by the function , where is measured in seconds. A. Write and solve a polynomial equation to determine the points in time when the particle returned to its starting vertical position. B. Write and solve a polynomial equation by successive approximations to determine the point in time to three decimal places when the particle reaches a vertical position of 64 . Let and . For all True 36. The vertical position of a particle with respect to its starting position is modeled by the function , where is measured in seconds. A. Write and solve a polynomial equation to determine the points in time when the particle returned to its starting vertical position. B. Write and solve a polynomial equation by successive approximations to determine the point in time to three decimal places when the particle reaches a vertical position of 64 . 34. The function models the volume of a plastic container, where (in inches) is the radius. Use successive approximations to determine the radius to three decimal places when the volume of the container is . Start with the interval [3, 4].
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