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NO CALCULATOR IS ALLOWED FOR THIS QUESTIONShow all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness aAnswers without supporting work will usually not receive creditUnless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal pointUnless otherwise specified, the domain of a function is assumed to be the set of all real numbers for which f(x) is a real number.A particle moves along the y-axis so that its position at time t is given by y (t)tam() for t > 1.(a) Show that the velocity of the particle at time t is given by e(t) = 2t tan() - secÃ‚Â²() for t > 1.IVXÃ‚Â¹X,CENB(b) At time is the particle moving toward the origin or away from the origin? Give a reason for your answerB Ixx, 5C EEN(c) The velocity of the particle at time t can be written as e(t) (+)-secÃ‚Â²() fort > 1.Find lime (t). Show the work that leads to your answer.NoneNO CALCULATOR IS ALLOWED FOR THIS QUESTIONShow all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers.Answers without supporting work will usually not receive creditUnless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal pointUnless otherwise specified, the domain of a function is assumed to be the set of all real numbers for which f(z) is a real number.A particle moves along the graxis so that its position at time t is given by y (t)tam() for t > 1.(a) Show that the velocity of the particle at time t is given by(t) = 2t tam()-secÂ²() fort > 1.(b) At time is the particle moving toward the origin or away from the origin? Give a reason for your answer.BIVXx, 5 CE EN(c) The velocity of the particle at time t can be written as e(t)Find lime (t). Show the work that leads to your answerxx, 5 CEEN-seeÂ² (4) for t > 1.0/10000 Word Limit0/10000 Word Limit0/10000 Word Limit

## 1 Approved Answer

Subhash P

5Ratings (11 Votes)

Position function given byst=t2tan1t for t>1 To find velocity we can use derivative Differentiate s(t) with respect to t using...

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