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  3. 2. a. a particle moves in a straight line along wi

2. a. A particle moves in a straight line along with the ? − ???? its...

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Basic Math

2. a. A particle moves in a straight line along with the ? −???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 +12? + 6,? ≥ 0, where ? is measured in seconds and s is measured inmeters. Find: i. The velocity function of the particle at time ?(2marks) ii. The acceleration function of the particle at time t.(2marks) iii. The acceleration after 5 seconds (1marks) b. Find thederivative of ? = 5???3(?) sin(3−2?) + ???2 (3? 2 − 4?) − csc(√2? −1 )and express your answer in terms of sin and cos only(15marks)

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