[3} A particle mes 1with velocity function HR} = sin! met and its initial displacement is 5(0) = I] n1. Find its position mention after t seconds. 1 . + . 2r , r\" 2 [9} Let {(3) = 1 _ z: with derivatives 1"{1'} = [l _ 1'1}? 311d f [3} = i For the function f, determine: [a] The vertical and herimutal asymptote; [b] The intmmlsofinereeseanddecmsse. (e) The local maximum and minimum values. [d] The intervals of concavity and inection points. (e) Use the information from above to sketch f. aux? dz, 3 {11]} Evaluate the integral; f [i g d