Question

Please answer both questions. thank you.

1 Homework 4.9: Antideri x + - 0 Neea петр? https://www.webassign.net/web/Student/Assignment-Response watch Talk to a Tutor Master It -/1 POINTS SCALCET6 4.9.033. Find f. f'(t) = 8 cost + sect, -1/2 <t</2, f(1/3) = 4 f(t) = Need Help? Watch It Talk to a Tutor -/1 POINTS SCALCET6 4.9.059. A particle is moving with the given data. Find the position of the particle. a(t) = t - 4, s(0) = 7, V(0) = 6 s(t) = Need Help? Watch It Talk to a Tutor Submit Ang Practice Another Version Type here to search

Answer 1

© Griven find f1t) = E cost + sec?t frtl integrate filt) to Now s fit) dt = fe cost + sec2t) dt - Secos tdt + 5 see? t at f(t) = 8 Sirkt) + tamlt) +c : o tornt -Sec%t] $0) = 4 | |- 8 Sin(5) - tes-(G) + 4-5 + 33 + c 4 = 453+53 +.c - a 4-313 -[cz 4-553] f(t) = 8 Sinct) + tant 7 + 4- 5.3 alt) = particle accelatration of alt) = d25 = 5" at time of S dt2 dt - s"= t-y so 1=7 vol26 . since uz as Cuelocity at time to Query our ODE becomes S" = t-4, S6 =7, 5'(o)= 6 LO

integrate o went it! L os(sul'dt - Sals!)dt = Stdt-Sydt s'(t) = *2-4t #c Since 5'(0 )= 6 35 0 = 0-0 +C : ) (= 6 hence e sift 1 - 62-45+6 Integrate again weat it'. Soest )dt = 5+2 dt-8.4+at+ soat >> 5ft) = 3 - 4t2 +64 +a, s(t) = t3 - 2+2 +65 +, S(O)=7 Since 5 720-0+ 0 + C, SCH) = 43 -2 +2 +65 +7 which is Bauticle at the requered position time it? of