Hi,

Can someone please help me answer ALL 11 questions in my assignment neatly and in detail?

Thanks

Assignment 4 Complete this assignment after you have nished Unit '1, and submit your wnrktn yen: tutor for grading. Total paint: an Weight: man {4 points} 1. Thevelncityufanantnmningalnngtheedgeufashelfie modeledbvfthemctinn 5t , nshu 54, 15:52 where: isinsemnsaud L: iaineentimeters pet-second Estimatethetimeatwhichtheantis 4cm frnm itsstartingpositiuu. ml {16 points} 2. Calculate the indenite integrals listeti belmnr {4 white} 3. UsetbeMean'ValueTheormtnshmhat forenyrealnumbers n, b lamacash] 5 Iabl (4mm 4; letfixl=3r3+~E-2- a. Findanintervalwherethemennf hasnnemot. h. UseRnlle'sthenremtushuwthattheJnctinn f hasexacyonemnt. HintSeeEhmmpdeEnnpageaufthetextbmk. {4 paints) 5. LTlalerueitientit}F ms\" r+sin'x =1 taintegrate Imaixaiu' I lit. 6. I'D. 11. {12 points] Evaluate eaeh of the denite integrals listed below a. ['ms'mdr h. [atsimssinxdx e. Ex\" +oos[2x] dx {6 points] Apply the mdamental theorem of calculus to nd the following derivative 73-1:an1 dr. {Spoints} Aeircularswimmingpuolhasadiameterof.,thesidesare5.high,andthedepthofthewateris 4..Hown1ueh wkisreqniredtopumpallofthewateroutmiertheside?{sethefaetthatwaterweighs lalhfl] {3 Points} . a. Sketchtheregionboundedhythemtrvesy=%, y=s4xanay=ax h. Findtheareaoftheregionsketehedinpartu. { ' ts} Ampdhhnrqestarngomrtpeedsuptthamnanteeeelerathnof 16 mfaefterithastraveled mom,itslowsdownwithamustantameleraonoflmfsunlitattainsaveloeityuflemfsWhatis the distanee traveledhv the motorqtc'le at that point? Hintnnmtusedecimsls, leaveaquareroutsindicated. {6 points} a. The temperature ofa 1o rn longmetal her is 15"[3 at one end and 30C at the other end. Assuming that thetemperatureinereaseslinearlyfromtheeeulerendtothe hutterend, whatisthe average temperature of the hartI h. Explaiuwhytheremustheapuintonmeharwherethetemperatureisthesameastheaverage,and ndit. \f\f