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PracticeQuestions1.Whatfunctionsy(t)havetheconstantderivatives(t)=7?2.Whatistheareafrom0totunderthegraphofs(t)=7?�23.Fromt=0to2,findtheintegral7dt=.04.Whatfunctiony(t)hasthederivatives(t)=7+6t?�25.Fromt=0to2,findarea=integral(7+6t)dt.0d(area)6.Atthisinstantt=2,whatis?dtt7.From0tot,theareaunderthecurves=etISNOTy=e.Iftissmall,theareamustbesmall.Butt=0hasy=e0=1.8.From0tot,thecorrectareaunders=etisy=et−1.dyTheslopeisandnowy(0)=dt9.Noticey0in(y1−y0)+(y2−y1)+(y3−y2)=.ΔydyThesumofΔy=ΔtbecomestheintegralofdtΔtdtTheareaunders(t)from0totbecomesy(t)−y(0).MITOpenCourseWarehttp://ocw.mit.eduResource:HighlightsofCalculusGilbertStrangThefollowingmaynotcorrespondtoaparticularcourseonMITOpenCourseWare,buthasbeenprovidedbytheauthorasanindividuallearningresource.ForinformationaboutcitingthesematerialsorourTermsofUse,visit:http://ocw.mit.edu/terms.