Evaluate the vector-valoed function at ebch given value of t .(If an answer does not exitt, enter DNE.)r(t)=(2t1)it2j-t2k2(o)r(0)(b)r(-2)(c)r(c-1)(d)r(1a)-r(1)Represert the ine segremt from ?bar(P) to Q by a vecter-valued function.r(r)=,**,,(5,-5,5]Represent the line wereent from P bo Q br a verler -etlued furebes.Uie the parsmetter x=4 sin(r) to find a vector-valued funceen for the ipsce ouree represenbed by the intersecpen of the surfeces.thednteStudent RexponveStudent Retponte CraphGraph DevcriptionFind r'(t),r''(t), and r'(t)=r''(t).r(t)=5cos(t)i8sin(t)j(a)r'(t)(b)r''(t)(c)r'(t)*r''(t)Find r'(t),r''(t), and r'(t)-r''(t).r(t)=5cos(t)i8sin(t)j(a)r'(t)(b)r**(t)(c)r'(t)*r'(t)Use the properties of the derivative to find the following.r(t)=6ti(t-1)j,u(t)=tit2j53t3k(a)r'(t)(b)ddt[u(t)-2r(t)](c)ddt[(3t)r(t)](d) Evaluate the definite integral.03(tit2j6tk)dtEvaluate the definite integral.03(tit2j6tk)dtFind the tangential and normal components of acceleration at the given time t for the plane curve r(l).r(t)=2ti-4tj,t=2??TT=aN=UysintStiotyen Reypolat1hatave ianowetadarer|n||||=r3|2k,|2,d|||||7hullent lisupor4tFrotert Eatition Oraph Draph BewintiotFrat atianyen mere ihe quat indernd\table[[1,.,4],[6,4,rt=t2t2k,(6,2)\table[[1,??,r