Answers edited by Chitram Banerjee

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• Can someone help explain the reasoning behind this question?
  
• Question #c8f25
  
• Question #3993a
  
• How do you factor completely #x^2 + 12xy + 35y^2#?
  
• An object's velocity is given by #v(t) = (t^2 -t +1 , t^3- 3t )#. What is the object's rate and direction of acceleration at #t=2 #?
  
• What is the projection of # <0,8,5># onto #<1,2,-4>#?
  
• Does entropy increase or decrease during transformation of egg into chicken?
  
• Two non collinear position vectors #veca & vecb# are inclined at an angle #(2pi)/3#,where #|veca|=3 & |vecb|=4 #. A point P moves so that #vec(OP)=(e^t+e^-t)veca +(e^t-e^-t)vecb#. The least distance of P from origin O is #sqrt2sqrt(sqrtp-q)# then p+q =?
  
• Objects A and B are at the origin. If object A moves to #(-6 ,7 )# and object B moves to #(-6 ,-1 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
  
• What is the moment of inertia of a pendulum with a mass of #4 kg# that is #4 m# from the pivot?