Answer Happy

Which of the sets of vectors below are linearly independent? A) The set {p1​,p2​,p3​}, where p1​(t)=1,p2​(t)=t2,p3​(t)=1+2t B) The set {p1​,p2​,p3​}, where p1​(t)=t,p2​(t)=t2,p3​(t)=4t+2t2 C) The set {p1​,p2​,p3​}, where p1​(t)=1,p2​(t)=t2,p3​(t)=1+2t+t2 D) The set {p1​,p2​}, where p1​(t)=sint,p2​(t)=tant in C[0,1]. E) The set {p1​,p2​}, where p1​(t)=sintcost,p2​(t)=cos2t in C[0,1]. F) The set {p1​,p2​}, where p1​(t)=cos2t,p2​(t)=1+cos2t in C[0,1].