1. Exercise. Suppose p : R → R° and q :R → R° are vector-valued functions. Further assume p'(-1) = (1,2, 3) and q'(-1) = (1,1,-2). Let v(t) = p(t) + q(t) be yet another vector-valued function. Then v'(-1) = Exercise. Let f(t) = (1,2,3). Find v(t) so that v(0) = (0,0,0) and v'(t) = f(t). v(t) = Exercise. A curve C is described by the vector-valued function p(t) = (t², 4 – 2t2, t2 + 2). Exercise. Find all t-values where p and p' are orthogonal. List your answers in order from least to greatest: t = t = t =

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A: Given :- F →t =  cos πt , e2t-1 , t2 - 1  , G →1 =  1 , 1 , -1G' →1 =  2, 3, 2G'' →1 =  0 , 1 , 0…

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