Suppose R(t) is a differentiable vector function for t -1 with R'(t) = (tri +2?); 1+t' 1+ t R(0) = (1, 1, -1). 1. Find R(t). 2. Give the vector equation of the line tangent to the curve defined by R(t) at (1,1,-1) 3. Evaluate (Rof)'(0) if f(t) = 2et. 1+ t and

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Suppose R(t) is a differentiable vector function for t> -1 with R'(t) = (tri +2?); 1+t' 1+ t R(0) = (1, 1, -1). 1. Find R(t). 2. Give the vector equation of the line tangent to the curve defined by R(t) at (1,1,-1) 3. Evaluate (Rof)'(0) if f(t) = 2et. 1+ t and

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