Let F(t) = < -1² + 5, t4 + t, In a. Determine the coordinates of the point on the curve traced out by r(t) when t = 4. b. Find a direction vector for the line tangent to the graph of r at the point where t = 4 c. Find a parametric equation of the line tangent to r(t) at t =4 x(t) y(t): = z(t) = = - 11 - 8t

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