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Evaluate (if possible) the vector-valued function at each given value of t. r(t) = ln ti + 1/t j + 3tk (d)r(1+Δt) -r(1)

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To solve this exercise, we need to begin by calculating r(1+Δt)\mathbf r(1+\Delta t) by substituting t=1+Δtt=1+\Delta t into the original equation. After that, we will calculate the value of r(t)\mathbf r(t) for t=1t=1 and finaly subtract two obtained equations.

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