## Related questions with answers

Question

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)

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 4To solve this exercise, we need to begin by calculating $\mathbf r(1+\Delta t)$ by substituting $t=1+\Delta t$ into the original equation. After that, we will calculate the value of $\mathbf r(t)$ for $t=1$ and finaly subtract two obtained equations.

Step 1

1 of 7$r(1 + \Delta t) = [\ln (1 + \Delta t)]i + \dfrac{1}{1 + \Delta t}j + 3(1 + \Delta t)k$

First calculate $r(1 + \Delta t)$ by substituting $t$ with $(1 + \Delta t)$.

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