Answer to Question #116461 in Calculus for Olivia

Question

The domain of r(t)=⟨sin(t),cos(t),ln(t+1)⟩ is
Select one:
a. R

b. (−1,∞)

c. (−∞,−1]


d. (−π,2π)


e. (π,2π)

f. (−∞,−2]

Answer 1

$\sin t : t\in(-\infty, +\infty),\\ \cos t : t\in(-\infty, +\infty),\\ \ln(t+1): t+1>0 \to t>-1\to t\in(-1,+\infty)$ .

The correct answer is b.