Question

Find a function r(t) that describes the line passing through P(6,4,4) and Q(9,7,8). r(t) = (3t+6.00.fo Find the domain of the following vector-valued function. r(t) = vt+1i+t-3j

Answer 1

Therefore, the domain of the function r(t) = vt+1i+t-3j is (-∞, ∞).

Explanation:

To find the domain of the following vector-valued function, r(t) = vt+1i+t-3j, we need to determine the range of values that t can take. Since t appears in both terms of the function, we need to ensure that both terms are defined for all possible values of t.

The domain of t is typically all real numbers, unless there are specific restrictions given in the problem. In this case, there are no such restrictions, so the domain of t is all real numbers, or (-∞, ∞).

Therefore, the domain of the function r(t) = vt+1i+t-3j is (-∞, ∞).