Find the domain of the vector function. (Enter your answer using interval notation.) t- 2 r{t) = (, sint, In(9 -1?) t +2 a. [-3, – 2)U(- 2,3] b. (-3, – 2) c. [-3, - 2)U(- 2,3) d. (-3,– 2)U(- 2,3) (- 3, – 2)U[- 2,3] с. е. O a O b O d

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem: Find the domain of the vector function. (Enter your answer using interval notation.)**

Given the vector function:

\[ \mathbf{r}(t) = \left\langle \frac{t-2}{t+2}, \sin t, \ln(9-t^2) \right\rangle \]

**Options:**

a. \([-3, -2) \cup (-2, 3]\)

b. \((-3, -2)\)

c. \([-3, -2) \cup (-2, 3)\)

d. \((-3, -2) \cup (-2, 3)\)

e. \((-3, -2) \cup [-2, 3]\)

**Choices (radio buttons):**

- \(\bigcirc\) e
- \(\bigcirc\) a
- \(\bigcirc\) c
- \(\bigcirc\) b
- \(\bigcirc\) d
Transcribed Image Text:**Problem: Find the domain of the vector function. (Enter your answer using interval notation.)** Given the vector function: \[ \mathbf{r}(t) = \left\langle \frac{t-2}{t+2}, \sin t, \ln(9-t^2) \right\rangle \] **Options:** a. \([-3, -2) \cup (-2, 3]\) b. \((-3, -2)\) c. \([-3, -2) \cup (-2, 3)\) d. \((-3, -2) \cup (-2, 3)\) e. \((-3, -2) \cup [-2, 3]\) **Choices (radio buttons):** - \(\bigcirc\) e - \(\bigcirc\) a - \(\bigcirc\) c - \(\bigcirc\) b - \(\bigcirc\) d
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