Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Find the domain of the vector function

r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩

using interval notation.

Expert Solution
Step 1

Given vector function isrt=ln19t,t+8,17-tfind the domain.

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