Tutorial Exercise Find the domain of the vector function. (Enter your answer using interval notation.) r(t) - (V4 - t², e¯8t, In(t + 1)) Step 1 The domain of a vector function r(t) consists of all values oft for which the expression for r(t) is defined. Therefore, to find the domain, find the intervals where each component is defined, then find their intersection. The first component of r(t) = (V4 – t², e¬8*, In(t + 1)), namely v4 – t², is defined as long as 4 - t? 2 0. This means t must be in the interval

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Tutorial Exercise
Find the domain of the vector function. (Enter your answer using interval notation.)
r(t) = (V4 - t2, e-8t, In(t + 1))
Step 1
The domain of a vector function r(t) consists of all values of t for which the expression for r(t) is defined. Therefore, to find the domain, find the intervals where each component is defined, then find their intersection.
The first component of r(t) = (V4 - t2, e-8t In(t + 1)), namely V4 - t2, is defined as long as 4 - t2 2 0. This means t must be in the interval
Transcribed Image Text:Tutorial Exercise Find the domain of the vector function. (Enter your answer using interval notation.) r(t) = (V4 - t2, e-8t, In(t + 1)) Step 1 The domain of a vector function r(t) consists of all values of t for which the expression for r(t) is defined. Therefore, to find the domain, find the intervals where each component is defined, then find their intersection. The first component of r(t) = (V4 - t2, e-8t In(t + 1)), namely V4 - t2, is defined as long as 4 - t2 2 0. This means t must be in the interval
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