Determine the interval(s) on which the vector-valued function is continuous

sonkitty2h

sonkitty2h

Answered question

2021-11-25

Determine the interval(s) on which the vector-valued function is continuous r(t)=ti+arcsintj+(t1)k.

Answer & Explanation

huckelig75

huckelig75

Beginner2021-11-26Added 11 answers

Step 1
Consider the following vector:
r(t)=ti^+arcsin(t)j^+(t1)k^
t and t-1 are continuous everywhere.
arcsin(t) is defined on the interval [-1,1].
Step 2
Hence, the vector-valued function r(t) continuous on interval [-1,1].

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