Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k (0, 2, 1) 2 For your given function: 1) Find domain. Clearly explain how you found the domain and make a sketch. 2) Find the coordinates of point A on the curve when t has the value given. Show the work. 3) Determine value of t at the given point P on the curve (column 3) Show the work.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 57E
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Vector-valued functions (VVF)
r(t)
=
VVF
Point P
t value (for point
A)
1
t²i + √√4 − t j + √√t+1k
(0, 2, 1)
2
For your given function:
1) Find domain.
Clearly explain how you found the domain and make a sketch.
2) Find the coordinates of point A on the curve when t has the value given.
Show the work.
3) Determine value of t at the given point P on the curve (column 3)
Show the work.
Transcribed Image Text:Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k (0, 2, 1) 2 For your given function: 1) Find domain. Clearly explain how you found the domain and make a sketch. 2) Find the coordinates of point A on the curve when t has the value given. Show the work. 3) Determine value of t at the given point P on the curve (column 3) Show the work.
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