VVF function Point P t value (for point A) 6. 9 1 r(t) =²+ √4- i+√√t+1k (0, 2, 1) 2 For your given function: 1) Find domain. In your submission file clearly explain how you found domain and make a sketch 2) Find coordinates of the point A on the curve when t has the value given in column 4. Show the work 3) Determine value of t at the given point P on the curve (column 3) 4) Write equation of the tangent line at the point P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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VVF function
Point P
t value (for point A)
6.
r(t)=t²i + √4−tj+√t+1k
(0,2,1)
For your given function:
1) Find domain.
In your submission file clearly explain how you found domain and make a sketch
2) Find coordinates of the point A on the curve when t has the value given in column 4.
Show the work
3) Determine value of t at the given point P on the curve (column 3)
4) Write equation of the tangent line at the point P.
5) Graph the curve and the two points A and P on it with MATLAB (Octave). Make sure
you graph within domain.
6) Set up integral to evaluate arch length between points P and A. Approximate the
integral using trapz or quad commands.
7) Graph the tangent line together with the curve and the points.
-0
Transcribed Image Text:VVF function Point P t value (for point A) 6. r(t)=t²i + √4−tj+√t+1k (0,2,1) For your given function: 1) Find domain. In your submission file clearly explain how you found domain and make a sketch 2) Find coordinates of the point A on the curve when t has the value given in column 4. Show the work 3) Determine value of t at the given point P on the curve (column 3) 4) Write equation of the tangent line at the point P. 5) Graph the curve and the two points A and P on it with MATLAB (Octave). Make sure you graph within domain. 6) Set up integral to evaluate arch length between points P and A. Approximate the integral using trapz or quad commands. 7) Graph the tangent line together with the curve and the points. -0
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