Find the principle unit normal vector to the curve given below at the specified point. r(t) = ti+3t²j, t = 1 N(1) = N(1)= O N(1)= N(1)= N(1)= 6 1 37 √37 -6 -6 37 -6 37 -6 √10 i+ -i+ 1 √10 1 1 √37 1 j j

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Question 11
Find the principle unit normal vector to the curve given below at the specified point.
r(t) = ti+ 3t²j, t = 1
ON(1)=
○ N(1) =
O
O
O
N(1) =
N(1)=
N(1) =
6
√√37
-6
√10
√√37
-6
√√37
i+
Question 12
1
√37
1
√10
1
√37
D
√37
1
it
√10 √10
j
Find at at time t = 1 for the plane curve r(t) = 4t²i+3tj. Round your answer to three decimal place
Transcribed Image Text:Question 11 Find the principle unit normal vector to the curve given below at the specified point. r(t) = ti+ 3t²j, t = 1 ON(1)= ○ N(1) = O O O N(1) = N(1)= N(1) = 6 √√37 -6 √10 √√37 -6 √√37 i+ Question 12 1 √37 1 √10 1 √37 D √37 1 it √10 √10 j Find at at time t = 1 for the plane curve r(t) = 4t²i+3tj. Round your answer to three decimal place
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