What is |r′→(t)×r′′→(t)| Find κ(0):Find κ(1): Find the curvature ofr(t) = ti + t²j + t³ at different valuesof t.Which formula would you use to findcurvature K:k(t) =k(t):k(t) =k(t) =|7 ( 1 ) × 7² (t) |F³² (1) ³3|F² (1) × 7²¹ (1)|2¹ (t)7 (t) × 7² (t)(t)37² 7²³(t) × (t)Fo3 What is r(t)Answer format: a, b, cCheck Answer/Save✪ Step-By-Step ExampleLive HelpWhat is r" (t)Answer format: a, b, c

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Answered: -ind the curvature of r` (t) = ti + t²j…

-ind the curvature of r` (t) = ti + t²j + t³ k at different valu oft. Which formula would you use to find curvature K: O k(t) = r(t) × ¹ (t) r' (t) Fox 3 all (+)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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Question

What is |r′→(t)×r′′→(t)| Find κ(0): Find κ(1):

Find the curvature of
r(t) = ti + t²j + t³ at different values
of t.
Which formula would you use to find
curvature K:
k(t) =
k(t):
k(t) =
k(t) =
|7 ( 1 ) × 7² (t) |
F³² (1) ³
3
|F² (1) × 7²¹ (1)|
2
¹ (t)
7 (t) × 7² (t)
(t)
3
7² 7²³
(t) × (t)
Fo
3

What is r(t)
Answer format: a, b, c
Check Answer/Save
✪ Step-By-Step Example
Live Help
What is r" (t)
Answer format: a, b, c

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Step 1: Given

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Step 2: Find value of r'(t) and |r'(t)|

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Step 3: Find value of |r"(t)| and |r'(t)×r"(t)|

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Step 4: Find value of k(0) and k(1)

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