Find an arc length parametrization r₁(s) of the curve r(t) = (e' sin(t), e' cos(t), 12e'). (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r₁(s) = Incorrect +1 sin +1 +1 cos/In + ( ਙ +] } ( ਦਲ +)}{ vਛ +1)(੧) ਜਨ ""}, " ਕਿਤਾ "), 146
Find an arc length parametrization r₁(s) of the curve r(t) = (e' sin(t), e' cos(t), 12e'). (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r₁(s) = Incorrect +1 sin +1 +1 cos/In + ( ਙ +] } ( ਦਲ +)}{ vਛ +1)(੧) ਜਨ ""}, " ਕਿਤਾ "), 146
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Problem Statement:**
Find an arc length parametrization \(\mathbf{r}_1(s)\) of the curve \(\mathbf{r}(t) = \langle e^t \sin(t), e^t \cos(t), 12e^t \rangle\).
*(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)*
**Incorrect Answer:**
\[\mathbf{r}_1(s) = \left\langle \left( \frac{5}{\sqrt{146}} + 1 \right) \sin \left( \ln \left( \frac{5}{\sqrt{146}} + 1 \right) \right), \left( \frac{5}{\sqrt{146}} + 1 \right) \cos \left( \ln \left( \frac{5}{\sqrt{146}} + 1 \right) \right), 10 \sqrt{ \frac{5}{102} + 1 } \right\rangle \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb0e1959-c10c-4eae-bad7-9452177a0286%2Fa51d18ce-ae77-4b32-b43c-c40aa083ecbb%2F6wuabg9_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find an arc length parametrization \(\mathbf{r}_1(s)\) of the curve \(\mathbf{r}(t) = \langle e^t \sin(t), e^t \cos(t), 12e^t \rangle\).
*(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)*
**Incorrect Answer:**
\[\mathbf{r}_1(s) = \left\langle \left( \frac{5}{\sqrt{146}} + 1 \right) \sin \left( \ln \left( \frac{5}{\sqrt{146}} + 1 \right) \right), \left( \frac{5}{\sqrt{146}} + 1 \right) \cos \left( \ln \left( \frac{5}{\sqrt{146}} + 1 \right) \right), 10 \sqrt{ \frac{5}{102} + 1 } \right\rangle \]
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