Homework Help is Here – Start Your Trial Now!
Math
Calculus
In Exercises 47-52, use Eq. (12) to find N at the point indicatee 47. (12,1), 1 = 1 %3D 48. (t- sin t, 1 – cos t), t=T

In Exercises 47-52, use Eq. (12) to find N at the point indicatee 47. (12,1), 1 = 1 %3D 48. (t- sin t, 1 – cos t), t=T

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

Number 47

v(t)r"(1) – v'(t)r'(t) N(t) = 12 || v(1)r"(1) – v'(t)r'(t)|| %3D Hint: N is the unit vector in the direction T'(t). Differentiate T(t) = r'(t)/v(t) to show that v(t)r"(t) - v'(t)r'(t) is a positive multiple of T' (t). In Exercises 47-52, use Eg. (12) to find N at the point indicated. 47. (12,1), t = 1 48. (t- sin t, 1- cos t), t = T 49. (12/2,13/3, 1), 1 = 1 50. (t-1,t,12), t = -1 3D1 51. (t, e', t), t = 0 bor 52. (cosh t, sinht,t²), t= 0 53. Let r(t) = (1, $r³/2,1). %3D (a) Find T, N, and B at the point corresponding to t = = 1. (b) Find the equation of the osculating plane at the point corresponding t = 1.
Transcribed Image Text:v(t)r"(1) – v'(t)r'(t) N(t) = 12 || v(1)r"(1) – v'(t)r'(t)|| %3D Hint: N is the unit vector in the direction T'(t). Differentiate T(t) = r'(t)/v(t) to show that v(t)r"(t) - v'(t)r'(t) is a positive multiple of T' (t). In Exercises 47-52, use Eg. (12) to find N at the point indicated. 47. (12,1), t = 1 48. (t- sin t, 1- cos t), t = T 49. (12/2,13/3, 1), 1 = 1 50. (t-1,t,12), t = -1 3D1 51. (t, e', t), t = 0 bor 52. (cosh t, sinht,t²), t= 0 53. Let r(t) = (1, $r³/2,1). %3D (a) Find T, N, and B at the point corresponding to t = = 1. (b) Find the equation of the osculating plane at the point corresponding t = 1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS