Find B and for the space curve below. r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk T = 24 cos 4t 25 4¹) ₁ - (24 24 sin 4t 25 N = (sin 4t)i - (cos 4t)j K 11 96 625 7 -k 25

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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Find B and T for the space curve below.
r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk
T =
24 cos 4t
25
54¹) ₁- (24
24 sin 4t
25
N = ( sin 4t)i - (cos 4t)j
B
11
K =
7
25
96
625
7
41] ₁ + (・
( - 12/15
cos 4t
7
²9₁ + 2/5 ²
-k
24
141] ₁ + (−265) K
sin 4t
T=
(Type an integer or a simplified fraction.)
Transcribed Image Text:Find B and T for the space curve below. r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk T = 24 cos 4t 25 54¹) ₁- (24 24 sin 4t 25 N = ( sin 4t)i - (cos 4t)j B 11 K = 7 25 96 625 7 41] ₁ + (・ ( - 12/15 cos 4t 7 ²9₁ + 2/5 ² -k 24 141] ₁ + (−265) K sin 4t T= (Type an integer or a simplified fraction.)
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