For the curve defined by 7(t) = (e-t, v2 - t, e*) find the unit tangent vector and unit normal vector at t = 0. Hint 1: 7'(t)| can be simplified. Try using the rule a? + 2ab + b2 = (a + b)². Hint 2; You will need quotient rule to calculate T'(t). Hint 3: T'(t) is the final derivative you need to complete the problem. Plug in t = 0 after finding T'(t) but before finding T'(t). T(t) = Ñ(t) = B(t) =
For the curve defined by 7(t) = (e-t, v2 - t, e*) find the unit tangent vector and unit normal vector at t = 0. Hint 1: 7'(t)| can be simplified. Try using the rule a? + 2ab + b2 = (a + b)². Hint 2; You will need quotient rule to calculate T'(t). Hint 3: T'(t) is the final derivative you need to complete the problem. Plug in t = 0 after finding T'(t) but before finding T'(t). T(t) = Ñ(t) = B(t) =
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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
Transcribed Image Text:For the curve defined by
7(t) = (e-t, v2 · t, e')
6.
find the unit tangent vector and unit normal vector at t =
= 0.
Hint 1: 7'(t)| can be simplified. Try using the rule a? + 2ab + b = (a + b)°.
Hint 2; You will need quotient rule to calculate T'(t).
Hint 3: T'(t) is the final derivative you need to complete the problem. Plug in t = 0 after
finding T'(t) but before finding T'(t)|.
T(t) =
N(t)
B(t)
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