Câu hỏi 4 Chưa trả lời Đạt điểm 1,50 P Đặt cờ Let the curve (C) with the equation R(t) =<4cos(t), 4sin(t), 5t>. Find the curvature of (C) at a) any point M(t). b) the point M(t) when t=0. Solution a) R' (t) =< R" (t) =< ⇒ R' (t) x R" (t) =< ⇒ ||R' (t) × R" (t)|| = ||R' (t) || = The curvature at the point M(t) on (C): k(t) = ||R' (t) x R" (t)|| ||R' (t)||³ b) When t = 0, the curvature of (C) at the point M(0) is k(0)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Let the curve (C) with the equation R(t)=�(�)=<4cos(t),4sin(t),5t4���(�),4���(�),5�>. Find the curvature of (C) at

a) any point M(t).

b) the point M(t) when t=0.

Câu hỏi
4
Chưa trả lời
Đạt điểm 1,50
| Đặt cờ
Let the curve (C) with the equation R(t) =<4cos(t), 4sin(t), 5t>. Find the curvature of (C) at
a) any point M(t).
b) the point M(t) when t=0.
Solution
R' (t)
R" (t)
⇒ R' (t) × R" (t)
⇒ ||R' (t) × R" (t)||
||R' (t)|| =
=<
The curvature at the point M(t) on (C): k(t)
||R' (t) × R" (t)||
||R' (t)||³
b)
When t = 0, the curvature of (C) at the point M(0) is (0)
Thời gia
Transcribed Image Text:Câu hỏi 4 Chưa trả lời Đạt điểm 1,50 | Đặt cờ Let the curve (C) with the equation R(t) =<4cos(t), 4sin(t), 5t>. Find the curvature of (C) at a) any point M(t). b) the point M(t) when t=0. Solution R' (t) R" (t) ⇒ R' (t) × R" (t) ⇒ ||R' (t) × R" (t)|| ||R' (t)|| = =< The curvature at the point M(t) on (C): k(t) ||R' (t) × R" (t)|| ||R' (t)||³ b) When t = 0, the curvature of (C) at the point M(0) is (0) Thời gia
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