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Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d -(u(t) v(t)) when t dt -(ũ · v)( − 1) = - 1.

Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d -(u(t) v(t)) when t dt -(ũ · v)( − 1) = - 1.

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...
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3.2.3

Given the vector-valued functions - е ū(t) =e5ti + e¯4tj + tk - 3ti - 2t²j + 3k v(t) find d = dt d dt -(ū(t) · v(t)) when t -(u · v) ( − 1) = = - 1.
Transcribed Image Text:Given the vector-valued functions - е ū(t) =e5ti + e¯4tj + tk - 3ti - 2t²j + 3k v(t) find d = dt d dt -(ū(t) · v(t)) when t -(u · v) ( − 1) = = - 1.
Let F(t) = 4t³ + 5, t² + 2t¹, 3t²). ( − − Find the line (L) tangent to r(t) at the point (1, 3, L: (x, y, z) = +t 3)
Transcribed Image Text:Let F(t) = 4t³ + 5, t² + 2t¹, 3t²). ( − − Find the line (L) tangent to r(t) at the point (1, 3, L: (x, y, z) = +t 3)
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u→t=e5ti→+e-4tj→+tk→v→t=-3ti→-2tj→+3k→

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