Let 7(t) = (- 5t + 2, t² – 4t³, 3tª). Find the line (L) tangent to 7(t) at the point (7, 5, 3) L:(x, Y, z) +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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Let \(\vec{r}(t) = \langle -5t^3 + 2, \ t^2 - 4t^3, \ 3t^4 \rangle\).

Find the line (\(L\)) tangent to \(\vec{r}(t)\) at the point \((7, 5, 3)\).

\(L : (x, y, z) = \) [Text box] \( + t\) [Text box]

13.6
Transcribed Image Text:Let \(\vec{r}(t) = \langle -5t^3 + 2, \ t^2 - 4t^3, \ 3t^4 \rangle\). Find the line (\(L\)) tangent to \(\vec{r}(t)\) at the point \((7, 5, 3)\). \(L : (x, y, z) = \) [Text box] \( + t\) [Text box] 13.6
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