(a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4 cos(mt)) at the points where t = 0 and t = 0.5. (x, y, 2) = (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 sus1. Select Update Graph to see your responses plotted on the screen. Select the Submit button to grade your responses.) tangent line att = 0 (x(u), y(u), z(u)) = tangent line att = 0.5 (r(u), y{u), z(u)) = Update Graph Student Response Response Description

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...
Question
(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(nt), 6 sin(nt), 4 cos(nt)) at the points where t = 0 and t = 0.5.
(C
(x, y, z) =
(b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 s us 1. Select Update Graph to see your responses plotted on the screen. Select the Submit button to grade your responses.)
tangent line at t = 0
(x(u), y(u), z(u)) =
tangent line at t = 0.5
(x(u), y(u), z(u)) =
Update
Graph
Student Response
Response Description
Transcribed Image Text:(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(nt), 6 sin(nt), 4 cos(nt)) at the points where t = 0 and t = 0.5. (C (x, y, z) = (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 s us 1. Select Update Graph to see your responses plotted on the screen. Select the Submit button to grade your responses.) tangent line at t = 0 (x(u), y(u), z(u)) = tangent line at t = 0.5 (x(u), y(u), z(u)) = Update Graph Student Response Response Description
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