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(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(xt), 2 sin(xt), 6 cos(at)) at the points where t = 0 and t = 0.5. (х, у, 2) %3D (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 sus 1. Select Update Graph to see your responses plotted on the screen. tangent line at t = 0 (x(u), y(u), z(u)) = 5n,2n,0 tangent line at t = 0.5 (x(u), y(u), z(u)) = 0,0, – 6 Update Graph Student Response Response Description

(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(xt), 2 sin(xt), 6 cos(at)) at the points where t = 0 and t = 0.5. (х, у, 2) %3D (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 sus 1. Select Update Graph to see your responses plotted on the screen. tangent line at t = 0 (x(u), y(u), z(u)) = 5n,2n,0 tangent line at t = 0.5 (x(u), y(u), z(u)) = 0,0, – 6 Update Graph Student Response Response Description

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 3E
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(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(at), 2 sin(at), 6 cos(nt)) at the points where t = 0 and t = 0.5. (х, у, 2) %3 (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 < u< 1. Select Update Graph to see your responses plotted on the screen. tangent line at t = 0 (x(u), y(u), z(u)) 57,2r,0 tangent line at t = 0.5 (x(u), y(u), z(u) 0,0, – 6 %3D Student Response Response Description Update Graph 7 3
Transcribed Image Text:(a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(at), 2 sin(at), 6 cos(nt)) at the points where t = 0 and t = 0.5. (х, у, 2) %3 (b) Find both tangent lines. Illustrate by graphing the curve and both tangent lines. (The tangent lines will be plotted for -1 < u< 1. Select Update Graph to see your responses plotted on the screen. tangent line at t = 0 (x(u), y(u), z(u)) 57,2r,0 tangent line at t = 0.5 (x(u), y(u), z(u) 0,0, – 6 %3D Student Response Response Description Update Graph 7 3
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