(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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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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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