Match the vector-valued functions (a)-(f) with the space curves- (1)–(vi) in Figure 10. (a) r(1) = (t + 15, e0.081 cos t, e0.081 sin t) (b) r(t) = (cos 1, sin 1, sin 12t) 25t (c) r(t) = (1, t, 1+12/ (e) r(t) = (1, 1², 21) (d) r(t) = (cos³ 1, sin³ 1, sin 2r) (f) r(t) = (cos t, sin t, cos t sin 121) %3D
Match the vector-valued functions (a)-(f) with the space curves- (1)–(vi) in Figure 10. (a) r(1) = (t + 15, e0.081 cos t, e0.081 sin t) (b) r(t) = (cos 1, sin 1, sin 12t) 25t (c) r(t) = (1, t, 1+12/ (e) r(t) = (1, 1², 21) (d) r(t) = (cos³ 1, sin³ 1, sin 2r) (f) r(t) = (cos t, sin t, cos t sin 121) %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Could you explain (d) (e) (f) please?
Exaplain in words please.

Transcribed Image Text:Match the vector-valued functions (a)-(f) with the space curves
(1)–(vi) in Figure 10.
(a) r(1) = (t + 15, e0.081
cos t, e0.081 sin t)
251
(b) r(t) = (cos t, sin 1, sin 12t)
(c) r(t) =
1+12
(e) r(t) = (t, 12, 21)
(d) r(t) = (cos³ 1, sin³ t, sin 2r)
(cos t, sin t, cos t sin 121)
(f) r(t)
(ii)
(iii)
(iv)
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