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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
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?

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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)
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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