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) %3D 25t (b) r(t) = (cos t, sin 1, sin 12t) (c) r(t) = 1, t, 1+1², (d) r(t) = (cos³ 1, sin³ r, sin 2r) (f) r(t) = (cos 1, sin t, cos t sin 121) (e) r(1) = (1, 1², 21) %3D %3D (i) (ii) (iii) (iv)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Could you explain (d)  (e) (f) please?

 

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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