(a) Describe, in words, what it means for a variety V to be defined parametrically. (That is, what is 'a parametrization' of V?) Give one parametrization of the twisted cubic eurve C (state it, without proof). (b) Let f-2-r, h-y -, and g r + y² + s? - 9. Recall that (,h)-I(C) for the twisted cubic C Sh

(a) Describe, in words, what it means for a variety V to be defined parametrically. (That is, what is 'a parametrization' of V?) Give one parametrization of the twisted cubic eurve C (state it, without proof). (b) Let f-2-r, h-y -, and g r + y² + s? - 9. Recall that (,h)-I(C) for the twisted cubic C Sh

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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(a) Describe, in words, what it means for a variety V to be defined parametrically. (That is, what is
'a parametrization' of V?) Give one parametrization of the twisted cubic curve C (state it, without
proof).
(b) Let f=2 - r", h=y – a², and g = a² + y? + 2² - 9. Recall that (, h)= I(C) for the twisted cubic
curve C. Show' that (g) & (S, h).

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