two paths rị(1) and r2(1) intersect if there is a point P lying on both curves. We say that rị(t) and r2(1) collide if rị(10) = r2(10) at some time to. Which of the following statements are true? (a) If r|(1) and r2(1) intersect, then they collide. (b) If r|(1) and r2(1) collide, then they intersect. (c) Intersection depends only on the underlying curves traced by rị and r2, but collision depends on the actual parametrizations.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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two paths rị(1) and r2(1) intersect if there is a
point P lying on both curves. We say that rị(t) and r2(1) collide if
rị(10) = r2(10) at some time to.
Which of the following statements are true?
(a) If r|(1) and r2(1) intersect, then they collide.
(b) If r|(1) and r2(1) collide, then they intersect.
(c) Intersection depends only on the underlying curves traced by rị
and r2, but collision depends on the actual parametrizations.
Transcribed Image Text:two paths rị(1) and r2(1) intersect if there is a point P lying on both curves. We say that rị(t) and r2(1) collide if rị(10) = r2(10) at some time to. Which of the following statements are true? (a) If r|(1) and r2(1) intersect, then they collide. (b) If r|(1) and r2(1) collide, then they intersect. (c) Intersection depends only on the underlying curves traced by rị and r2, but collision depends on the actual parametrizations.
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