Consider an object following the path of the two-dimensional vector-valued function p(t) = (2t? – 2t – 2,4 – (3t2 + 2t)). When does it pass through the point (2, 3)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point (2, –12)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point (58, –119)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When is it at rest? If it is at rest at some point, give the t value. If it is never at rest, enter NONE as the answer. Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Consider an object following the path of the two-dimensional vector-valued function p(t) = (2t? – 2t – 2,4 – (3t2 + 2t))
When does it pass through the point (2, 3)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer.
Answer:
When does it pass through the point (2, –12)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer.
Answer:
When does it pass through the point (58, –119)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer.
Answer:
When is it at rest? If it is at rest at some point, give thet value. If it is never at rest, enter NONE as the answer.
Answer:
Transcribed Image Text:Consider an object following the path of the two-dimensional vector-valued function p(t) = (2t? – 2t – 2,4 – (3t2 + 2t)) When does it pass through the point (2, 3)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point (2, –12)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When does it pass through the point (58, –119)? If it passes through that point, give the t value. If it does not pass through that point, enter NONE as the answer. Answer: When is it at rest? If it is at rest at some point, give thet value. If it is never at rest, enter NONE as the answer. Answer:
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