Determine whether the following statements are true and give an explanation or counterexample. a. The line r(t)

Question:

Determine whether the following statements are true and give an explanation or counterexample.

a. The line r(t) = (3, -1, 4) + t(6, -2, 8) passes through the origin.

b. Any two nonparallel lines in R³ intersect.

c. The curve r(t) = (e^-t, sin t, -cos t) approaches a circle as t→∞.

d. If r(t) = e^-t2(1, 1, 1) then lim r(t). lim r(t)

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 10:25 AM

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Determine whether the following statements are true and give an explanation or counterexample. a. The line r(t)

Question:

lim r(t). lim r(t)

Step by Step Answer:

a True This curve passes through the origin at t 12 b False For exam...View the full answer

Calculus Early Transcendentals

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