Consider the curve described by the vector function r(t) (50e t cos t)i (50e t sin t)j (5 5e t )k, for t 0 a What is the initial point of the path corresponding to r(0) b What is c Sketch the curve d Eliminate the parameter t to show that the surface on which the curve r(t) lies is z 5 r 10, where ...

a r0 50 0 0 50 cos t b lim t et 0 by the squeeze th ...

Consider the curve described by the vector function r(t) = (50e -t cos t)i + (50e -t

Question:

Consider the curve described by the vector function

r(t) = (50e^-t cos t)i + (50e^-t sin t)j + (5 - 5e^-t)k, for t ≥ 0.

a. What is the initial point of the path corresponding to r(0)?

b. What is lim r(t)?

c. Sketch the curve.

d. Eliminate the parameter t to show that the surface on which the curve r(t) lies is z = 5 - r/10, where r² = x² + y².

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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 10:28 AM

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Consider the curve described by the vector function r(t) = (50e -t cos t)i + (50e -t

Question:

lim r(t)?

Step by Step Answer:

a r0 50 0 0 50 cos t b lim t et 0 by the squeeze th...View the full answer

Calculus Early Transcendentals

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