Put your Calculus I skills to use to answer the following optimization problems. (a) For the underdamped mass-spring system with m = 1, b = 2, k = 3 and x(0) ment attained for t > 0. (b) For the critically damped mass-spring system with m = 1, b = 4, k displacement attained for t > 0. = 1, (0) = 0, find the maximum displace- 0, (0) = 2, find the maximum = 4 and x(0)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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11. Put your Calculus I skills to use to answer the following optimization problems.
(a) For the underdamped mass-spring system with m = 1, b = 2, k = 3 and x(0) = 1, x(0) = 0, find the maximum displace-
ment attained for t > 0.
(b) For the critically damped mass-spring system with m =
displacement attained for t > 0.
1, b
=
4, k
= 4 and x(0)
=
0, (0)
= 2, find the maximum
Transcribed Image Text:11. Put your Calculus I skills to use to answer the following optimization problems. (a) For the underdamped mass-spring system with m = 1, b = 2, k = 3 and x(0) = 1, x(0) = 0, find the maximum displace- ment attained for t > 0. (b) For the critically damped mass-spring system with m = displacement attained for t > 0. 1, b = 4, k = 4 and x(0) = 0, (0) = 2, find the maximum
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