(Recall Lq" + Rq' + q= 0.) Find the charge q in a circuit when L = 0.1 h, R = 6 N, C = f, a(0) = 3 C, q' (0) = 0 A || 250 -30t q (t) = 3e- cos(40t) + e 30t sin(40t) %3D 4. O q = 2e-20t cos(40t) + e -20t sin(40t) 40 %3D COS O q = 3e 9/241-3t e 241 -3t sin(/241t) -3t cos(/241t) + %3D O q (t) = e-30t cos(40t) – 753-30t e 4 sin(40t) %3D

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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(Recall Lq" + Rq' + q= 0.) Find the charge q in a circuit when
L = 0.1 h, R = 6 N, C = f, q(0) = 3 C, q' (0) = 0 A .
250
q (t)
-30t
3e
cos(40t) +
-30t
e
4.
sin(40t)
91
O q = 2e
-20t
e
40
sin(40t)
-20t
cos(40t) +
O q = 3e
9/241-3t
sin (/241t)
-3t
cos(/241t) +
241
753
-30t
O q(t) = e-30t cos(40t)
sin(40t)
4.
Transcribed Image Text:(Recall Lq" + Rq' + q= 0.) Find the charge q in a circuit when L = 0.1 h, R = 6 N, C = f, q(0) = 3 C, q' (0) = 0 A . 250 q (t) -30t 3e cos(40t) + -30t e 4. sin(40t) 91 O q = 2e -20t e 40 sin(40t) -20t cos(40t) + O q = 3e 9/241-3t sin (/241t) -3t cos(/241t) + 241 753 -30t O q(t) = e-30t cos(40t) sin(40t) 4.
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