A model for the number Ln of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the two previous years. Identify the value of Lη if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2. Multiple Choice о Ln(800000/3)(-1/2)" - (700000/3) О Ln = (700000/3)(-1/2) - (800000/3) Ln(700000/3)(-1/2) + (800000/3) Ln(800000/3)(-1/2) + (700000/3) Consider the nonhomogeneous linear recurrence relation an = 2an-1+2n. Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(P)} is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an = can - 1+ c2an - 2+...+ckan - k+ F(n), then every solution of the form {a (P) a(h)n, where (a(h)n) is a solution of the associated homogeneous recurrence relation an = can - 1 + c2an - 2 +· · ·+ckan – k· Multiple Choice an = a(2)" + n(2) an = a(2)" + n(2)n-1 an = a(2)" -1+n(2)^-1 an = a(2)^-1 + n(2)" ✓ 'n +
A model for the number Ln of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the two previous years. Identify the value of Lη if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2. Multiple Choice о Ln(800000/3)(-1/2)" - (700000/3) О Ln = (700000/3)(-1/2) - (800000/3) Ln(700000/3)(-1/2) + (800000/3) Ln(800000/3)(-1/2) + (700000/3) Consider the nonhomogeneous linear recurrence relation an = 2an-1+2n. Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(P)} is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an = can - 1+ c2an - 2+...+ckan - k+ F(n), then every solution of the form {a (P) a(h)n, where (a(h)n) is a solution of the associated homogeneous recurrence relation an = can - 1 + c2an - 2 +· · ·+ckan – k· Multiple Choice an = a(2)" + n(2) an = a(2)" + n(2)n-1 an = a(2)" -1+n(2)^-1 an = a(2)^-1 + n(2)" ✓ 'n +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A model for the number Ln of lobsters caught per year is based on the assumption that the number of lobsters caught in a
year is the average of the number caught in the two previous years.
Identify the value of Lη if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2.
Multiple Choice
о
Ln(800000/3)(-1/2)" - (700000/3)
О
Ln = (700000/3)(-1/2) - (800000/3)
Ln(700000/3)(-1/2) + (800000/3)
Ln(800000/3)(-1/2) + (700000/3)
Transcribed Image Text:Consider the nonhomogeneous linear recurrence relation an = 2an-1+2n.
Identify the set of all solutions of the given recurrence relation using the theorem given below.
If {a(P)} is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an = can - 1+ c2an - 2+...+ckan - k+ F(n), then every solution of the form {a (P)
a(h)n, where (a(h)n) is a solution of the associated homogeneous recurrence relation an = can - 1 + c2an - 2 +· · ·+ckan – k·
Multiple Choice
an = a(2)" + n(2)
an = a(2)" + n(2)n-1
an = a(2)" -1+n(2)^-1
an = a(2)^-1 + n(2)"
✓
'n +
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