Question
In: Advanced Math
Give exact solutions for each of the recurrence relations. Find the equilibrium values. Are the equilibrium...
- Give exact solutions for each of the recurrence relations. Find the equilibrium values. Are the equilibrium values stable?
a. x(n+1) = 1.5x(n) x(0) = 20
b. x(n+1) = -0.75x(n) + 5 x(0) = 10
c. x(n+1) = 1.2x(n) - 5 x(0) = 2
Solutions
Colby Messinger answered 1 year agoRelated Solutions
1 (10 pts) Give a big-θ bound for the solutions of the following recurrence relations. Show...
1 (10 pts) Give a big-θ bound for the solutions of the following
recurrence relations. Show work.
(a) T(n) = 8T(n/2) + n^3 + 100n
(b) T(n) = 5T(n/4) + 3n
(c) T(n) = 7T(n/3) + 100n^2
(d) T(n) = 3T(n/3) + 1000√ n
(e) T(n) = T(n − 1) + n^2
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following
recurrence relations with the given initial conditions. Use an
iterative approach and show your work! What is a_100? a)
a_n=a_(n-1)+2,a_0=3 b) a_n=a_(n-1)+2n+3,a_0=4 c)
a_n=2a_(n-1)-1,a_0=1 d) a_n=-a_(n-1),a_0=5
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following
recurrence relations with the given initial conditions. Use an
iterative approach and show your work! What is
a100 ?
an=an-1+2,
a0=3
an=an-1+2n+3,
a0=4
an=2an-1-1,
a0=1
an=-an-1,
a0=5
Solve the following recurrence relations: (find an asymptotic upper bound O(?) for each one) a. T(n)...
Solve the following recurrence relations: (find an asymptotic
upper bound O(?) for each one)
a. T(n) = T(2n/3)+T(n/3) + n^2
b. T(n) = √nT(√n) + n
c. T(n) = T(n-1)+T(n/2) + n
The base case is that constant size problems can be solved in
constant time (O(1)). You can use the induction, substitution or
recursion tree method
Find the values of sin θ, cos θ, and tan θ for the given right triangle. Give the exact values.
Find the values of sin θ, cos θ, and tan θ for the given right triangle. Give the exact values.
Find the effects of each of the following on the general equilibrium values of the real...
Find the effects of each of the following on the general
equilibrium values of the real wage, employment, output, the real
interest rate, consumption, investment, and the price level.
Illustrate your answers with appropriate graphs (IS-LM-FE).
A) The expected rate of inflation decreases
B) The future marginal product of capital decreases. (Assume
that there is no affect on current labor supply.)
Find the effects of each of the following on the general equilibrium values of the real...
Find the effects of each of the following on the general
equilibrium values of the real wage, employment, output, the real
interest rate, consumption, investment, and the price level.
IllUSTRATE YOUR ANSWERS WITH APPROPRIATE GRAPHS
(IS-LM-FE).
a) The expected rate of inflation decreases.
b) The future marginal product of capital decreases. (Assume that
there is no effect on current labor supply.)
I have this homework due tonight. Please answer step by step and
write clearly to understand. Give thumbs up....
Find the exact values of the sine, cosine, and tangent of the angle. −195° = 30°...
Find the exact values of the sine, cosine, and tangent of the
angle.
−195° = 30° − 225°
sin(−195°)
=
cos(−195°)
=
tan(−195°)
=
Problem 4 (2+2+2+2 marks). Analyze the following recurrence relations using the Master Theorem, and give a...
Problem 4 (2+2+2+2 marks). Analyze the following recurrence
relations using the Master Theorem, and give a Θbound for each. (a)
T(N) = 2T(N/4) + 1. (b) T(N) = 2T(N/4) + √ N. (c) T(N) = 2T(N/4) +
N2 . (d) T(N) = 9T(N/3) + N.
A(g)⇌2B(g) Find the equilibrium partial pressures of A and Bfor each of the following different values...
A(g)⇌2B(g)
Find the equilibrium partial pressures of A and Bfor each of the
following different values of Kp. Assume that the initial
partial pressure of B in each case is 1.0 atm and that the initial
partial pressure of A is 0.0 atm. Make any appropriate simplifying
assumptions.
a)Kp= 1.6
b)Kp= 1.8×10−4
c)Kp= 2.0×105
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