Question

In: Advanced Math

Solve the recurrence equations by Substitution a) T(n) = 4T (n/2) + n, T (1) =...

Solve the recurrence equations by Substitution

a) T(n) = 4T (n/2) + n, T (1) = 1

b) T(n) = 4T (n/2) + n2 , T (1) = 1

c) T(n) = 4T (n/2) + n3 , T (1) = 1

Solutions

Expert Solution


Related Solutions

- Solve the following recurrence relation : T(n) = T(αn) + T((1 − α)n) + n
- Solve the following recurrence relation : T(n) = T(αn) + T((1 − α)n) + n
Solve the recurrence equation. T(n) = 3T (n/3) + Cn T(1) = C
Solve the recurrence equation. T(n) = 3T (n/3) + Cn T(1) = C
Using the backward substitution method, solve the following recurrence relations: a.T(n)= T(n−1)+3forn>1 ,T(1)=0 b.T(n)=3T(n−1) forn>1 ,T(1)=7...
Using the backward substitution method, solve the following recurrence relations: a.T(n)= T(n−1)+3forn>1 ,T(1)=0 b.T(n)=3T(n−1) forn>1 ,T(1)=7 c.T(n)= T(n−1)+n for n>0 ,T(0)=0 d.T(n)= T(n/2)+n for n>1 ,T(1)=1(solve for n=2k) e.T(n)= T(n/3)+1forn>1 ,T(1)=1(solve for n=3k)
1. Using domain and range transformations, solve the following recurrence relations: a) T(1) = 1, T(n)...
1. Using domain and range transformations, solve the following recurrence relations: a) T(1) = 1, T(n) = 2T(n/2) + 6n - 1 b) T(1) = 1, T(n) = 3T(n/2) + n^2 - n
Solve the given non-homogeneous recurrence relations: an = an-1 + 6an-2 + f(n) a) an =...
Solve the given non-homogeneous recurrence relations: an = an-1 + 6an-2 + f(n) a) an = an-1 + 6an-2 - 2n+1 with a0 = -4, a1= 5 b) an = an-1 + 6an-2 + 5 x 3n with a0 = 2, a1 = 5 c) an = an-1 + 6an-2 - 36n with a0 = 10, a1= 40
Solve the following recurrence relations. a. x(n) = x(n − 1) + 3 for n >...
Solve the following recurrence relations. a. x(n) = x(n − 1) + 3 for n > 1, x(1) = 0 b. x(n) = 5x(n − 1) for n > 1, x(1) = 6 c. x(n) = x(n/5) + 1 for n > 1, x(1) = 1 (solve for n = 5k )
Solve the following system of equations using the Substitution Method. 1.x + 3y = – 2...
Solve the following system of equations using the Substitution Method. 1.x + 3y = – 2 5x + 15y = 0 2. x – 4y = 10 3x – 2y = 10 3. 4a + 7b = 54 2a – 3b = 14 4. 2x – 3y = 1 8x – 12y = 4 5. 3x + 4y = 12 6x + 8y = 24 6.  2a – 5b = 10 3a – b = 2
A curve c is defined by the parametric equations x= t^2 y= t^3-4t a) The curve...
A curve c is defined by the parametric equations x= t^2 y= t^3-4t a) The curve C has 2 tangent lines at the point (6,0). Find their equations. b) Find the points on C where the tangent line is vertical and where it is horizontal.
Give upper and lower bounds for T(n) in the following recurrence: T(n) = 3T(n/4) + n
Give upper and lower bounds for T(n) in the following recurrence: T(n) = 3T(n/4) + n
Solve the following recurrence relation for the given initial conditions. y(n+2) - 0.3y(n + 1) + 0.02y(n) = 10 y(0) = 2; y(1) = 0
Solve the following recurrence relation for the given initial conditions.y(n+2) - 0.3y(n + 1) + 0.02y(n) = 10        y(0) = 2;    y(1) = 0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT