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28. Show that there are 12 pairs of numbers (a1,az) with 0<aj < 4,0 <a2 <6...
float useless(A){ n = A.length; if (n==1) { return A[@]; let A1,A2 be arrays of size...
float useless(A){ n = A.length; if (n==1) { return A[@]; let A1,A2 be arrays of size n/2 for (i=0; i <= (n/2)-1; i++){ A1[i] = A[i]; A2[i] = A[n/2 + i]; for (i=0; i<=(n/2)-1; i++){ for (j=i+1; j<= (n/2)-1; j++){ if (A1[i] == A2[j]) A2[j] = 0; b1 = useless(A1); b2 = useless (A2); return max(b1,b2); What is the asymptotic upper bound of the code above?
solve 3.44 by strong induction Statement 3.44. Let a = 1, az = 3, and for...
solve 3.44 by strong induction
Statement 3.44. Let a = 1, az = 3, and for each natural number greater than 2 define an = an-1 + an-2. Then an < (7/4)" for all natural numbers n. Statement 3.45. Let aj = 1, a2 = 2, a3 = 3, and define an = an-1 + for all 4 Thong on for all incN
Urgent! Please mark all correct answers and find values of a1,a2,a3 and b1,b2,b3. (1 point) The...
Urgent!
Please mark all correct answers and find values of a1,a2,a3 and
b1,b2,b3.
(1 point) The second order equation 3x2y" + 5xy' +(-1x – 1)y = 0 has a regular singular point at x = 0, and therefore has a series solution DO (x) = ± x"+". N=0 The recurrence relation for the coefficients can be written in the form n=1,2,.... C =( ),-1) (The answer is a function of n and r.) The general solution can be written in...
Urgent!!! Please show all the answers and clearly mark them and please show values of a1,a2,a3,a4,a5...
Urgent!!!
Please show all the answers and clearly mark them and please
show values of a1,a2,a3,a4,a5 and b1-b6.
Thank you!
(1 point) The second order equation x2y" + xy + (x2 - y = 0 has a regular singular point at x = 0, and therefore has a series solution y(x) = Σ C+*+r N=0 The recurrence relation for the coefficients can be written in the form of C.-2, n = 2,3,.... Ch =( (The answer is a function of...
Urgent!! Please label all the answers and find a1,a2,a3 and b1,b2,b3. (1 point) The second order...
Urgent!!
Please label all the answers and find a1,a2,a3 and b1,b2,b3.
(1 point) The second order equation x2y" - (x – ķ) y = 0 has a regular singular point at x = 0, and therefore has a series solutio y(x) = Σ CnN+r n=0 The recurrence relation for the coefficients can be written in the form Cn =( DCn-1, n = 1,2, ..., (The answer is a function of n and r.) The general solution can be written in...
4) Given Variables: L1 : 0.1 H Determine the following: a1 (A/s) : a2 (A) :...
4)
Given Variables:
L1 : 0.1 H
Determine the following:
a1 (A/s) :
a2 (A) :
a3 (A/s) :
a4 (A) :
a5 (A/s) :
a6 (A) :
a7 (A/s) :
a8 (A) :
Find the current i(t) in the circuit, when i(0)-1A and the voltage is as shown in the graph i(t) -att a2 for Os<t<1s for 1s<t<4s for 4 s<t<9s for 9 s <t i(t) ast + a6 8 vs(V) i(t) 1 2 3 5 6789t(s)
Find all integers x, y, 0 < x, y < n, that satisfy each of the...
Find all integers x, y, 0 < x, y < n, that satisfy each of the following pairs of congruences. If no solutions exist, explain why. (a) x + 5y = 3(mod n), and 4x + y = 1(mod n), for n = 8. (b) 7x + 2y = 3(mod n), and 9x + 4y = 6(mod n), for n=5.
ㆍ 3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show...
ㆍ
3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show the following identities hold: R2 2 OO = Re = 1 +2 C-z ΣΑ. R2 - 2rR cos (-0)r2 coS n(-e) n=1
5. Let f,lr)- x *a. Show that {h} converges uniformly to 0 on [0, a] for...
5. Let f,lr)- x *a. Show that {h} converges uniformly to 0 on [0, a] for any a, 0 < a < 1. b. Does {f,) converge uniformly on [0, 1]?
Solve the heat equation 4,0 < x < 3,1 > 0 kou det u(0, 1) =...
Solve the heat equation 4,0 < x < 3,1 > 0 kou det u(0, 1) = 0, u(3,t) = 0,1 > 0 S2, 0<x< } u(x,0) = { 10, { <x<3 are the eigenfunctions You will need to apply separation of variables to obtain a family of product solutions un(x, t) = x (x)Ty(t) where X of a Sturm-Liouville problem with eigenvalues an (as in Section 12.1). Using the explicit expressions for un(x, t) gives (8,0) = ŠA, n=0 Then...
float useless(A){ n = A.length; if (n==1) { return A[@]; let A1,A2 be arrays of size n/2 for (i=0; i <= (n/2)-1; i++){ A1[i] = A[i]; A2[i] = A[n/2 + i]; for (i=0; i<=(n/2)-1; i++){ for (j=i+1; j<= (n/2)-1; j++){ if (A1[i] == A2[j]) A2[j] = 0; b1 = useless(A1); b2 = useless (A2); return max(b1,b2); What is the asymptotic upper bound of the code above?
solve 3.44 by strong induction
Statement 3.44. Let a = 1, az = 3, and for each natural number greater than 2 define an = an-1 + an-2. Then an < (7/4)" for all natural numbers n. Statement 3.45. Let aj = 1, a2 = 2, a3 = 3, and define an = an-1 + for all 4 Thong on for all incN
Urgent!
Please mark all correct answers and find values of a1,a2,a3 and
b1,b2,b3.
(1 point) The second order equation 3x2y" + 5xy' +(-1x – 1)y = 0 has a regular singular point at x = 0, and therefore has a series solution DO (x) = ± x"+". N=0 The recurrence relation for the coefficients can be written in the form n=1,2,.... C =( ),-1) (The answer is a function of n and r.) The general solution can be written in...
Urgent!!!
Please show all the answers and clearly mark them and please
show values of a1,a2,a3,a4,a5 and b1-b6.
Thank you!
(1 point) The second order equation x2y" + xy + (x2 - y = 0 has a regular singular point at x = 0, and therefore has a series solution y(x) = Σ C+*+r N=0 The recurrence relation for the coefficients can be written in the form of C.-2, n = 2,3,.... Ch =( (The answer is a function of...
Urgent!!
Please label all the answers and find a1,a2,a3 and b1,b2,b3.
(1 point) The second order equation x2y" - (x – ķ) y = 0 has a regular singular point at x = 0, and therefore has a series solutio y(x) = Σ CnN+r n=0 The recurrence relation for the coefficients can be written in the form Cn =( DCn-1, n = 1,2, ..., (The answer is a function of n and r.) The general solution can be written in...
4)
Given Variables:
L1 : 0.1 H
Determine the following:
a1 (A/s) :
a2 (A) :
a3 (A/s) :
a4 (A) :
a5 (A/s) :
a6 (A) :
a7 (A/s) :
a8 (A) :
Find the current i(t) in the circuit, when i(0)-1A and the voltage is as shown in the graph i(t) -att a2 for Os<t<1s for 1s<t<4s for 4 s<t<9s for 9 s <t i(t) ast + a6 8 vs(V) i(t) 1 2 3 5 6789t(s)
Find all integers x, y, 0 < x, y < n, that satisfy each of the following pairs of congruences. If no solutions exist, explain why. (a) x + 5y = 3(mod n), and 4x + y = 1(mod n), for n = 8. (b) 7x + 2y = 3(mod n), and 9x + 4y = 6(mod n), for n=5.
ㆍ
3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show the following identities hold: R2 2 OO = Re = 1 +2 C-z ΣΑ. R2 - 2rR cos (-0)r2 coS n(-e) n=1
5. Let f,lr)- x *a. Show that {h} converges uniformly to 0 on [0, a] for any a, 0 < a < 1. b. Does {f,) converge uniformly on [0, 1]?
Solve the heat equation 4,0 < x < 3,1 > 0 kou det u(0, 1) = 0, u(3,t) = 0,1 > 0 S2, 0<x< } u(x,0) = { 10, { <x<3 are the eigenfunctions You will need to apply separation of variables to obtain a family of product solutions un(x, t) = x (x)Ty(t) where X of a Sturm-Liouville problem with eigenvalues an (as in Section 12.1). Using the explicit expressions for un(x, t) gives (8,0) = ŠA, n=0 Then...
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