[3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ? d² dx² d² [4] Find the eigenvalue for eikx, where ô =4²+² ? dx² [5] Let the a; be the series of odd integers, evaluate the following: 5 - Σαρ i=1 X = [6] let, and y = a₁ i=1 d ô = ª_,ĉ =6, Â =i- P dx Find the following terms: (1) P* (II) ĉo f (x) dx " B = (m) [7] Evaluate the following triple integral. d -, f(x) = 2x²y+y dy [6.B] (IV) [P+6]f(x) L²S₁² S²(x² + y² + z²) dx dy dz 0

Q: what is a negative minus a positive number

A: Let's find.

Q: Solve V8 - 3w = 4 www www www www ww www %3D wwww www

A: Isolate w to obtain its value.

Q: SOLVE THE EQUATION X = ex-1

A: The given equation is X=eX-1. Solve the equation. Here we use the formulas: lnab=blnalne=1

Q: Solve  5x =-5 3

A: Solve  5x =-5 3

Q: The square of a positive number plus seven times the number 540. Find the number

A:

Q: Solve for: ?^2 − ? − 6 ≤ 0

A:

Q: Find the value of the variable 4x = 28

A: Given: 4x=28

Q: Solve the following equation. 35x-4 = 6

A:

Q: Solve 2 +125=0

A:

Q: Solve for xx: 4x=23

A: use the basic operation of multiplication.

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

Q: Find the value of the variable 15-Z=0

A: The given equation is 15-z=0.

Q: Solve ex =-x

A:

Q: 42

A: We have to solve given equation for y.

Q: 4. Solve 6yx +2–12 = 18

A: Given : 6x+2 -12 =18

Q: Multiply the 1st equation by 2 to make -10y. 2x - 5y = -12 3x + 10y = 50

A:

Q: 4y+9=7y-12

A:

Q: V8x -23 + 18 = 25

A:

Q: olve ,  5x + 6y = 45 x + y = 5

A:

Q: ex² =e-5x-4

A: Given equation is ex2 = e-5x-4

Q: Compute 21200 mod 27.

A: