Apply the operator Z to the normalized state of #1 and verify whether the new state is normalized. Q#1 Normalize the state: 14>= (1-2i) 1 0 > - 2i 11 > (1-21) A#1 Normalized State: 10> - [1> V5 2i 5

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: Evaluate: [3. 3x sec² (³) dr = [

A:

Q: For function i, i(x+4)=3x+1. Find i(-1)

A: Given function is

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: Find Absolute Max and Min: f(x) = x2 – 2x On [0, 1] Ab. Max = when x= Ab. Min = when x=

A: For the given  f(x) = x2-2x3 at [0,1] Absolute maxima and absolute minima is calculated as shown…

Q: e) k(x) = (2x-1) ³x

A:

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: Find the domain of the square root function: w(x) = Vx + 25 x > 25 (-0, –25] [-25, о0) (-0, –5) U…

A:

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: If the dependent variable goes up when the independent variable is increased this is a(n)

A: If the dependent variable goes up when the independent variable is increase, this is an estimating…

Q: In Exercises 29-32, (a) does the equation Ax = 0 have a nontriv- ial solution and (b) does the…

A: Introduction: Pivots in a matrix; Any row that does not contain only zeros its first non zero…

Q: Find the natural spline for the data: x0 = 0, x1 = 1, x2 = 2, and f(x0) = 1.2, f(x1) = 1.3, f(x2) =…

A:

Q: Determine whether the pairs of the functions are linearly inde- pendent or linearly dependent on the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative