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: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

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: Compute x -1 where x =i +1 2.

A: topic- complex numbers

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: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

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: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: 2. In y = c+ C2*

A: We have to eliminate the arbitrary constants c1 and c2 from the equation lny=c1+c2x. This is…

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: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Find the function f(x) = interpolating the data {(0,2), (1, 1)}. %3D z+6

A: A detailed solution is given below.

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: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

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: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

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