Q3: 2 0 0 Consider the Hamiltonian is H= 0 -1 6i 4 0 -2) (a) Is the state 32i the eigenstate of the Hamiltonian H? Show your work. (b) Calculate (|H |ø)

Q: Find a basis for R³ that includes the vectors (-1,0,2) and (0, 1, 1).

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Q: 1- Solve the following systems linear differential equations (by elimination) dx = -9y, (a) dt dy = ...

A: (a)Given that, dxdt=-9ydydt=-4x Now we solve this system.  

Q: 2. Solve the system of congruence 3x +7y = 10 ( mod 16) 5x+2y 9( mod 16).

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Q: Consider the function f : [0, 0) → [0, ∞0), f(x) = x + 1 Prove by induction that for any n E N f"(x)...

A: The aim is to show that for any n∈ℕ, fnx=x1+nx. Proof is by the method of mathematical induction. Si...

Q: 2 Suppose V is finite-dimensional and dim V > 1. Prove that the set of noninvertible operators on V ...

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Q: b. (10M) Find all asymptotes of the function x2 - x+ 1 y = - x- 1

A: We will use the basic knowledge of the theory of asymptotes to answer this simple question.

Q: Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or neith...

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Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle be...

Q: a. Write the equation for the revenue, R, the company will earn as a function of the length, x, of t...

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Q: Objective: Construct a probability distribution and use it to find the expected value of the game. I...

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Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies %3D the following conditions: y...

A: We have,y(x)=C1sinx+C2cosx    .........(1)y(0)=1  and y'(π)=2

Q: A = 3 2 4 5 -2 4 | -3

A: Solution

Q: Q2: Solve the following differential equation by using Laplace transform y +y = sin2t ,y(0) = 0

A: The given differential equation is: y'+y=sin 2t Take Laplace transform both sides of the equation: L...

Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –...

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Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y = sin(x...

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: nd 7 towels for $19. Find the cost of the mug. mus bought a mug and 4 towels for $13. Joanne bought ...

A: Introduction: Linear equations are very significant in real life. Different real-life problems can b...

Q: Question 5: Find the winning strategy for a game of sprouts that starts with 5 dots.

A: We have to find the winning strategy for a game of sprouts that starts with 5 dots.

Q: 3. Use Gauss' theorem to evaluate IL (* + y + 2) do, where E is the surface of the ball x? + y? + z²...

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Q: Solve in 30 minute

A: We find the correct option.

Q: When monitoring the spread of disease, the population can be divided into three groups; the portion ...

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Q: Find the minimum and maximum values of z= 2x + 9y, if possible, for the following set of constraints...

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Q: The flow system shown in the figure is activated at time f=0. Let Q,(1) denote the amount of solute ...

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Q: Is the following statement necessarily true? Provide a proof or a counterexample. If h : A → B, g : ...

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Q: Kindly handwritten and correctly with explanation

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Q: X-2 +3t 9=1- 5t Ze 4+7t ? ans. d= o

A: The given question is related with the distance between a point and a line. Given a point P12 , 1 , ...

Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: uppose that X is a random the following p.d.f. , Find

A: In this question, the concept of integration is applied to find the value of the unknown. Integratio...

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

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Q: The graph of the equation 2x2 - 5y?+12x+ 20y+F=0 is either a hyperbola, a point or two intersecting ...

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Q: solve for x,  if possible, explain your result

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Q: 60 6-V-8 5. 6. 4 + V-25 -2

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Q: e. Write out the standard form a standard convex optimization problem and show that the feasible set...

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Q: Expand the function in a power series E anx" with center c = 0. Find a„x". n=0 (Express numbers in e...

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Q: How many different words with or without meaning can be formed with the letters of the word 'ORDINAT...

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Q: 7. Which of the following situations does NOT illustrate combination? a. Selecting two songs from 10...

A: ANSWER OF THIS QUESTION IS OPTION C.

Q: Solve the differential equation by using power series method? y" - x³y = 0

A: We have given differential equation, y'' - x3y = 0 Let , y = ∑n = 0∞anxn be a solution of differenti...

Q: Row reduce the given matrix to reduced row echelon form. T1.0: 2 1 3 3 -1 4 -1 0 4 1 Hence, solve th...

A: Multiply the first row by -2 and add with the second row to obtain 0 in the (2,1)-position. 2133-14...

Q: 3. A B 4. 3,2, Modus Ponens 5. BV C 6. BV ~ (~ C) 7.

A: Introduction: Apart from constructing a truth table, an argument can be deduced from its premises th...

Q: The general solution of the given differential equation y(4) – 6y"' + 25y" = 0 is y = C + C2x + C3x?...

A: The given differential equation is:y4-6y'''+25y''=0    ..........(1)Its' characteristic equation wil...

Q: Solve (2i - 3j) • [ (i + j - k) x (3i - k) ]

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Q: Find a Householder transformation P such that P [2, 1,1]T= k[1, 0, 0]T. Find the value of the consta...

A: To find Householder transformation P such that P211T=k100T. We know that a Householder transformatio...

Q: ers to th

A: In this question, the concept of Continuously compounding is applied. Continuously Compounding Conti...

Q: Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A correspo...

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Q: Find the radius of convergence of the following power series. n (x +3)" Z 5"(n² + 1) n=1

A: We can find the radius of convergence of the given series by ratio test. 

Q: 14. The diameter of a circular reservoir is 840 feet. To walk around the reservoir, you would walk a...

A: Introduction: The circumference of a circle is the total length of its boundary. Suppose, the radius...

Q: Simplify the following: 3+7i 1. (4 + 2i) + (–3 – 51) 2. (–3 + 4i) – (5+ 2i) in standard form 3. Writ...

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Q: Needed to be solve correctly in 10 minutes only please solve in 10 minutes and get thumbs up please ...

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Q: The flow system shown in the figure is activated at time t = 0. Let Q,(t) denote the amount of solut...

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Q: Find the corner point in the solution of the following system inequalities 2x + 3y < 20; x + y< 10.

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Evaluate: 5 • P(6,5)

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.