The general solution to the IVP: y"' + y' = 2 e', y(0O) = 0, y'(0) = 1,y"(0) = – 1 Select one: a. NOTA b. y = sin(t) + cos(t)+ e' – 1 С. y = 2sin(t) – cos(t) + e' – 1 d. y = sin(t) – 2cos(t) + e' + 1 е. y = e'

Q: Suppose x E R and ĩ is the nearest machine number, stored in binary64. If x > 254, why is there no…

A:

Q: 1. Evaluate the integral using the methods of complex functions: cos no do 1– 2a cos 0 +a where a is…

A: According to the given information, it is required to evaluate the integral.

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A: We need to tell who amongst A and B is a knight. There are 4 cases possible: A and B both are…

Q: For what values of a does the system below have nontrivial solutions? x+ 2y – 3z=0 4x +аy—12z-0 -3х…

A:

Q: 5. Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A: The solution is given as

Q: Question I: We assume the classical case Poisson/Gamma. We have: Se =0- Poisson(0) eGamma(a, A)…

A: Given,  St|θ = θ ~ Poisson(θ)θ ~ Gamma(α,λ) P(St = x| θ=0) = e-θ θxx! x =0,1,2... The pdf of θ,…

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A:

Q: The join of two zero-one matrices A and B is described as AAB= [aij ^ bij] AvB = [aij ^ bij] AvB=…

A: Given A and B be two zero-one matrices. To find the join of A and B : Let A=aij and B=bij be m×n…

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A: Let the values for strawberry = x Given that Carli values strawberry and banana equally then values…

Q: Find the solution of the initial-value problem. [y " – 3y " -y'+ 3y=0,y(0) = -5,y '(0) = 3,y "(0)…

A:

Q: Which of the following gives the correct matrix for this system of equations in reduced row echelon…

A: Reduced row echelon form

Q: Let Z1, Z2, Z3, Z4 be independent standard normal distributions. The variance of the random variable…

A: The normal distributions have standard deviations of 1. Therefore the distribution given by:…

Q: A 20-ft by 30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals,…

A: 0510152025300245678852457898102468101210152345687202222344

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A: The given statement is TRUE The intermediate value theorem basically says that a continuous function…

Q: (4) Find the -periockic points and detorimme their sta. stakliny of hu)=EX %3D

A: 4) Given: h(x)=1-x3x+1 Determine the periodic point by substituting h(x)=x.…

Q: 9. (a) Use the method of Lagrange multipliers to determine the minimum and maximu values of f(x, y)…

A:

Q: Problem 1. Find the general solution and express it in both complex- and real-valued form. a' = -3x…

A: given equation x'=-3x+2yy'=-x-y claim- find the general solution and express it in both complex and…

Q: Question 6.1: Given a 3x4 matrix (3 1 H = 1 1 0 4 -1. Find the matrix P and Q such that PHQ = A,…

A: Given matrix is, H=31-201103042-1 For finding P and Q we can write the given matrix as, H=I3HI4

Q: Give the solution set to the system of equations 5х — Зу + 2г--9 -4 x+ 2y – 2z=6 -2x+y -z=3 a) O…

A: Option f is true , None of the above.

Q: Q 2: For which values of "p" does the system have a unique solution and for which pairs of values…

A:

Q: Use the simplex method and the Duality Principle to solve the following minimum problem: C =z, +4zz…

A: According to duality in linear programming , for every linear programming problem there always exist…

Q: Consider the DE: (1+ x)y"-2xy'- 4y 0 The recurrence formula for the coefficients a , of the power…

A: Let y=∑n=0∞anxn be the solution of 1+xy"-2xy'-4y=0 y'=∑n=1∞nanxn-1,   y"=∑n=2∞nn-1anxn-2

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A:

Q: Given that the reciprocal of a real number x is a real number y such xy = 1. Rewrite each of the…

A: The given propositions are a Every nonzero real number has a reciprocal.b There is a real number…

Q: Calculate and explain their similarities

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Q: Multiply. (w-1)(w+5)

A: We have to multiply  (w-1) (w+5).

Q: Give the solution set to the system of equations 4x +y – 2z=2 -4 x – 2y + 2z-1 -2x-y +z=-1 a) The…

A:

Q: Scores on the GRE (Graduate Record Examination) are normally distribute with a mean of 562 and a…

A: Given that,  68-95-99.7 rule plot or Empirical plot:

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Q: 5x-2x-19 Express in partial fractions. (x+3)(x-1)"

A: 5x2-2x-19x+3x-12 The form of the partial fraction is, 5x2-2x-19x+3x-12=Ax+3+Bx-1+Cx-12    →1 On…

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.