Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and variance of x.

Q: nan = 2 ,nb, = 0. Determine whether the following converges or diverg or no conclusion can be made.…

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Q: x+1

A: Option D is correct answer

Q: Minimize c = 43x + 43y + 11z subject to 2x + z 2 3 2x + y - z 2 2 3x + y - zs 3 x 2 0, y 2 0, z 2 0.…

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Q: If it cost $8 to fill a gas tank in 1980, how much would it have cost to fill the same tank in 1990?…

A: As per average gasoline price data given in the question , price  index for average gasoline  price…

Q: 15–20 Identify the surface whose equation is given. 15. z = 4 – r² 16. p sin ø = 2 17. r = 2 cos 0…

A: Since there are multiple questions. We will solve the first one, resubmit the question and mention…

Q: Let G be an undirected graph, with adjacency matrix 1 1 1 1 1 A = | 0 1 1 1 1 1 1 1 1 1 How many…

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Q: QUESTION 3 Let E be the region in the first octant contained below the plane z=3 and above the cone…

A: We will find integral in all 3 co ordinate system and then compare .

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 6(t-) + o(t -). v(0) =…

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Q: Prove that a conical tent of a given capacity will require the least amount of canvas when the…

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Q: Find the series solution of y"+ (1+x2)y=0 using the power series method.

A: Consider y=∑n=0∞anxn be the solution. Differentiate the expression of y to obtain the expressions of…

Q: Exercise 1: Consider the nonhomogeneous differential equation: y(o) y- 9y(4) = x³ + 2e¬3x (E)

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Q: For each set, draw it and explain whether or not it is a subspace of R {*ER? : =8 for some a e2 ez}.…

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Q: What does the index value of 338.9 in 1980 mean? Explain your reasoning. Average Gasoline Prices…

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Q: The following data represents the age of 30 lottery winners. 20 30 32 32 36 36 37 37 39 42 44 45 46…

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Q: 3. Let n be an integer greater than 2. Explain why n! +2, n! +3, n! +4, n! + (n – 1), n! +n are all…

A: We have to explain that n!+2, n!+3,…,n!+n-1,n!+n are all composite numbers.

Q: 1. Use Cramer's rule to solve the following systems x1 + 3x2 -5 а. 2x1 – x2 4 2.x1 + 3x2 + x3 b.…

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Q: he following table gives the approximate increase in dollars in the average price of a domino set…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: QUESTION 5 Which of the following surfaces cannot be described by setting a spherical variable equal…

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Q: 2. Show that any subset of a countable set is countable. 3. Show that a nonempty set S is countable…

A: Hence any subset of a countable set is countable.

Q: Using Lagrange's formula, find f(1.3) 1 У 1 -1

A: The value of table for x and y x -1 0 1 2 y 1 -1 -1 1

Q: Question five Find solution using Two-Phase method. Maximize Z = 3X1 + 2X2 + 2X3 subject to the…

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Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

Q: Find the area. Use 3.14 for n. (Assume h = 0.8 m, and w = 2 m.) m2

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Q: 4. Let f(x) = { x/² sin ; (x+ 0) 0; (x = 0) i Calculate f'(0) using the definition. Hint see…

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Q: 24. From a bag containing 5 blue balls, 3 yellow balls, and 2 balls, 1 ball is drawn. Find the…

A: Probability of the section

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

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Q: The angular velocity vector, ω, can be obtained by adding all components of the angular velocities…

A: Given, Angular velocity vectorω as the addition of all angular velocities. To find: To choose the…

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm². What…

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Q: Suppose that B and C are ordered bases of R. Find the conversion matrix from B to C.

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Q: Minimize and Marhnize ニ= 30y + 20y スx+ yZ 3ue * +y Z 28 メ+2y2 32 Suljeat to

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Q: Heights (in inches) obtained by a group of people in a random survey are reported in the following…

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Q: QUESTION 4 Suppose you are using a triple integral in spherical coordinates to find the volume of…

A: Here we find the range of spherical coordinates.

Q: 2. Consider the phenomenon of radioactive decay which, from experimentation, we know behaves…

A: Given: A radio active decay with  t=time r(t)= amount of particular radioactive isotope present at…

Q: QUESTION 1 Which of the following is a correct conversion formula when changing from spherical to…

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

Q: Q) fınd Fourier series on [0,27] (1) ƒ(x)=r- x (2) ƒ(x)=sinx (3) ƒ(x)=cos x (4) ƒ(x)=xsin x (5)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: True or False. Justify your answer. Since we have sin(a+y)= sin(z) + sin(y), the function sin(r) is…

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Q: (0) Develop a tree-month moving average for this time series. Compute MSE and a forecast for month…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: A s(1) = e-7" sin(8 1) () = e" sin(3 1) © s(1) = e3 sin(7 1) Os() = e-5 cos(71) D

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Q: 3)3 differant radical #'s rany is the set of all real #'s greater than o

A: Let us give three different examples of radical numbers in the next step.

Q: Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may…

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Q: Construct the difference table and find the polynomial that fits the set of points (0, 5), (1, 6),…

A: Introduction: Divided differences is a mathematical algorithm that has historically been used to…

Q: x - 4y 10. dA, where R is the parallelogram enclosed by the lines x – 4y = 0, x - 3x - y

A: Given, the integral                   ∫∫R10x-4y3x-ydA Where R is a parallelogram enclosed by the…

Q: The equilibrium value for the dynamical system an+1 = ran +b, r# 1 D a = b (1 – r) O a = (I-r) Da =

A: Given an+1 = ran + b,  r≠1

Q: 5. Find the value of o(e) for a solution o(x) to the initial value problem: a?y"-xy' + y = 4x ln x;…

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Q: A = and let Tg be a matrix transformation with standard matrix 1 2 B = 3 4 f the standard matrix of…

A: Given  TA  be the matrix transformation with standard matrix    A = 0110 and TB be the matrix…

Q: Ryan usually bikes at an average rate of 12 miles per hour (mph). How long does it take him to bike…

A: Since you have asked a question with multiple sub parts we will solve the first three subparts for…

Q: Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may…

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Q: 3 Show that the series E: is convergent and find its sum. (n+3)(n+4) n-1

A: Simplify the general term of the given series.…

Q: ove the following: 1. FT(f(ax)) = F(=) a

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Q: 6. Sometimes an isoparametric map is used for tringle elements. In that case, the reference element…

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