Q4: Let X be a discrete random variable with probability mass function given in the following table: X 1 2 3 4 6 P(X) C 2C 3C 3C 5C Find 1- Value of C. 2- Probability mass function describing the distribution of X. 3- Cumulative distribution function. 4- Mean and variance. 5- Standard deviation.

Q: State the order of the given ordinary differential equation. cosh(4/y) - 5ln(18y)y" = 2cos(5yx) -…

A: Given: cosh(4/y)-5ln(18y)y''=2cos(5yx)-y12y'+4x To find: Order of given differential equation.

Q: 20 j ΣΣ (2k + 3) = j=5 k=0 = 2n+3 Σ (n + 5k)3 k=0 first step 2nd step final answer first step and

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Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: 7) A tumor is found with an initial mass of 3.5 grams. Its growth rate is measured and recorded in…

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Q: 3. Find a vector space basis for the following field field extensions: (a) Q(√2, √2) over Q. I

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Q: 3 By direct partial integration, Solve the following PDES 8- Xx²z 5 4 4 JZ = 0, Z(X₂0) = x² + x, Z…

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Q: 2. Write the equation x+ex = cos x as three different root finding problems g₁ (x), g₂(x) and g(x).…

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Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π<x<π

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Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

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Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: classify the following PDES :- - 227 827 -2 +2 82 дуг =x+3y дх2 ахду 2 2 от Ихх - 2ху Иху +у Иуу -…

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Q: Let Xis Hilber @ 1| + |1

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Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

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Q: 3 By direct partial integration, Solve the following PDES 8- X²Z 4 + dz ४५ =0 , Z(X₂0) = X²+X, z…

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Q: js(x) dx = (b-a) [ƒ(a) + f(b) -a) [¹ 2

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Q: 5.) m<s

A: This is a problem of angular measurement and finite math.

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Q: b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica] i).…

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Q: Find the volume of the solid that esults when the shaded region is evolved about the indicated axis.…

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Q: 5 By Separation of variables, Solve the following PDES :- ²4 J² ● dt² dx² 0 o u(e,t) = u(s, t) =6…

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Q: Jff v² av where D is the tetrahedron in the first octant bounded by the coordinate planes and the…

A: Let us consider the given integral I=∫ab∫f(x)g(x)∫p(x,y)q(x,y)F(x,y,z)dzdydx To solve the triple…

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Q: eigenvalues and eigenvectors a) Solve the following differential equations: x₁ = y1+3y2 y₂ = 4y1+5y2…

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Q: 5√2 x Evaluate the integral ² cos ²0+2²) r do dr dz. 000 The value is (Type an exact answer, using x…

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Q: Consider the following Gauss-Jordan reduction: 1 0 00 100 00 EH 56 70 70 ---- 00 1 00 0 1 0 =1 001…

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Q: QUESTION 1 It is given that the radius of the semicircle increases at the rate of 0.5 cms¹ when…

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Q: Find the general Solution of the following PDES -X • з Их + 2 Иу =0 U (x,0) = = 4 é 2 (3y-2x)/2 ans…

A: The given PDE is                        3ux+2uy=0, u(x,0)=4e-x To solve this PDE we shall use the…

Q: Q3 The boundary value problem governing the deflection of a beam of length three meters is given by…

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Q: The following problem involves an equation of the form = f(y). dy dt Sketch the graph of f(y) versus…

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Q: Solve

A: find the value of x,y,z

Q: Let F(x,y)=√√y-x, then answer the following ( (1) Find the function's domain (2) Find the function's…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Q.2 Check whether the following system given by its characteristic equation is stable or not and…

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Q: fx) 0< x< n n < x < 2n < +2 Interval: 0<x<2*

A: Given function is fx=xπ,          0&lt;x&lt;π−xπ+2,  0&lt;x&lt;2π. We have to find the Fourier…

Q: X(z)= 22-1 1-3z¹+z²+52-3

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Q: 7. The coin is tossed twice. Which of the following is the correct representation of the sample…

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Q: True or false. Justify your answer.

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: what is the vertical intercept of (1,750) and (2,562.5)

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Q: c). Evaluate √√x² + y² ds along the curve r(t) = (4 cost)i + (4 sint)j +3tk, -2x≤t≤2π.

A: We solve the given line integral.

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money, but…

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Q: Consider the following two player bi-matrix game 19 6 19 1 -10 21 A = B = 0 7 12 6 14 16 2 -9 a)…

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Q: that does not find a taxi wait

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Q: • show that (x, y, z) = 8²4 PDE : 2²4 dx2 дуг + 2 x² + y² + z² = 0 8²4 1 dz² satisfies the

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Q: x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2,…

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Q: = 3. Find the pointwise limit g of the sequence {n} on I = [0, 0), where gn(x) = the E-definition…

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Q: 3 By direct partial integration, Solve the following PDES - 8²u = cox cosy, u(x₂#) = X Ult, y) 2 2…

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Q: Find the general Solution of the following PDES • 3 Их + 2 Иу SO > u(x,c) = чех (3У-2х)12 ans3-…

A: Given partial differential equations are , (.)    3ux+2uy = 0   ;    u(x,0) = 4e-x (.)…

Q: 5 Solve the differential equation (7-1) + x² ) dx + (1=x√x) dy=0

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Q: a. S f (x² - 2x + 1) e²x dx

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Q: Prove that every finite Abelian group can be expressed as the (external) direct product of cyclic…

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