27.12. There can be asymptotic normality even if there are no moments at all. Construct a simple example.

Q: Q1.B. if λ-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: Q3/ find the Fourier series for the following function. F (t) = C 0<t<2 2<t<4

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Q: 4 - Investigate Interaction of Two Planes Plot the following and their normal vectors. 2x-2y + 2z =…

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Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

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Q: Which of the following must be true in order to use the laws of logarithms in order to simplify…

A: Sol Log is written as :-logab So, in order to use law of logarithm , in order to simplify expression…

Q: For the function f(z) = a pole of order 1 an essential singularity a pole of order 0 a removable…

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Q: Region B: Computing the integral of the function f (x, y) = (x + y) cos (x + y), with a triangle…

A: Two point form of the equation x1,y1 and(x2,y2) is  y-y1=y2-y1x2-x1(x-x1)

Q: 4) Use Stokes theorem to evaluate SF.dr, where с F(x, y, z) = <.xy, yz, *x), where C is the triangle…

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Q: 元 25+3 (5+4 }

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Q: The Newton Raphson method is also called as O Secant method O Tangent method O Chord method O…

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Q: Find all points of intersection of the given curves. (Assume 0- enter POLE in the first answer…

A: Use the following formulae, to obtain the solution.…

Q: 5-s s² + 4s-5 (A) Find L¹(F(s)}, knowing that: F(s)=- DA

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Q: 4. The dimension of space of all 7-by-7 skew-symmetric real matrices has a dimension (a) 28 (b) 21…

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Q: #m #2 15.37 at infinity. (2-a)(z-b)(z-c) Find the residue of TOP

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Q: 4. What is the z-transform of the signal x(n)-na"u(n)? (az)-1 (1-(az)-1)2 (a) az-1 (b) (1-(az)-1)2…

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Q: 6. To identify 3 x 3 matrix Abr fis positive definite if and only if cfr r> 0, r²- ab >0 and 4>0. O…

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Q: Use appropriate substitution to solve the differential equation dy 2x + y - 2+ dx 1 4x + 2y > y =…

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Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8² +45-23) (8²+45+13)³…

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Q: If f(x)=ln(x) and x,-3.1, x₁-3.2, x-3.16, then the error bound in Lagrange interpolating polynomial…

A: Given the function is fx=lnx and x0=3.1, x1=3.2, x=3.16

Q: 4) L'{ + } હ ર (+)4

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Q: Plot the following and their normal vectors. |2x -2y + 2z = 15 3x - 3y + 3z = -13 Describe the…

A: Normal to the plane ax + by + cz =d is n→=a,b,c As angle between planes as angle between there…

Q: 15- Let X-G(p) with mean 5 and standard deviation 3, then (a) p = ²/ (c) p = ²/ (b) p = ² (d) p = a…

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Q: E increasing (c) Determine the open intervals on which f is increasing, decreasing, or constant.…

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Q: Q3.B. Find a general solution of the following y" - 4y' + 4y = 3sin(2t) differential equation using…

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Q: Refer to the following normal curve, with mean μ and standard deviation o. What is the approximate…

A: Solution :-

Q: Determine the distance y measured from the x axis to the centroid of the area of the triangle shown…

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Q: Given three polynomials over 2₂. find (i) (ii) f(x) + g(x). f(x)h(x). f(x) = 6x³-5x² + 2x - 4, g(x)…

A: Please see the attachment

Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

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Q: Given d'y dx² = 6x-0.5x², y(0) = 0, y(12)=0, Use step size h = 4, z1 = 20, and z2 = 25. Enter 4…

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

A: Sol

Q: Q1) A: Find the value of K in the following linear system which is m solution failure Kx+3y=6,…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min 2 How…

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Q: Item 1. Use the long cut procedure of McLaurin series of expansion in determining the power series…

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Q: 4. Art. a. A sculpture has a hyperbolic cross section (see figure). Write an equation that models…

A: Please see the attachment

Q: 12

A: The inverse of matrix A is written as A-1 so that  A A-1 = A-1 A =

Q: The cost of mailing a package weighing up to, but not including, 1 pound is $2.80. Each additional…

A: For a decimal number, the greatest integer function always returns the whole number that is to the…

Q: The owner of an apple orchard has field of new trees that are growing and producing more apples each…

A: We need to use the formula: g=a·b to determine the average growth rate.

Q: Use the formula {t"f(t)} (s) = ( − 1)n- dn dsn (a) L{t cos bt} s bt} (b) {1² cos (L{f}(s)) to help…

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Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: For the initial-value problem: y = y-t²+1, 0≤ t ≤ 2, y(0) = 0.5, h = 0. 1, N is equal to --- 20 O 5…

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Q: Warning: You need to put together everything you have practiced and learned about Laplace…

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Q: Q3./ Solve the following simultaneous ODE, y₁ = -3y₁+ y2 y2 = Y₁ - 3y2 У1

A: The solution is given as

Q: A sprinkler system shoots a stream of water that follows a parabolic path. The nozzle is fastened at…

A: Given that Nozzle is at origin and the stream of water follows a parabolic path. Water reaches a…

Q: Using Midpoint Method, calculate y for the following: h = 0.1 y – xy² = 0, y (0) = 1, The solution…

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Q: Locate the centroid of the shaded area shown. 1m 1m y=x² X

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Q: To approximate y(2.75) for the following initial-value problem: ý = y + t²,1 ≤ t ≤ 3, y(1) = 2, the…

A: Given the initial value problem: y'=y+t2Where 1≤t≤3 Also the initial conditions are given as,  y1=2,…

Q: Find the determinants of the given matrix below. 7 4 9 -2 12 −1 2 5 -4 7 3 -91 4 5 31

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Q: Q3): Find the Laplace transform of (u²-u+e") du.

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Q: (a.V)a= Va²-ax (Vxa)

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