14. Calculate the variance of the following probability distribution function (pdf) for the discrete random variable X: X 1 2 3 P(X = x) 0.3 0.5 0.2

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Q: s) Solve the initial value problem y +10y +34y = 0 Solve the differential equation e2x dy dx y(0)-6,…

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Q: 2- Perform the following inverse Laplace transform using convolution theorem: 3s +1 C-1 2 Wind I S²…

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Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

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Q: Find the general and Singular Solution of the following differential equation P³(x+2y)+3 P² (x+y)+…

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Q: 9. If a projectivity from a point to itself fixes two lines through the point, then the projectivity…

A: True Statement.

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Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

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Q: E. Inverse of a Matrix II. Solve the following Given matrix G, 1. Find (1,3) entry of G-¹. 2. Find…

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Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

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Q: The 3 x 3 symmetric matrix A has eigenvalues 6, 3 and 2. The eigenvectors corresponding to the…

A: Problem is solved using concept of eigen values and eigen vector.

Q: A cylinder with a radius of 9 ft has a volume of approximately 3 1,271.7 ft. What is the height of…

A: Solution :  Volume of the cylinder is π*r^2 *h  where r is the radius and h is the height

Q: 1. A student listed 10 of his classmates' scores: 34, 42, 27, 34, 45, 32, 31, 44, 33, 31 a.…

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Q: 1. A circle centered at the origin goes to itself under inversion in the unit circle.

A: The statement is true.

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A: This is a question of the Differential equation.

Q: Q) Let 8= R and ZEfusR3Cup U23 Prove on R. or disprove that is a topology.

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Q: 1. Find the Inverse Laplace Transforms of the following. 2) 3s s²-4 2

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Q: 20.What is the value of n such that (24  is congruent to 58 mod n) ? a.13 b.17 c.-34 d.-13

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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Q: 5. Solve the system by using the matrix exponential 0 1 0 *-[2] + [2]· --[] x' = x x(1) = -3t 3

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Q: 1. Use a proof by cases to show that 10 is not the square of a positive integer. [Hint: Consider two…

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Q: 2 -s-3 3s-5 55-4 2s²-3- 1 s2-8s+25 예를 L-1[ 7s4

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Q: (4) 1. Let P(x) = "x is a good singer" and Q(x) = "x has appeared on The Voice." And the u.d. for x…

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