Which of the following is a discrete random variable O length of time spent watching movies O volume of gas use in a household length of a bike number of butterflies in your backyard

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Q: S't45°+4

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Q: Use the Laplace transform to solve the initial value problem. 1. x' – 2y' = 1; x' +y – x = 0; x(0) =…

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Q: ie LAPIACE nstorm OT 1. f(t) = e-5t cosh(6t) – (9t)"/2 2. f(t) = t³ cos(5t) + cos(2at) cos (3at)

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Q: 0 3 2 5 1 0 0 2 a 7 The matrix A = has 2 4 0 0 b det (A) = 100 and trace(A) = 14. The value of a – b…

A: Let us consider the matrix A=aij The trace of the matrix is sum all the diagonal elements  In other…

Q: (a) Define the symbols ôf/DE and af/dz by af 1 (af 10f 2 (dr af 1 (of 18f i by, dz 2 dr' i dy as…

A: Since you have asked multiple questions, we will solve the Question (a) for you. If you want any…

Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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Q: (b) Find the z-transform of f(-÷)` ux given that Z{ux} z-1

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Q: Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C, which is a…

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Q: Write an equation for the function graphed below -6 -5 -4 -3 -2 i-1 2 4 5 -3- 14- 1-5- y = Check…

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Q: A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) :…

A: The given function is                            fx=xx    if x≠01       if x=0

Q: 2. f(x) = x – x + sin(x) – 1 Solve this question by the Fixed-point method on the topic of solution…

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Q: Find the solution. (D? - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 A y = e+e? 3x B y = e-e3 -3x y =…

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Q: 5. State

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Q: Simplify.Express answers as positive exponents.

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Q: Solve the following heat flow problem: 3uxx, 0< x < Tt, 0<t <∞ u(0, t) = u(nt, t) = 0,0 <t <o u(x,…

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Q: s'+ 45°+45 2

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Q: Which are the five roots of 1 in the complex domain? What are their natural logarithms?

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Q: If you want to earn 15% annual simple interest on an investment how much should you pay for a note…

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Q: Solve the following differential equations by linear method. dy + 2.xy = 0 dx 6.26. у - 3xу %3D0…

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Q: Check the continuity and differentiabilty of f (x) = |x − 1| + |x − 2| at x = 2.

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A: Given,uxx=utt-sin x , x∈0,1, t&gt;0Boundary conditions: u(0,t)=ux(1,t)=0 , t&gt;0…

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Q: he surface al derivative

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Q: 19. Prove that Edin H(d) log" d = 0 if m 1 and n has more than m distinct prime factors. (Hint: use…

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Q: Consider a positive integer n. Assume that the equation a + 17b + 17c = n has 6903 ordered solutions…

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Q: 1 4 х +1

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Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

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Q: Use spherical coordinates. (a) Find the volume of the solid that lies above the cone o = n/3 and…

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Q: Calculate R5 for f(x) = 4x² + 6x over [-1, 1]. (Give an exact answer. Use symbolic notation and…

A: Given f(x)=4x2+6x over [-1,1]. We find R5.

Q: Graphs K1 K2 d. K3 Euler path for K1: • Euler path for K: Euler path for K3: ..

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Q: Find the solution. y- y xy1/2 By -(3r-2- a,- © y-c3r-24½,:

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