21. A die is rolled. What is the probability of getting a. an even number or a 3? b. an odd number or a 4? C. an even number or a 1?

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A: Given information f1=2f'1=−1g1=0g'1=1 And function is Fx=fx⋅coscosgx Now, differentiate…

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A: Is Property 2 of the definition of a probability density function over the given interval now​…

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Q: th Write an expression for the n " term of the sequence. 1 20) 1, 1 1 -- 6. 1.3 1-3.5 1.3.5.7

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Q: Solve the system by elimination. If the system is inconsistent or has dependent equations, say so.…

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Q: 4. Giving a precise mathematical description of natural phenomenon can be quite difficult. It is…

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Q: Find the polar coordinates for the point whose rectangular coordinates are (-6, -8). Given the polar…

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Q: Give a counterexample to show that the statement For all sets A, B and C, if A⊈BandB⊈C,thenA⊈C.…

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Q: Let W=Fcw)+9(v) where u= Xtiy and V=X-iy, show that w Satis fies the Laplace egr Wxxt Wyy=o…

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Q: Q3. Construct 5 spanning trees for the graph G below. a a' d d'

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Q: System Realization 20. Draw a cascade-form block diagram for each of these system transfer…

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Q: A) Elena visits the Leaning Tower of Pisa. she still has to climb 56 hail, of the 300 that allow it…

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Q: Find the solution the initial value problem x' 1 -13 |x, 1 -3 () x(0) = x = Describe the behavior of…

A: Given x'=1-131-3x,  x0=11

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A: Interval of converges of the power series.

Q: Is -3 a multiplicative inverse of 17 mod 26? Show all workings.

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Q: Subject: Advance math Topic: Matrix Solve the following system of equation using Gaussian…

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Q: (x² + 1)cos x x4 -x + 2

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Q: Find the solution. Auxiliary equation and general solution y'= 1 + 3ytanx

A: First order linear differential equation.

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Q: Evaluate the given integral by making an appropriate change of variables. 9X - 3y бх — у dA, where R…

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Q: find a homogeneous linear system of two equations in three unknowns whose equation in three unknowns…

A: For the solution of the problem follow the next step.

Q: a b d f i a) Find an edge e that can be added to G to make it an Eulerian graph. (b) Find a cycle…

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Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: It is known that f(1) = 2, f'(1) = -1, g(1) = 0, and g'(1) = 1. If F(x) = f(x) cos cos (g(x) ), then…

A: Given that f1=2, f'1=−1, g1=0 and g'1=1 And given function is Fx=fx⋅coscosgx. We have to find the…

Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t…

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Q: Simplify using the Logical Equivalence Laws or Algebra of Propositions 20. ~((Q v (P ^ Q)) ^ (P ^…

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Q: 1. (a) ( Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation.…

A: Given function fx=lnx Taylor series for fx about a for a>0 is  fx=fa+x-af'a+x-a22!f''a+… Now,…

Q: Let   A = {1, 2, 3, 4, 5},   B = {2, 4, 6, 8}   and     C = {1, 3, 5, 6, 7} For each of the…

A: Given A = {1, 2, 3, 4, 5},   B = {2, 4, 6, 8}   and     C = {1, 3, 5, 6, 7}

Q: 1. How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n >…

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Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Let 2 8 -1 -6 4 1 7 A = -1 -4 1 7 1 -1 7 8. The matrix 1 0 4 1 5 1 1 3 9. U = 0 0 6. 1 8 0 0 1 7 is…

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Q: A design studio received a loan of $260,000 at 3.6% compounded monthly to use as working capital for…

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Q: Let S be a linear transformation from R? to R? with associated matrix A- [, Let T be a linear…

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Q: 3. 12. f(г) - 4 - х

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Q: Consider the differential equation: (a cos y)dy+(x+3r sin y)dx=0. (a) Show that this differential…

A: Given differential equation is x4cosydy+x+3x3sinydx=0......1. Equation 1 can be written as follows…

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Q: Consider a function f(t). It is known that it satisfies the following conditions: f"(t) = f(t), f(1)…

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Q: 55. Batting Orders The manager of a Little League baseball team has picked the nine starting players…

A: Here the manager of a Little League baseball team has picked the nine starting players for a game.

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: Problem No.5 0 0 0 1 0 0 0 1 0 If 1 A= 0 Calculate the products AB and BA and show that A? B + B² A…

A: Given,A = 010001000 , B  = 000100010