Multiple Choice A fair coin is tossed three times. The random variable X is defined to be 2h, where h is the number of flips that come up heads. For example, X(HHT) = 22. What is E[X]? 2 27/8 3/2 O 1

Q: Find the minimum number of edges to be removed to make it a hamiltonian graph. Mark the edge/s to be...

A: Hamiltonian graph:

Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A:  rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now   tanθ=ba=0-5=...

Q: Find all the basic solutions of the given system 2x, + 3x, + x, +4x4 = 6 X, +2x, + 2x3 + 2x, =3

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Q: Solve using the variation of parameters d'y/dx3 + dy/dx = 1/Sqr(1-cos?x)

A: We have the following non-homogeneous differential equation : y''' + y' = 1/√(1-cos2x) = 1/sin(x) = ...

Q: Solve graphically the dual of the LLP Minimise: z=4w; +6w,+5w,-W4 Sub. to w, +w,23 W, +W; –W42-2 W;,...

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Q: Solve the following differential equation ý +y= , y(0) = 0, y (0) = 1 sin sin cos1 + ain 3 sin t y()...

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Q: Given the following probability distribution:      X      P(X)      10    0.3      20    0.1    ...

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Q: dy dx Solve the differential equation x+7y = x°.

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Q: Solve using the variation of parameters d°y/dx3 + dy/dx = 1/Sqr(1-cos?x)

A: The solution is given as  

Q: For the following fumitien, fete mine if the G,g), an d if jer in what egree š it? O f(x,y)=2]+y? -3

A: In this question, concept of homogeneous function is applied. Homogeneous Function A homogeneous fun...

Q: Show that each non-zero element of an integral domain , regarded as a member of the additive group o...

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Q: (1,1) Evaluate Joo) (3x + 4xy + ix) dx along y =x

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...

Q: 3. Consider the function f(r) = 4arctan r, r E R. (a) Find the 4th Taylor polynomial for f(r) about ...

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Q: If p, q and r are all TRUE statements, which of the following is FALSE? ~ (р^q) —т a. O b. ~pHN (q V...

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Q: The function in the graph is: O even function

A: To determine whether the function given in graph is an even function, odd function, or neither.

Q: The graph of a quadratic function with vertex (-1,4) is shown in the figure below. Find the domain a...

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Q: 3.8.8 - Consider the eigenvalue problem y" + Ay = 0; y(0) = 0 y(1) = y'(1) (not a typo).; all its ei...

A: The given eigenvalue problem is: y''+λy=0, y0=0 and y1=y'1 All of the eigenvalues are non-negative. ...

Q: Your muscle car's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles ...

A: The given function is not clear. SO taking the function as follows  Mx=3000x+3600x-1 simplify  Mx=30...

Q: Let T E L(V, W). Prove that T is one to one if and only if T carries linearly independent subsets of...

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Q: [1 -1 0 2 Let A = 1 3 4 0 2 1 -1 We know that A can be decomposed as A = LU where L is lower 4 trian...

A: Given that A=LU  L is lower triangular and U is upper triangular matrix.      

Q: Let (X, E) be a measurable space and (En) be a sequence of pairwise disjoint sets in E. If, for each...

A: Given X,∑ is a measurable space and En  be a sequence of pairwise disjoint sets in ∑. Given f is mea...

Q: Let а — 3 1 2 A= 7 -1 8-a 2 6 а — 1 (a) Find det(A) by cofactor expansion with respect to the second...

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Q: Suppose that the function f is defined, for all real numbers, as follows. -1 if x#0 f(x)= - 2. if x ...

A: Graph of the function

Q: N - x 2) 3 students in a dormitory of 100 spread a rumor about the suspension of classes. After 2 mi...

A: Given:   Out of 100 students 3 student heard  about the suspension of classes.          In 2 minutes...

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her ...

A: The cost of driving a car depends on the number of miles, tells us the input to the function will be...

Q: Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0 <T. NOTE: Ro...

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Q: 3. Let the relation R on X = {1,3,5, 6, 8, 9, 11} be such that xRy means "x – y is a multiple of 3"....

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Q: 1. Select a law from the right to apply Laws Distributive (anb)v(a^c) = an(bvc) (avb)^(avc) = av(b^c...

A: In this question, propositional logic is applied. Propositional Logic All mathematical reasoning, as...

Q: Assume we have the following system of linear equation x1 + 4x2 = 5 x2 + 2x3 = 2 4x1 + 3x3 = 0 N...

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Q: 16. If S cT c R, where S # $ , then show that (i) If T is bounded above, then sup (ii) If T is bound...

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Q: Let p = 17 and d be a divisor of o(p). Determine (d) for each d. List each element having order d, f...

A: Given : p=17 and d is a divisor of ϕp To find : ψd for each d and list each element having order d, ...

Q: x = (A+B)(B+C) А в с х A X 1 1 1 1 1 1 1 1 1 1

A: Since you have posted multiple questions and we can answer one question. So answered question number...

Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the functio...

A: The possible degree of the function is 4,6,8.

Q: Try to handle noisy data using equal frequency bins ,bin means and bin boundries? 21,12,12,13,24,56,...

A: The given data is:

Q: Question: Solve the following differential equations. Note that the solution may be either a general...

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Q: 2. Consider the operation (*) defined on the set S = {1,2,3} by operation table :- 2 Show that the o...

A: Given that the operation (*) defined on a set S = {1,2,3} then  the operation (*) is associative if ...

Q: Ising lim a, =g AVA la, – gl0 6 n>6 What we read as A number g is a limit of an infinite sequence (a...

A: In the given question, concept of definition of limit is applied. Limits In mathematics, limits are ...

Q: / log, (x2) dx

A: According to the definition of the logarithm, if y=ax, then logay=x. The logarithm with base e is ca...

Q: T(n) = 5T([n/4]) + n (a) Determine a good asymptotic upper bound on the recurrence by the iteration ...

A: Given: T(n) = 5T([n/4])+ n

Q: If T is self-adjoint, then S*TS is self adjoint for all S; if S is invertible and S*TS is self-adjoi...

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Q: Given that at t=0, xo=4, yo=2, x1=0, yı=0. Q2) A function f(t) is defined by F(t)=4 for 0<t<2 =2t-3 ...

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Q: 2. From the following data, perform the required curve fitting: 3 7 21 4 6. 3 5 15 12 14 27 36 42 a....

A: To find- From the following data, perform the required curve fitting: Determine the equation of a ...

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X < 3...

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Q: Please don't copy find christofell symbol of ds²=y²sin²xdx²+ x²tany dy²

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Q: 1. Find the action sets of each player and the action profile of the game. 2. Represent the game in ...

A: Note: According to Bartleby we have to answer only the first three subparts please upload the questi...

Q: Is S3 abelian? Show your solutions on Identity and Inverse elements. 2. Let G be a group with exactl...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Consider the relation between hours of study and quiz grade for three different students. (i) Studen...

A: Given points are P1=(0,5)P2=(1,5)P3=(2,8)

Q: 2. Using exclusively induction, prove that, if X, X1, X2,..., X, are sets, then Xn(X, UX2 U..U Xn) =...

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Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple inte...

A: We need to find the simple interest owned Formula for simple interest is: SI=P×r×t

Q: a vertical translation up 1 unit's and a period of Write 2

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