Determine the location of the centroid of the solid formed by revolving about the y-axis, the area bounded by the curve y x, the line y = 5, and the y-axis. O (313, 313) O None of these O (0, 313) (313.0)

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Q: Given the following set of discrete data in Table 2. Table 2 0.2 0.3 0.4 0.5 0.6 0.7 f(x) 1.0832 1.3...

A: Given: Set of discrete data, To find: f'(0.4) using backward difference.

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Q: (b) 13|3"+2 + 42n+1 (c) 27 | 25n+1 + 5"+2.

A: The solutions of (b) and (c) are given below  

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A: Brief answer is given below.

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Q: BLet uj = (1,2, 1), u2 = (2, 5, 2), u3 = (4, 8, 5). a) Find the transition matrix corresponding to t...

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Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

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Q: 1) Consider the set X = {x E R* / 93x1 + 34.x2 + 26.x3 + 18.x4 < 131, x1, X2, X3, X4 E {0,1}}. (a) S...

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Q: Find y, of the following functions: (1) y=e +2

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Q: Thm (7.5 f i, antimmis ot Xo and is contiumms at fixe). Thon, got s contmams at Xo. Carrider C2n) C ...

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Q: lim ן-רש 27²41 241

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Q: Determine the area inside of r = 3+2 sin e and outside of r = 2. Sketch the region.

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Q: ate whether or not the following are propositions. In case of a proposition, indicate if it false. P...

A: Introduction: A proposition is the most fundamental building block of logic. It is defined as a decl...

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Q: #I The quotient of 50 and 3 is a little more than: a. 17 b. 140 С. 150 d 15

A: The quotient of 50 and 3 is: 503 Divide 50 by 3: Therefore, 503=16+23. Hence, the quotient of 50 an...

Q: Q2- i) Evaluate the following integrate 3 dx 1+sinx

A: Since there are multiple question , we solve the first one . Post the other question again. ∫31+sin ...

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A: Given that: Distance between the swings and the track = 15 inches on the drawing  Distance between t...

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A: Condorcet criterion is the candidate who beats all other candidates in the pair-wise comparison is t...

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A: Using inverse laplace of F(s) we have to find f(t) 

Q: Solve the given differential equation by undetermined coefficients. y" – y' – 12y = e4x %3D y(x)

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Q: Solve using separation of variables xy^2 dx + e^x dy = 0; when x -> infinite, y -> 1/2.

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Q: dentify the cno 1. Which of the following functions results if fx)=log,* is vertically stretched by ...

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Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.

A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09

Q: Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist.,...

A:  use 8 inference rules and 10 replacement rules  i) A≡~B∨C            ...iB≡D·~E              ...ii~...

Q: Let P(x) be the statement “ x? > 1" and Q(x) be the statement “x+1 < 4". The universe of discourse c...

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Q: solve for the unknown terms by the method of: 100 100 100 100 4 -1 1 X1 X2 -1 4 -1 1 -1 4 -1 X3 1 -1...

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Q: 5- I = x.e*dx Divide the integral into 5 equal parts (n=5) and obtain the numerical integral with th...

A: Introduction: The Trapezoidal rule and the multiple Simson's rules are very significant in approxima...

Q: 8. In this problem we develop the rudiments of the theory of linear regression. Suppose that associa...

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Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1 (...

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of th...

Q: The solution of the differential equation x*y" - 2xy' + 6y = 0 (x > 0) is the function y(x) = C; y;(...

A: Put y=xλ  in the given differential equation. x2d2xλdx2-2xddxxλ+6xλ=0 This equation reduce into λ2xλ...

Q: Use Gauss-Seidel method to the following matrix and solve for the unknown terms 4 -1 1 100 100 X1 X2...

A: From the matrix format we have ak+1=14(100+bk-0ck-dk-0ek)bk+1=14(100+ak+1+ck-0dk-ek)ck+1=14(100-0ak+...

Q: What is the value of af (x, Y)

A: The given function is fx,y=3x2+y3+4xy2+8 ∂∂yfx,y=∂∂y3x2+y3+4xy2+8=0+3y2+8xy

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Q: Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: Question 3. Let {G 1 а 0 1 c: a,b, c e Q 0 0 1 H = %3D under matrix multiplication. Notice that H is...

A: We will use the basic knowledge of group theory to answer both parts of this question.

Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2

A: Given: x3dy+xydx=x2dy+2ydx; y=e when x=2 To find: Solution of given differential equation.

Q: Find the derivative of the function f(x) = /(x³+ 11x) by using the definition of the derivative.

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Q: IFA = : ) and B = ( 3 If A = 4 5 10 find -2 -5

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