Select the correct choice that completes the sentence below. The voting method in which voters rank candidates from most favorable to least favorable is called the method.

Q: Prove the Divergence Theorem [3P. + R 2 Pi (0,7) (2,7) (0,0)

A: ANSWER: The given vector is u→=3p1+p2i^+2p1 j^. The region is given by 0≤p1≤2, 0≤p2≤1;

Q: Show that Foranyeigen value Tofthe nonsingu lar matrix A with any natural norm Then

A: Given, Eigenvalue λ of non singular matrix A To prove : 1∥A-1∥≤λ≤∥A∥

Q: Use L'Hospital's Rule to evaluate the given limit. x+x a. lim X--0 sinx b. x-1+ lim -) In x, c. lim ...

A: Let us consider a limit function limx→af(x)g(x) If the limit is of the00 form then L'Hospital rule i...

Q: 4. Let S = {v1, V2, V3, V4, V5} where, 3 3 3 9 2 Ea 1 Sa 4 -3 -3 la 6 Find a basis for the space spa...

A: Here  v1 = 13-12,   v2 = 39-36, v3 = -121-2,  v4 = 21-20,v5 = 31-34The matrix is 13-12339211-1-31-2-...

Q: How can you build random integer matrices with det(A) = 1?

A: Solution

Q: Calculate whether it is convergent or divergent. (4x)2* x=1

A: Given series is ∑x=1∞(4x)2xexx2x

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: (12) Show that the Initial Value Problem S lu(x)| = 1 rE (-1,1) u(x) = 0 r= -1,1 has no (classical) ...

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Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector 3B + A. Sketch...

A: We have to find the components, magnitude and direction angle of the vector.

Q: Evaluate the sums. a. Σ b. -2k k=1 k(2k + 1) C. d. k=1 e. k=1 WEWENWE

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Q: Defermine the equation of the line in standard form passing through the point (-2, 1) and paralel to...

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x^3...

A: Given : f(x)=x3+x-3  [0,2] The mean value theorem states that for a continuous and differentiable fu...

Q: 2. + i sin 22 cos + i sin %3D Z1 cos 12 12

A: This is a problem of complex analysis.

Q: min 4a1 + 5xз subject to 2x1 + x2 – 5x3 -3x1 = 1 + 4xз + х4 — 2 Ti > 0,і — 1,2, 3, 4.

A: As per Bartleby guidelines we're supported to answer only first one question when two or more questi...

Q: A function is bijective if it is both 1-1 and onto. Prove that the function below is not bijective b...

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Q: 1-z Let C: z-il=9. Then ſ. dz = z(z+1) а) 0 b) 2ni с) —2лі d) 4ni e) — 4пі f) 2п

A: Multipart:    We have , gz = 1 - zzz + 1 gz = 1zz + 1 - zzz + 1 g(z) = 1zz + 1 - 1z + 1 We need to f...

Q: Find the volume generated by revolving the area bounded by x2 + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: 1/4 - (1/4)^11    Solve without using calculator. Just use the laws of exponent without expanding ...

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Q: Let V = R? and let H be the subset of V of all points on the line -2x – 3y = 6. Is H a subspace of t...

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Q: D) (3x² – 2y + e*+Y)dx + (e**y – 2x + 4)dy = 0 (Exact) E) (2xy*e" + 2xy³ + y)dx + (x²y*e" –x²y² – 3x...

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x T...

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to th...

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also, ever...

Q: Determine the all the roots of z4 +1 = 0

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Q: Use sigma notation to write the Taylor series about x = 9 for the function. 1 x + 5 Σ k

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Q: 8. (e*+ y)dx + ( 2+x+ ye )dy =0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: 2x1 – 6x2 – x3 = -38 -3x1 – x2 + 7x3 = -34 -8x1 + x2 – 2x3 = -20

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Q: min 4x1 + 5x3 2x1 + x2 – 5x3 -3x1 subject to = 1 + 4x3 + x4 = 2 Xi > 0, i = 1, 2, 3, 4.

A: The following steps are used to convert the primal problem as the dual problem. Write the given pri...

Q: Find the volume of the solid generated bounded by x = Vy – 2, x = y2 – 4y + 4, rotated about the %3D...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Construct a matrix system Ax = b, who has a particular solution x, = 1 and the nullspace of the {}} ...

A: This is a problem of linear transformation.

Q: O For the bvp d²y - 9y = 3x, y(0) = y(1) = 0 the Green's functions G(x, §) satisfies d²G(x,£) - 9G(x...

A: The greens function satisfies the homogeneous differential equation, not the non - homogeneous diffe...

Q: Sally has measured the end-points of two poles, and wants to know the angle between them: Use the d...

A: Given, a= 10,3,9 and b=3,8,12 To find : Angleθ between two vectors a→ and b→

Q: 3. Solve the partial differential equation a²z +16 = 0 ax?

A: Solution:-

Q: Select the best answer to each question. In your solution sheet, write t the correct answer. If your...

A: The given differential equation is y(4)-y(3)-y(2)+y(1)=xe-2x-10x2+8cos(2x) the auxiliary equation is...

Q: 12 -2 1 -2 X1 6. -2 13 -2 -6 X2 -3 1 -2 -11 -4 -3 X3 1 1 16 4 9. X4 14 2 4 4 18 X5 7 -2 -2 3 -7 14 X...

A: Since you have asked multiple questions, we will solve the first part for you. If you want any speci...

Q: ind the moment with respect to x = 2a the area bounded by x = 2y and x2 4ay.

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Q: What is the partial differential equation of the  z=xyf((x+y)/2)  surface family including p=zx ,...

A: Given: z=xyfx+y2   

Q: 1. Find the general solution of the given differential equation using MUC: y() – 4y(3) – 21y(2) + 10...

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Q: Obtain the moment of the area generated by x = 2a, bounded by x =y and x2 = 2av.

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Q: Solving. A. For each figure given below, find all six trigonometric ratios for all angle 0. 8. 1. 2....

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Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: Consider the two period consumption savings problem faced by an individual whose utility is defined ...

A: The method of Lagrange multipliers is a simple and elegant method of finding the local minima or loc...

Q: Given the differential equation x*dy – tan(y) dx – xsec²ydy + 2xydx = 0 then what is y(x + y) = tan(...

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Q: 2. Find the maximum and minimum of the function f(x,y) = 1 subject to the x² +2y2 constraint x +2x²y...

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Q: Let M and N be 3 x 3 matrices with det(M) = 64 and det (N) = 81. Calculate det Also show whether NT ...

A: Let M and N be are 3×3 Matrices. We have given that ,  detM = 64  and  detN = 81 We need to find ,  ...

Q: I. Represent the following equations in R by a vector-valued/parametric equations: 4. 4r - 32y? + 4r...

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Q: Conditional Statements Write the conditional statement below symbolically. Then write the inverse, c...

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Q: Show that an n x n matrix A is invertible if and only if 0 is not an eigenvalue of A.

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Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

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Q: The general solution of the linear homogeneous equation is y = cy1 + C2Y2.

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Q: Problem 2 Find the QR-factorization of the matrix 2 1 1 A = 1 -2 -1 -1 121 2

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Q: 3. Find the solution of the given initial value problem using MVP: y(2) – y() – 2y = 4e¬2*(2 + e-2*)...

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