Sketch the curve with polar equation r = cos(30), 0 ≤ 0 < 2π, plotting only the points with r≥ 0 and including explanations for your answer.

Q: Construct an example of a subset B of p({a, b, c, d}) such that (B,C) is a totally ordered set.

A: An algebraic structure (B,⊆) is called a totally ordered set if it is antisymmetric, transitive and…

Q: A shelf in the Metro Department Store contains 100 colored ink cartridges for a popular ink-jet…

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Q: In 34-36, construct addition and multiplication tables for the given Zn. 34. Z₂ 35. Z3 36. Z6

A: We construct addition and multiplication tables for following structures.

Q: 3 Consider the equation + ax + bx = 0 when b = a², so that the characteristic equation has a double…

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Q: dy da + P(x) Q (y) is the the first order linear differential equations form. Which of the following…

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Q: Determine the effective annual yield for each investment. Then select the better investment. 14%…

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Q: The figure shows M between A and B. x² A x² -11 a. Find x : - 4x M c. Find MB: e. What is the…

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Q: Up to isomorphism, how many different abelian groups with 800 elements exist? List them. s is an…

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Q: A radio station runs a promotion at an auto show with a money box with 11 $50 tickets, 14 $25…

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Q: How many of the consumers surveyed buy the product sold under (a) At least one of the three labels?…

A: Let, U = universal set of consumers.         A' = set of consumers buying products with label A.…

Q: Compute the "best fit" plane containing the following points: (4, 0, -2) (2, 1, -3) (-3, 1, 4)…

A: To find the best fit plane that for the points 4,0,-2,2,1,-3,-3,1,4,-2.9,0.9,4.1To find the normal…

Q: (c) Determine whether the graph below is bipartite and if it is, whether it has a perfect matching.…

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Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: In a circular sitting arrangement, there is no starting or ending position, mainly the arrangement…

Q: Perform the indicated operation: { 21 [ cos (206°) + i sin (206°) ] } / { 13 [ cos (217°) + i sin…

A: Working Formula: 1.cos(x-y)=cos(x)cos(y)+ sin(x)sin(y) 2. sin(x-y)= sin(x)cos(y)-sin(y)cos(x)

Q: Suppose ƒ : (a, b) → R is differentiable and that ƒ' : (a,b) → R is bounded. Prove that f: (a, b) →…

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Q: Theorem 4.4. Consider the linear congruence ax=b (mod m). If (a,m) = d, then this has a solution if…

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Q: Plot two distinct complex numbers in a complex plane ( the x-axis is the real number part and the…

A: We have to plot two distinct complex numbers in a complex plane considering the x-axis is the real…

Q: Insert n or U to make the statement true. (8,12,16,20}{1,8,9,12,15}={8,12} Choose the correct answer…

A: Option B is true

Q: {} 1 1 ++ + - S S 1 2

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Q: e²-e

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Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

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Q: 3- Write a topological order of vertices of above graph and illustrate your method.

A: Definition: A topological sort or topological ordering of a directed graph is a linear ordering of…

Q: 12. So · u(x) = 1 = x - √ ª (x − t)u(t)di 0

A: These are problem on Volterra type integral equation. According toh the guidelines I can solve the…

Q: 3. Starting with the matrix A, the following sequence of row operations produces the matrix B. • R₂…

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Q: Use Gram-Schmidt process to find an orthogonal basis for the column space of the matrix A - 1 1 -1 1…

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Q: 1. Let T: C² C² be defined by T((x, y)) = (x + y, iy). (a.) Show that T is a linear transformation…

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Q: Prove [A, B] not positive and A,B are square matrices(matrix theory) [A, B] = AB - BA.

A: Given: It is given that A,B=AB-BA where, A and B are square matrices. To prove: We have to prove…

Q: uu, + x-y x + y uu, = x² + y² x + y

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Q: Let A = 8 -6 18 -13 a) Is matrix A diagonalizable? Yes b) If A is diagonalizable, find a matrix P…

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Q: Use Laplace transform to solve the given initial value problem: y"-4y' +4y=0; y(0) = 1, y'(0)=1

A: y''-4y'+4y=0y0=1y'0=1

Q: Find an SVD of the indicated matrix. (Enter each matrix in the form [[row 1], [row 2], ...], where…

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Q: A population of birds and insects is modelled by the equations dx/dt = 0.4x (1 - .000005x) - .002xy…

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Q: A network of railway lines connects the main lines entering and leaving a city. Speed limits, track…

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Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

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Q: Use the 2016 marginal tax rates to compute the tax owed by the following person.   A single man with…

A: Taxable income is $13000 According to the chart,  Upto 9275 the tax is 10% From 9276 to 37000 the…

Q: Find a formula for the trigonometric function graphed below. Use a as the independent variable in…

A: Graph of the trigonometric function is given, we have to find its equation.

Q: Given the invertible matrix, A = [c + 3 1 0 00 1-2 1 4 Find the eigenvalues and eigenvectors of…

A: In the given problem we have to find the eigen value and the eigen vector of the matrix A12 and the…

Q: X Expand f(x) = COS 0<x< π, in a Fourier cosine 2' series. In addition, indicate when the Fourier…

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Q: Use Green's Theorem to evaluate: LE F.n ñ ds where F =(√x + 5y, 2x + 5y) and C is the boundary of…

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 20 y(x) =

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Q: 4. A spring with a mass of 3 kg has damping constant 30 and spring constant 123. (a) Find the…

A: Mass m=3 kg Dumping constant c=30 Spring constant k=123 At t=0 it starts from initial velocity2 m/s…

Q: solid in the first octant is bounded by the following surfaces: c. inside y² + z² + 8x = 32 b.…

A: A solid in the first octant bounded by under y=z  outside x2+y2-4y=0 inside y2+z2+8x=32

Q: 4. Given a triangle whose two angles measures are 350 34' and 810 27' determine the measure of the…

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Q: Gauss's law says that the electric flux through any closed surface is equal to the total charge…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: (b) Compute the flux of the vector field F(x, y, z) = yi + zk upwards through portion of the cone z…

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Q: n different toys have among children. Find which these toys can exactly one child gets

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Q: A carpet which is 8 meters long is completely rolled up. When a meters have been unrolled, the force…

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Q: Prove by induction that for any regative integer não and a ³00 1 non

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Q: Write the sample space for the random experiment. A student is asked how many points she earned on a…

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