The Fourier sine coefficient for F(x) = x²,0 < x < 2π if the period is 2 is O 8² 3 None of the above

Q: 1. If A = {3, 6, 7} and U = universal set = {1, 2, 3, 4, 5, 6, 7, 8), then the complement of A is O…

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Q: Let V be the plane with equation ₁ + 3x2 + 4x3 = 0 in R³. Find the matrix A of the orthogonal…

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Q: (a) Write down a corresponding definition for f(x) to converge to L as x→-00. Then, use the above…

A: You have asked more than one question which are different. So, we solve the first question only as…

Q: , A simple graph with 6 vertices, whose degrees are 2, 2, 2, 3, 4, 4. Is it possible or impossible?…

A: One has to check whether such a degree sequence is possible or not.

Q: y + (2xy - e -2y) dy/dx = 0 a) Show that the given equation is not exact. b) Find an integrating…

A: One must check whether it is exact or not.

Q: [sinx, 0<x<o, otherwise. Find the Fourier transform of the function f(x) = {0, tie

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Q: Question 1 a). Using triple integration in cylindrical coordinates, find the volume of the solid…

A: The given data in this question are: The cylinder r = acosθ. The sphere is centred at the origin…

Q: 5. (CLO3) Prove that (n+3) = ("+²) + (+¹) + () for every positive integer n.

A: We need to prove        n+3C2 = n+2C2 + n+1C1 + nC0    We know, for any positive integer n and k…

Q: Determine a so that u(x,y) = e-πx cos ay is harmonic and find a) the harmonic conjugate function…

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Q: Salt water flows at a constant rate of 6 L/min into a tank that initially held 100 L of salt…

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Q: 1. Homogeneous y"+y'- 12y = 0 2x 2. Nonhomogeneous y " + y'- 12y = 5e 3. Nonhomogeneus y " + y'- 12y…

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Q: For set S, the notation S' denotes the complement of S. Which set below has the following Venn…

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Q: Show that A is an automorphism and find its inverse. Problem 2 Let P3[x] be the vector space of all…

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Q: Give the first stage of elementary matrices for the Given Matrix A. All zeros are established from…

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Q: (a) Show that [Q(√3, i): Q] = 4. (b) Find the three subfields K≤Q(√3, i) such that [K: Q] =2.…

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Q: y + (2xy-e-2y) dx = 0 a) Show that the given equation is not exact. b) Find an integrating factor…

A: Useful information:

Q: eff.F. Calculate .ds where F = (42³z, 4y³z, 3z¹) S is the surface of the solid bounded by the…

A: The given problem is to evaluate the given surface integral of the given vector field over the given…

Q: Given the data set 19, 13, 14, 17, 14, 16, 12 find the median and mode (in that 4 order) 14, 15 7,…

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Q: Problem 2: Solve the following recurrence equations: a) tn to t₁ = Show your work (all steps: the…

A: We have to find general solution of the given recurrence relation

Q: The following tableau for a dual maximum problem was obtained using the simplex method for…

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Q: 1-Solve the equation.  x-5/x^2 +1/x=6/x

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Q: Rewrite the objective function into a maximization function. Minimize w=y₁+3y2 + Y3 +44 subject to:…

A: Here the given objective function is Minimize w=y1+3y2+y3+4y4. Need to rewrite this objective…

Q: Prove that if A, B, and C are sets, then (A − (C U B)) U (A N (C u Bº) °) = An Cº

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Q: What value of μ makes the above system inconsistent?

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Q: Find all the values of x such that the given series would converge. (x - 11)" 11" n=1 The series is…

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Q: Provide TWO examples of arguments from NEWS/OPINION ARTICLES published in the LAST THREE MONTHS: one…

A: A valid argument is one in which the conclusion logically follows from the premises. In other words,…

Q: Use the convolution theorem to obtain a formula for the solution to the given initial value problem,…

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Q: 2) Let A = {1,2,...,n} and let Sn denote the permutations on A. A 2-cycle of the form (a b) is…

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Q: 2. Derive the formula for the volume of a cube with side length s V = $³ using the slicing method.

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Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: Use a graphing calculator or a computer program for the simplex method to solve this linear…

A: As per the question we are given a linear programming problem which we have to solve using simplex…

Q: Evaluate x² sin (logy) y4 [5² K -dydx + I ² sin(logy) dydr.

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Q: If (x,y) = T(u,v) is continuously differentiable, R and S are regular regions of R^2 and R = T(S),…

A: x, y=Tu, v is continuously differentiable.R and S are regular regions of R2 and R=TS.

Q: What is the number in row 24, position 5, of Pascal's triangle? 33,649 10,626 42,504 8,855

A: The given problem is to find the number in the 5th position of the row number 24 of the Pascal's…

Q: Question 2 Let a, me Zt and (a,m) = (a-1,m) = 1. Then prove that 1+a+...+am)! = 0(modm) E

A: Eulers theorem will be used to solve the problem.

Q: 14.2

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Q: If B is a proper subset of A, then which of the following must be true? Select all that apply: 03x(x…

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Q: I encrypted the following with affine cipher c=(7p+11)mod 26 PTATPPTORSSDATP What does it say in…

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Q: Calculator Production If the cost to produce x units of calculators is C(x) = 50x + 5000 dollars,…

A: The cost to produce x units of calculator is Cx=50x+5000 dollars. The revenue is Rx=60x dollars. To…

Q: Which of these is a discrete random variable? The time it takes for 30 randomly selected student to…

A: Discrete random variable: A discrete random variable is one which may take on only a countable…

Q: 2 The divergencen foravector function F=fvertfelettored is determined as follows: V · F = 1 [ahnhof…

A: Divergence The formula to calculate the divergence in any coordinate system is given by:…

Q: This is the fourth part of a four-part problem. If the given solutions 7₁ (t) = - [²2²], 1₂(t) -…

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Q: the basis of data for the years 1912 through 1992, the expected life span of people in a country can…

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Q: Problem 4 Is the given function even or odd or neither even nor odd? Find its Fourier series. Show…

A: The given function is  f(x)=1, when 0≤x≤2-1, when -2≤x≤0 So f(-x)=-f(x). So it is an odd function.

Q: 7.) Let S be the outward oriented surface given by the portion of the cylinder x^2+y^2=1. Which is…

A: To Compute: ∯s∇×F×N ds Given: "S" is the outward-oriented surface given by the portion of cylinder…

Q: E.g. Let f(x, y) = x² - 2xy + y². The graph and contour diagram of f is given below right. Compute…

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Q: Explain why the polynomial equation 2x^10 +5x^ 6 +x ^4 +19x^2 +1=0 has no real roots.

A: the polynomial equation 2x^10 +5x^ 6 +x ^4 +19x^2 +1=0

Q: Use the method of undetermined coefficients to find a general solution to the system x (t)-…

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Q: y ≥ |x| x > -3 2x - y ≤ 4

A: The Solution of y≥|x| is given by

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

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