. Find the Fourier transform of the unit gate function |1| < rect (1) 1 1 0 |1|> 121|2

Q: Ms. Yamato’s gross pay is $2644. Her deductions total $548.30. What percent of her gross pay is…

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Q: Given a set A = {1, 2, 3, 4}. Define a relation R on A as: R = {(x, y) | x - y is even} List the…

A: For the relation R to hold between x and y, the difference (x - y) should be even.An even number is…

Q: ove the following corollary of the projection theorem: Given a linear variety VC R* associated with…

A: Projection Theorem: Given a Hilbert space H and a closed subspace M of H, for any x in H, there…

Q: Exercise 11. Recall the following Example of a topological space with the real line as underlying…

A: Let's address each of your questions regarding the Sorgenfrey line topology:(1) Given x &lt; r in…

Q: Which of the following could not be a constraint for a linear programming problem? Select one: a.…

A: The objective is to find which one is not a constraint.

Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) - n! (a) When n = 13 and r = 6, -0.…

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Q: Jessica's class schedule for next semester must consist of exactly one class from each of the four…

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Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: We find Nth partial sum of this series

Q: Help with the following question. please write the solution on a paper because math problems don’t…

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Q: Mark the following either true or false. Justification is required. A matrix is invertible if and…

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Q: Matrix A has 3 rows and 2 columns. Matrix B has 2 rows and 3 columns. Matrix C has 2 rows and 2…

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Q: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. -9 -8 -6 A = *…

A: We have to find the corresponding eigen value where  is the given matrix and  is the eigen vector

Q: Prove that 1^2 - 2^2 + 3^2 +...+(-1)^(n+1)n^2 = (-1)^(n+1)n(n+1)/2 for all n∊N.

A: We will prove the given result by principle of mathematical induction.

Q: 3. Let d₂(x, y) = |arctan(x) — arctan(y)| for x, y € R. (a) Show that d₂ is a metric on R. (b) Are…

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Q: 18. How many integer solutions are there to the inequality x1 + x2 + x3 + x4 + X5 ≤ 782 provided…

A: We have to find the number of integer solution for

Q: Draw a graph off that satisfies the given specifications for the domain [-3, 3]. The function does…

A: We need to find the graph from given options.

Q: Let R4 have the Euclidean inner product. Find a unit vector with a positive first component that is…

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Q: In a singular value decomposition of matrix A - V = 0.5 -0.71 0.41 -0.5 -0.5 0.5 U = 0.0 0.0 0.82…

A: The singular value decomposition of a matrix A of order m×n is defined as A=UΣVT , where U is a m×m…

Q: Assume the domain of the field plot below is R2 a) Identify, if possible, a point in the plane where…

A: We have to answer the following questions on the basis of the given vector field.

Q: The derivative of the function f is defined by f'(x) = x³ +3 cos (x² + 5). Find the x values in the…

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Q: 2. Sketch a graph of r = 1 - sin 0 and r = 1 on the polar coordinate system provided below. Assume 0…

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Q: k The electrical resistance R of a certain wire is given by R = where k is a constant and r is the…

A: Electric resistance of a certain wire is given by  where  is constant and  is the radius

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the…

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Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: Mark all true statements (there might be more than one statement that is true). 0 Suppose that f and…

A: We have to identify the true statements from the given statements.

Q: Suppose S represents any group that has the order |S| = R = 1,234,567, and suppose there is an n…

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Q: For each positive integer n, there exists an irreducible polynomial f(x) of degree n over…

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Q: Find the particular solution of the differential equation x²y" + 8xy' +12y = 1x 4 y'(1) = 42.…

A: We have to solve the differential equation.

Q: ) Consider the following linear programming formulation: Minimize cost = $1X₁ + $2X₂ Subject to: X₁…

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Q: A regional municipality is studying a water supply plan for its tri-city and surrounding area to the…

A: Present worth at year 2030Hence, present worth at year 2030 will be $158.147096 million

Q: A U.S. Treasury bill with 98 days to maturity is quoted at a discount yield of 2.50 percent. Assume…

A: Given information:U.S. Treasury bill with  to maturity.Quoted at a discount yield of  percent.Face…

Q: Find the limit e(-y)³-1 lim (x,y)-(3,3) (x - y)²

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Q: Find the minimum norm solution of the underdetermined linear system 2x₁ + x₂ + x3 + 5x4 = 8, -x₁ -…

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Q: Rewrite each of the sets described below in set builder notation.

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Q: Assume all matrices are invertible. Solve for X: A(XB – D) = B

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Q: Prove there is no real number x such that x8 + x6 + 1 = 2x³.

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Q: assume a beetle has a normal life span of 3 years. allowing us to categorize the beetles based on…

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Q: The supply and demand equations of two interdependent commodities are Qs, = 4(P₁-1)-5. Qs₂ = P₁ -3.…

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Q: ind the coordinate vector [x]g of x relative to the given basis B= (by, by by) b₁ = -1,b₂ = -4 -3 2…

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Q: Let fn(x) = x^n for x ∈ [0,1]. check if it is pointwise convergence. Define where it becomes…

A: Given, fn(x) = xn , x ∈ [0,1].We will check poitwise convergence of fn on [0,1].

Q: 3. Find the lengths of the following curves. (a) x²/3 + y²/3 = 1. 1 (b) x = y√/y² − 1 − 1⁄2 ln (y +…

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Q: B. Express the ff atticher whit with general Form quadortic function. 1. 2 9=C++3) ²-3 FLAMU

A: The general form of a quadratic function is

Q: At least one of the answers above A 9th order, linear, homogeneous, constant coefficient…

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Q: A couple received a $133,000 inheritance the year they turned 51 and invested it in a fund that…

A: Given thatA couple received a $133,000 inheritance the year they turned 51 and invested it in a fund…

Q: Beulah and Biff invest in Bertha Fund. They make an initial deposit of $1,000. After 1 year they…

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Q: 1. The Icosahedron P, (a polyhedron) and the Icosahedral graph G, are P₁ = Decide the following (Yes…

A: Problem is about homeomorphism between surface and graph.

Q: The coordinates coordinates of two points A and B are (3, 4) and (5, -2), respectively. Find the of…

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Q: Assume the company makes a profit of $15 per bookshelf and $40 per desk. They must manufacture…

A: The company makes a profit of  per book self and  per desk.The manufacturer must make book self in…

Q: Find the nullity(A) and a basis for the null space of the given matrix. (If an basis for the null…

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Q: 6. Let f: Q R be defined by f(x) Show that f is continuous. 0, :{ 1, = if x € (-∞, √2) nQ if x €…

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