1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1, elsewhere.

Q: Question 5 Mrs. Parkes borrowed $6000 from her f month. [Hint: Lesson 2.2] Select all the…

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Q: 7=(2, 3, 2) + t(1, 1, 4), tER, and the point (4, -3, 2). of the plane that contains the line 9.…

A: Explanation of the answer is as follows

Q: 7- The value of (tan³8 + tan³0) e- -ten²0 a) 1/2 b) 5/2 9 Gunners (x) imetion de is. c) 1/4 in d.…

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Q: Susan is a volunteer at the SPCA and has a 2-hour shift per day. Occasionally she assists the vet…

A: Please see the attachment

Q: 0, xp + (x - 5)c em of equatio

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: Laura and Sarah see a promotional blimp flying at an altitude, h. Their measurements are shown in…

A: Using the Law of Sines, it can be written that: asinA=bsinB=csinC. For a right triangle, using the…

Q: Find all local maxima, local minima, and saddle points of each function. Enter each point as an…

A: We have to find the saddle points of the function fx,y=e2y-8ye6x

Q: Consider the following set in a divisibility problem. 1. A {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a…

A: According to our guidelines , we can answer only three subparts and rest can be reposted. I solve…

Q: Solve the problem. 0 E --6 0 1 The columns of 13 are e₁= e2= e3 0 Suppose that T is a linear…

A: We have to find a formula for the image of an arbitrary x=x1x2x3 in ℝ3

Q: Q4: Consider the function L(a) as an even function and expand it using an appropriate Fourier…

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Q: Construct the Lagrange interpolating polynomial for the following data set 0.1 0 0.2 0.4 X f(x) 0.74…

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Q: Suppose y is a function of x. Find dy/dx. B only.

A: When there is variable in the base and in the power of a function, we follow the logarithmic…

Q: Q1/ Grades in statistics class are weighted as follows: Tests are worth 50% of grade, homework is…

A: Follow the steps.

Q: 5- in the differential equation a) Normal point Then x = 0 is x*(x − 3) ý + (3x +2)ỷ+x*y=0 b) single…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: In this set of exercises, H always denotes a Hilbert space. If M is a closed subspace of H, prove…

A: If M is a closed subspace of Hilbert Space H then we have prove that M = M⊥⊥.

Q: Noel has deposited P 52,000 with an interest of 4.5% compounded semi-annually. What is the compound…

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Q: Find the 23 dx = 3x -y-z dt dy = x + y - z dt dz = x-y + z dt general solution of the system

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Q: Solve the equation. dx = 8xt6 dt

A: The solution is given as

Q: Describe all solutions of Ax = b, where 2-5 3 A -2 6 -5 70] and b = Describe the general solution in…

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: Car Dealer The charts below show the number of cars John sold last year and the profit per car he…

A: To find how much did John earn last year :-

Q: B) using polar coordinates. Find the value of the binary integral: e-x²-x²) dA. ** Good Luck **

A: Given integral is ∫02π∫12e−x2−y2dA. We have to solve the given integral by suing polar coordinates.…

Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…

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Q: Find the general solution of the system 23 dx = 3x -y-z dt dy = x + y - z dt dz = x - y + z dt

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Q: The complete solution of the ordinary differential equation d² y dy + P dx² + qy = 0 is dx - 3x - y…

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Q: xo X1 X2 X3 Given the data set and the polynomials ỹo (x), ₁(x), ₂(x) Yo Y1 Y2 Y3 comprising the…

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Q: Help the builders determine the longest piece of lumber that can be carried around a turn…

A: Using the Pythagorean theorem, it can be written that: h2=p2+b2, where h is the hypotenuse, p is the…

Q: Consider the initial-value problem y'= y, y(0) - 7. (a) Use Euler's method with each of the…

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Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: The given differential equation is d2ydt2+5dydt+6y=7 sin4t........(1) To find: the general solution…

Q: Evaluate (+1)(-2) dz where c is iz-11=2

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Q: -15 -10 -5 0 -10- 15 --20 5

A: The slope-intercept form of the equation of straight line is y=mx+b, where m is the slope and b is…

Q: (d) Let F be a subfield of a field E. Define what it means by an evaluation homomorphism. (e) Let F…

A: (d.) Given: F is a subfield of a field E. To define: An evaluation homomorphism.   (e.) Given: F=ℤ7…

Q: The divergence of a vector D for rectangular coordinate is equal to [1/p / dp (pDp)] + [1/p Dø/dø]+…

A: We have to find divergence in rectangular coordinate

Q: 4. Describe how you can tell from the scalar equations if two planes are a) parallel and distinct or…

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Q: Question 7 Conveyor belts are being set up in the factory to assist with the manufacturing. [Hint:…

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Q: Find the equation of the tangent plane to the graph of exy² + zy¹ = 61+1 at the point (0, -2,6).…

A: The gradient of a surface includes the partial derivatives of the function. It is always directed in…

Q: appropriate method, beginning with th Bxy' = 6y + 3x¹cos² (²), y

A: Given: 3xy'=6y+3x4cos2(yx),y(2)=0

Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V…

A: The rules of inference are also applied in case of quantified propositions. Along with the rules,…

Q: Draw the Hasse diagram of the given set of A = ({3, 4, 12, 24, 48, 72},/)

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Q: 5) x+1 x²(x+2)3

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Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim sin nx dx = 0. cos C ∞ JA

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Q: 10. Find the area bounded by the curve y²-9x and its latus rectum. A. 10.5 C. 11.5 B. 13.5 D. 12.5

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Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEX)[R(x) V…

A: Introduction: The rules of inference are also applied in case of quantified propositions. Along with…

Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim sin nx dx = 0. n∞ JA

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Q: Find slope of the tangent and tangent line of the given functions.w.r.t  x  and y i) f(x,y)= sin x…

A: If z=f(x,y) is a scalar function, then x,y are called the input of the function, and z is called the…

Q: of the line passing through the point A(7, 1, -2) and perpendicular to the plane with equation 2x -…

A: Determine the Cartesian equation of each of the following planes:   a. through the point P(0, 1,…

Q: 10. Alihan's transcript shows the following academic record for four semesters of part-time college…

A: To find the cumulative GPA at the end of his fourth semester :-

Q: solve for all possible values of x a) x^2 + 2x + (1 - i) = 0 final answers should be: -0.292893 +…

A: We have x2+2x+1-i=0 The solution of a quadratic equation ax2+bx+c=0 is: x=-b±b2-4ac2a So, the…

Q: Determine whether the basic feasible solution corresponding to the given tableau is optimal. X1 X2…

A: The basic feasible solution corresponds to the linear programming problem. The optimal solution…