Find the fourier trans y (t) = x (+). Cos wot

Q: 2. Verify the Divergence Theorem for the vector field F = (r² − 2)i + (y² - x)j + (2²-y)k where Ris…

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Q: Write the equation of the ellipse 25x² + 16y² + 50x + 64y – 311 = 0 in standard form 2 (x - h)² (y -…

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Q: E 121 - 07/12 - 02/1² 1/3 (3) 3 + XV ²₁ (8

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Q: The following data gives the number of hours 5 students spent studying and their corresponding…

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Q: Find the Maclaurin series of 9*. Σ n=0

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Q: Use the improved Euler's method to obtain a four decimal approximation of the indicated value .Use…

A: The given initial value problem y'=4x-7y, y0=2. To find y0.2 using the improved Euler's method with…

Q: Given sets A = {@, #, $} and B = {#, $, %}, find P(AnB). O {ø, {#}, {$}, {#, $}} ○ {ø, {#}, {$}} O…

A: Given: The sets A and B are given by A=@,#,$ and B=#,$,%. To Find: We have to find PA∩B. Concept to…

Q: Question 3 (4 points) The cost to rent a moving van for a day is an initial cost of $29 plus $0.55…

A: Initial Cost = $29 Rate per mile = $0.55 Total cost is equal to the initial cost plus the rate per…

Q: 5. Evaluate the flux [[ c curl(F) dA where S is the hemisphere x² + y² + z² = 9 with z ≥ 0, and The…

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Q: Verify the Divergence Theorem for the vector field F = (r² − z)i + (y² − x)j + (2²-y)k where R is…

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: The given parametric curve x=9-t2 and y=t3-12t. We have to find the points on the curve for which…

Q: 4. Is the set S an orthonormal set in PC[−L, L]? How do you know?

A: To check if a given set of vectors is orthonormal, we need to check two conditions: Orthogonality:…

Q: dx √√64-x³ 3 (c) fő-

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Q: e fF. Use Green's Theorem to evaluate F.nds, where F =(√x + 4y, 2x + 4y) C' is the boundary of the…

A: We have to evaluate the integral ∫CF→·n→ds, where F→=x+4y,2x+4y. Where C is the boundary of the…

Q: MATRIX LOGIC 1) Tom, John, Fred, and Bill are friends whose occupations are (in no particular order)…

A: The given data in this question are: There are four friends: Tom, John, Fred, and Bill. Each friend…

Q: Σκ-α), 3η γ(α;2) η20 η -dz.

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Q: Two competitive pet shops want to open stores at a lake, where there are currently Setup the game…

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Q: 2. Find the following indefinite Integrals: a) f(3x4 - 2x³ + 7)dx b) f(sin(x))5 cos(x) dx c) f(x³…

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Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

A: Since you asked multiple question , I can answer only one question. For the other questions'…

Q: 9. Find the maximums, minimums and saddle points of the surface f(x,y)= ry(3-r-y). (976337703)

A: I have explained everything with in the solution. Please go through that.

Q: 5.) Find the derivative of y = ln (3-1)

A: y=ln[(3x-1) /x]

Q: ·[F. Consider the vector field F = Evaluate r(t) = t² i + t³j, 0≤ t ≤2 F. dr along the curve C:

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Q: (3) (0) Σ 10* k=0 2k

A: We have to find whether the given series is convergent or divergent.

Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (3, -1, 1), (1,…

A: Data points 0,-4 , 0 ,5 , 0 ,0 ,3 , -1 , 1 ,1 , -2 ,1 ,1,-5 , -3. To Find: The plane z=a+bx+cy that…

Q: 13.) Integrate: (3x² - 5x+7)

A: Introduction: “Integration is the process of finding the function from it's derivative and this…

Q: Find a Hamiltonian cycle

A: A Hamiltonian cycle that visits every vertices of the graph  exactly once .

Q: 14. If af/ay is continuous in the rectangle D, show that there is a positive constant K such that…

A: The given data in this question consists of a sequence of functions Φn(t), where n is a positive…

Q: Consider the sequence (an)nzo which starts 2, 8, 14, 20, … . . a. What is the next term in the…

A: Given sequence ann≥0 such that 2,8,14,20,......

Q: Exercise B-1 (Algo) Present value of an amount LO P1 Mike Derr Company expects to earn 10% per year…

A: To compute the present value of the investment, we can use the formula: Present Value = Future Value…

Q: A cuboid tank is open at the top and the internal dimensions of its base are x m and 2x m. The…

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Q: Find the range R in the complex w-plane of the following complex function correspo to its domain D…

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Q: The greatest common divisor (gcd) of non-zero integers x and y is the the smallest positive integer…

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Q: Question 4 X Define the set S = (a, b, c, d, e, f, g). How many subsets of S have either three or…

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Q: 14.2

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Q: Solve the following heat equation and write the solution as u(x, t) PDE: Ut = Uxx BCs: ux(0, t) = 0,…

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Q: If $9000 is invested at 4% compounded continuously, what is the amount after 4 years? The amount…

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Q: Solve the matrix equation Az = b. where The solution is: 21 3 2y=0

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Q: Let F = I curlF. S Use Stokes' Theorem to evaluate curlF.ds, where S is the hemisphere x² + y² + z²…

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Q: Alan has 209 songs on a playlist. He's categorized them in the following manner: 42 pop, 27 country,…

A: There are a total of 209 songs on Alan's playlist, and 52 of them are hip-hop songs. Therefore, the…

Q: Solve the following set of simultaneous equations using the matrix inverse method: X₁ + x2 + 2x3 = 6…

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Q: 13. Determine the value of x and y in each of the following: a. 3(x, 1) - 5(2, 3y) = (11,33) b.…

A: (a) 3x, 1-52, 3y=11, 33 (b) -2x, x+y-36, y=6, 4 To Do: We have to determine the value of x and y in…

Q: 1. Suppose that f is a real function. 1. Show that if L = lim f(x) x-a exists, then f(x)| → |L| as x…

A: We have to show if limx→afx=L exist then fx→L as x→a but the converse is not true

Q: Lety 12 and V₂ Find the distance from y to the subspace W of Rª spanned by v, and v₂. given that the…

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Q: A function, f(x) is defined over the interval - to π as below: { f(x) = 0, 1, -π ^.

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Q: Which of the following is the BEST definition of Alpha Reliability for a measurement scale (which is…

A: The best definition of Alpha Reliability for a measurement scale (which is a measurement at the…

Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = (1, 2,…

A: u = (1, 2, −3), v = (−1, 1, 2)   To find: u×v and then to show that it is orthogonal to both u and…

Q: Determine the simple interest earned on $22,500 after 15 years if the APR is 1796.

A: For solving the given problem

Q: Use a system of equations to find the partial fraction decomposition of the rational expression.…

A: 8x2x-12x+1=Ax+1+Bx-1+Cx-12                                                ...(i) To use the system…

Q: 1.) Evaluate each of the following limits. a.) lim (x2-3x + 1) x-2 x-1 b.) lim x-1x²-1

A: (a)  To compute     L = limx→-2x2-3x+1  Then we have L = -22-3-2+1

Q: X'=x+²* 21 -3 6. t -3 -4 2x e

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