x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

Q: 1. Rotation 180° clockwise about the origin 3 A D 1 J - X

A: Start from the origin, move p units to the right along the x axis and q units up along the y axis to…

Q: Determine the Fourier Series of the function below: * X, 0 < x < T | f(x) = { π < x < 2π, = π, and…

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Q: 1. Let A & 2, 3, 4, 5, 6, 7, 83 and 9 and R a relation over A. Draw a directed graph of R after…

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Q: How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

A: Putting h=0 in the given equation. -0.00439t4+0.04293t3-0.17316t2-0.2711t+59471=0 Let…

Q: Find the solution of the given initial value problem. 6 cos t Y - 7 Y y' - y(π) = 0, t> 0 t t-6 y(t)…

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Q: 2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t…

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Q: Consider the two-dimensional surface (“lamina”) bounded by y = e^x , y = 0, and x = 1 and whose…

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Q: 1. Find the general solution of dy dx +y=x

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Q: Find the solution of the given initial value problem. ty+3y=t²t+7, y(1) = 6, t> 0 Y ||

A: This is a Initial value problem from Differential equation and let us find its particular solution…

Q: 37.90 is 25% of what number? 38.12 is 34% of what number?

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: 2. Let f(x)=3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<³ Find the value…

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Q: f(x) = |x|, −π<x< T 1-(-1)" a. f(x) = 2 Σ=1 sin nx n (-1)"+1 00 b. f(x) = 1 + ² =1 - 2 πT n² (-1)"-1…

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Q: R UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. I'LL DOWN

A: Introduction: The formula for the Taylor series of the function f(x) centered at x=a is given by,…

Q: 1. Use the power series 1 x+1 - Σ(-1)"-19"-1, n=1 to find a power series, centered at 0, of the…

A: The given power series with the sum is 1x+1=∑n=1∞-1n-1xn-1. The series is a geometric series and it…

Q: 7. 3s+4 L-1{ s²+4s+5- 2t a. e²t (3 cost - 2 sin t) b.e-2t (3 sint 2 cost) – c. e2t (3 sint 2 cost)…

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Q: f(x) = = x, over the interval - < x < and has period 27 f(x) [cos cosz+cos3z + cos 5 +... f(x)…

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Q: III. In each of the following, express the required series in summation notation. 1. Obtain the…

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Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: e function below has at least one ratio se this fact to find all zeros of the funct g(x)= 10x³ - 33x…

A: The rational zeros of the function is to be determined. gx=10x3-33x2+8x+3

Q: Find the solutions if k = 0 for kx +y +z = K² x + ky+z # -KM = 2 Kx + y kh

A: The given system is                     kx+y+kz=k2x+ky+z=kkx+y-kz=k2

Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d. (s+3)³

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of 3 f(x) = n(1+x²).

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Q: 500 e demand function P(x)=- 0.01x 50 How many accessories must be

A: Given as, Px=5000.01x2+1 , 0≤x≤50.

Q: "m+nis 5. ( Let set A be the set of integers. For all m and n in A, mRn odd". Determine if the…

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Q: tandard form

A: Introduction: The center, vertices, and asymptotes of a hyperbola totally determine its graph. When…

Q: The appropriate Fourier series for f(x) = {1: { 1, -π< x < 0 0≤x≤ T

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Q: For what values of k will the system Skx ty tkz = k₁² x + ky+z=K have infinity solutions? For each…

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Q: An ordered field is a field F, and a subset PCF, called a positive set, such that (a) If x, y EP,…

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Q: QUESTION 6 and b= Let W=span ( - 1+x,1+x²) be the subspace of P₂ equipped with the evaluation inner…

A: let W=span-1+x , 1+x2 be the subspace of P2 if p=12+6x-12x2 then projwp=a+bx+cx2 find the value of a…

Q: = ²/² (e ² + e²^²) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: We need to find Maclaurin series for the function , fx = cosh(x) We know that , cosh(x) = ex + e-x2…

Q: Marvin has a Cobb-Douglas utility function, 0.5 0.5 his income is Y = $700, and initially he faces…

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = n(1+x²).

A: Taylor series for a function f(x) defined at a is given by f(x)=∑k=0∞f(k)(a)k!x-ak…

Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

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Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

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Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such…

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Q: Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt = f(y). In each…

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Q: erform the Laplace Transform Show your Solution 2e-5t sin 10t + 6e-5t cos 10t

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Q: A company produces a special new type of TV. The company has fixed costs of $493,000, and it costs…

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Q: y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

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Q: A polynomial is known to have the following roots x₁ = 4.9+ -4.3 i x2 = 2.3 x3 = (4.6) ¹/2 Determine…

A: If the root is complex number of a real coefficients polynomial then it has complex conjugate root.…

Q: Find the solution of the given initial value problem. ty' + 3y = t² − t +7, y(1) = 6, t>0

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Q: DETERMINE THE VALUE OF F(5) FOR A GIVEN SET OF DATA BELOW USING THE STATED METHOD OF INTEPROLATION:…

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Q: 2 -5 Let y = -3 and u = -4 -1 3 Compute the distance d from y to the line through u and the origin.…

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Q: Janie's generous Grandma Mae put $400 in a college fund for her 1st birthday, $500 for her 2nd…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Find the solution of the given initial value problem in explicit form. 75 ㅠ sin (2x) dx + cos(7y) dy…

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Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: (5) Show that for any real number x and a subset A of R, exactly one of the following holds: (a) x…

A: Closure(A)= interior(A) U boundary (A)  if  point x belong to Closure (A) then either x is in…

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A: To find the differential equation that corresponds to the given direction field :-

Q: -=f"(() is The degree of precision of a quadrature formula whose error term is :-

A: To find- The degree of precision of a quadrature formula whose error term is: -h336f''ξ is