Find the Fourier Transform for the following periodic function defined in one period; f(t) = {el if |t| < 1 if t > 1

Q: Given V = {(x, y) |x >0} where (x1, y₁) (x2, y2) = (x1x2, y₁ + y2) and c○ (x, y) = (xº, cy), why is…

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Q: If the set W is a vector space, find a set S of vectors that spans it. Otherwise, state that W is…

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Q: 7. Find the total differential of z = f(x, y) = x²/3y-1/2, use it to approximate f(7.99, -9.03).

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Q: Part c a HO b C Let W be the set of vectors of the form A = where a, b, c are real numbers such that…

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Q: 2 Find the area of the portion of the paraboloid x=9-y²-z² that lies above the ring 1 ≤y² + z² ≤ 9…

A: Given, The paraboloid y = 9-y2-z2  above the ring 1≤y2+z2≤9 in the yz plane.

Q: 2+ = 4x + ³/²³y + 2et 3/2 dy d+ = 9x+6y + l0e² dit 1) write the system in matrix form. b) solve the…

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Q: if the following ideals are Maximal, Prime but Prime. You do not have to provide reasons i. (the…

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Q: . Evaluate FdS where F = (x, y², z + y) and S is the boundary of the region contained in the…

A: Here we will divergence theorem for a vector valued function F ∫∫S F.dS = ∫∫∫E divF dV Where E is…

Q: Let f : X → Y and g: Y→ Z. Let h = gof: X→ Z. Suppose g is one-to-one and onto. Which of the…

A: (a) if f is not one-to-one, then there exist x, y ∈ X such that           f(x) = f(y)        =&gt; g…

Q: Suppose f: A → B is an injection g= B → C is a surjection. Must and gof: A ⇒ C your answer. be an…

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Q: For each function below, find all points where the function is discontinuous and classify the type…

A: To Check: whether the following function are continuous or not. If they are discontinuous we need to…

Q: whose the family of curre intersecting at angle of find the isogonal trajectory of y = = Inx+C…

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Q: 10. Show that for any non-square d and any integer M there is a finite (possibly empty) set S =…

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Q: Let X, Y and Z be subsets of the universal set U. Prove using ONLY definitions (logical connectives)…

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Q: 16) Find the full power series centered at x=0 and then give the first 5 nonzero terms of the power…

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Q: The solution of the system X'= Select the correct answer. Seleccione una: a. b. e. 2-2 X is X=ce 0-2…

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Q: 30. Li (U1, U2, U3, U4)= (₁+4, U2₂ +14, Us).

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Q: For each positive integer n > 0, find the greatest positive number integer mn such that 1 tan ¹(n+1)…

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Q: The augmented matrix is given for a system of equations. If the system is consistent, find the…

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Q: True or False? The vector (1, 1) is a linear combination of the vectors (a₁, a2) and (b₁, b2) if the…

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Q: If r = 198 √2, then number of circles D, which comple

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Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

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Q: Question 2. The function f(t) is defined as follows f(t)=3-5t+t²,0 < t <3. Define f (t), an odd…

A: The given problem is to find the odd periodic extension of the given periodic function and also to…

Q: Le+ A=22 1 Find on orthogonal matrix Q and a 2-1 diagonal matrix D such that A=QDQT.

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Q: Let ax + by + cz + d = 0 be the plane. Then the points (x₁, ₁ (x₂, 2, 2₂) lic on the same side or…

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Q: change 2/2 0 integral b of coordinater 5125 0 125-x2 x y dydx

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Q: Use the direct computation method to solve the following Fredholm integral equations

A: Given: Fredholm integral equation: u(x)=-11+9x+x3+x4-∫0120x-30t ut dtTo find: The solution of the…

Q: 2. Solve in three methods (x² + 6y²)dx - 4xy dy = 0, a) as linear equation, b) as homogeneous…

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Q: ) Find the locus of a point, - z = 0, x 2y + z - the sum of squares of whose distances from the 6…

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Q: If T:R2→R2 is a transformation and the action of T is as given, find a formula for T1(V), where Vis…

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Q: 2) Find the Taylor Series centered at x=7 then the first 5 give nonzero terms of the Taylor series…

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Q: Find the standard matrix of the linear transformation T. T: R² -> R² rotates points (about the…

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Q: 4) If f and g are both decreasing on (a,b) then fg must be decreasing on (a,b) 5) If the graph of f…

A: fg is the product of functions.

Q: . (D³ + 4D) y = 5e +3 cos 2x using MUC ; X

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: What does a O(X2) function mean and what does it tell you? What does a o(x2) function mean and what…

A: The notation 'O' refers to big O notation, which is also called Landau's symbol. The notation 'o'…

Q: 1. I. TAYLOR SERIES - Find the approximate value of sin (0.1) using Taylor Series of 0(h³).

A: To find : approximate value of sin0.1 using the Taylor series.

Q: 5. By considering Z[¹+√5]*, or otherwise, show that if n and m are expressible as 2 a² + ab-b² and…

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Q: 26) Setup, but do not evaluate, L4 on y = x² - 3 on the interval [6, 14].

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Q: Find the total upward flux of the field F = across the surface σ: z =1 – 4x^2 – 4y^2 above the…

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Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

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Q: only do the Freed Body Diagram label completely NO NEED FOR SOLUTION

A: The box is expanding along its length at a rate of 3 meter/ minute

Q: 2 COLAS -1 Consider the two bases B= for R² and C= P √2 a.) Compute the change-of-coordinates matrix…

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Q: 3. Draw Venn diagrams for the sets (AUB) nC and AU (BNC). Do your diagrams suggest these sets are…

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Q: If A = 3) (a) A + B 2 -6 9 and B = X (b) B-A (c) 2A + 3B -1 J ↓ 1 -10), find A + B, B-A, and 2A +…

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Q: Find the determinant of each of the following Matrices. D=4 7 0 1752 T 20 C= 1 2 3 100 201 302 300…

A: We have to find the determinant of each of the following matrices. C = 123100201302300600903D =…

Q: Use a computer algebra system to graph one turn of the spiral ramp r(u, v) = u cos(v)i + u sin(v)j +…

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Q: Determine the flux of F(x, y, z) = across the surface with an upward orientation. Let the surface…

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Q: d dy dE = 4x +57 = -4Х-ну a) find the characteristic equation b) solve for the eigenvalues c) solve…

A: dxdt=4x+5ydydt=-4x-4y

Q: let A = 11 -3. 3 T 63 2.3 and b=3 1 -4 2 boron's sdt b017 a) Show that it is impossible to find a…

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Q: IV. Numerical Integration - Find the area bounded by the curve f(x) = (sin x)/x from - 2 to 2

A: The given function is fx=sinxx in the interval [-2, 2]. Our aim is to find the area bounded by the…