Consider the function i) f(t) = For r. MICHAL a half-ranc 0 <1 < 1/12 1 <1<1 function, f(t)rier co ations series, sketch the graph of the corresponding periodic on the interval [-3,3]. 22

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Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Solve it

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Q: Given a periodic function -x, -L<x<0 { f(x)= x, 0<x<L f(x+4) Therefore L = 4.

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A: Note  Pivots are entries that are used to make zero just above and below rows .

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Q: Determine the form of a particular solution for the differential equation. Do not solve. 9t y"-6y'…

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A: here i used simple graphical method to solve this question.

Q: 1 10. Rotate the region bounded by y=y=9, x = -2, x = 3 about the x-axis.

A: Note: Volume V of revolution about the x-axis is given by V=∫abπ y2dx .

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Q: 23: Test convergence for th 1- En-o)(x + 5)"

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Q: issance d'un son. La formule est P = 10log/. où mètre carré et I = 10-¹²W/m². Détermine d'une…

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Q: Determine whether W = {a + 2x + bx²|a, b = R} is a subspace of P2.

A: Explanation of the answer is as follows

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Q: 1. Find the eigenvalues and eigenvectors of the matrix. -2 A= (-34) -1

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Q: Number 4 only

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Q: The general solution of the DE +4-5y=0 dy² y = Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x…

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A: F=5x+36ysubject to 6x+4y≤354x+6y≤30x≥0, y≥0

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Q: 10 dx 64-Г 3

A: It is known that  ∫0π2sinpt cosqdt=Γp+12Γq+122Γp+q+22. Here, Γx is the Gamma function.

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Q: 9. (a) Show that the functions r(t) = 3et+ 7e-t and y(t) = 3et+21e-t are solutions of the system I'…

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Q: Let 1 < p <∞ and f, g € LP(μ). Then show that ||ƒ +9||p ≤ ||f||p + ||9||p.

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