Q4) Find Fourier transform of the functions: 1)f(x)= nxl, x π 3)f(x)=xe-x1, x ER 2)f(x) = 4)f(x) = nxe-x² 0

Q: 2.1: Linear combinations. qy7 Jump to level 1 V1 = 7 -6 3 V2 = 1 5 a₁ V₁ + a₂ V₂ + a3 V3 = -7 Ex: 42…

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Q: Question 2. Consider the function f(x, y) = x³-12xy + 8y³. (a) Find all the stationary points of the…

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Q: √50 Simplify fully 3-√80 Simplify fully Simplify fully √18x√√8 Simplify fully √18+√8

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Q: Determine the solution of the 1st Ordered Differential Equation: (x - y)(4x + y)dx + x(5x - y)dy = 0

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Q: dz dt Find where z = 3x²y³, x = t^and y = t²

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Q: 3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² 9x - 36

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Q: Consider the DE 6 Σ(+1 i=0 d'y (i+1)x¹ = e* - sin 2x. dxi a) Its order is b) Its degree is c) How…

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Q: Construct the difference table from the given data    1. x 0 5 1 4 3 f(x) 1 -14 -6 -15…

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Q: Now, 2₂ = 2₁ = -19 The coresponding eigen vectors are, +1= (1) T₂ = (1) D T 2 2 Hence, the matrix…

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Q: In Exercises 1 and 2, graph the curves and sketch their velocity and acceleration vectors at the…

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Q: The natural logarithm of the final answer must be eliminated, pls show the solution thank you!

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Q: 8. Find the Fourier transform of the following functions sin(57x) a. π.χ

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Q: 12 What is the converse of the statement "If Alicia goes to Austin, then Renato goes to Round Rock"?…

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Q: Consider the DE 10 cost (y")4 +7e²t (y (5)) ¹0 + 2y' = 7t+6t³ a) Its order is b) Its degree is c)…

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Q: A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t is…

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Q: 1. Find the tangent plane to f(x, y) = √√√x² + y² at (x, y) = (6,8). Use the tangent plane to…

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Q: 1. Sketch the graphs of the two functions f : [0, π] → R, g : [0, π] → R wheref(x) = sin(3x), and…

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Q: 5 The number of partitions of n into three or fewer parts turns out to be the nearest integer to…

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Q: Y(s)= What is the value of a? 7s³ +2s² +3s-1 s² +3s +2 Blank 1. = a s+2 + b s+1 +7s - C

A: Solution :  Given that  Ys=7s3+2s2+3s-1s2+3s+2=as+2+bs+1+7s-c

Q: Question 3 For each of the following statements, write the statement as a logical formula, say if it…

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Q: Define the following sets as: A = {1, 2, 3, 4, 5} B = {4,5,6} C = {0,1} Type an element of B x C x A

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Q: Problem 3 Solve the following differential equation problem for x(t) using Laplace Transforms…

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

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Q: 9. Population of bacteria, P, has a fixed relative birth rate birth = ro (so that the absolute birth…

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Q: Determine that each equation is a solution of the given differential equation. y = A sin 5x + B cos…

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Q: traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of…

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Q: 2.2. Suppose £5000 is invested for twenty years, if the interest is compounded annually at a nominal…

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Q: 7. Given the linear system -400 2 1 0 0 98-0 3 12 4 3 (a) Show that there is no value w that will…

A: Given,        A=-400021012  ;X=x1x2x3  ;b=433Thus, the given linear system is AX = b.

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Q: 2) Which of the following statements are true? There may be more than one correct answer. DA. {5} €…

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Q: Using Bisection method determine the xr value of drag coefficient (c) needed after 10th iterations…

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Q: 2x+y+z= −2 x+3y-2z = −11 3x + y = 27

A: Given : The system of linear equations is  2x+y+z=-2x+3y-2z=-113x+y=27 To Find: Solve the given…