Using Fourier transforms solve J²q(x, T) Əq(x, T) əx² ƏT given that q(x,0) = S(x).

Q: 8 Let u 6 5 and A = 48-4 10 5 Is u in the subset of R3 spanned by the columns of A? Why or why not?…

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Q: (D² +6D² + 12D+8)) = 0 3

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Q: Let V be a vector space over some field F and let L = {V₁, V₂, ..., Uk} CV be a finite linearly…

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Q: 2. Find the solution to the following non-homogeneous heat equation with given initial and boundary…

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Q: 13. Use long division to find the quotient and remainder: 14. Use long division to find the quotient…

A: Quotient and remainder using long division

Q: Roboto : Prove: 6. Alternate Exterior Angles Theorem Given: pllq 21 22 14px Two-Column Proof n H lo…

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Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: It is provided that f(x)=sinx-x and the initial approximation of the root: p0=0.5. The number of…

Q: action: Solve for the at the given initial point, relative error, and number of iter of iterations…

A: In mathematics and computing, a root-finding algorithm is an algorithm for locating zeros, also…

Q: C. From the piecewise function given below, i. ii. (3x-1, x 3 check whether the limit exist at x =…

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Q: Problem 1: (a) Compute 13-1 (mod 23) by enumerating multiples. Show your work. (b) Compute 13-1 (mod…

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Q: matrix using chio'

A: Given matrix is A= 0406125-5-2017109-5-2825-62111-10-3-1595-7512016-17812-2

Q: Which of the following equivalences is true? Select one: On is even ⇒ 2n is even On is odd 2n + 1 is…

A: We want to find true option.

Q: 3- Let X = {a, b} write a large Topology on X. 4- If A CX, find A' for (X.I).

A: (3) It is given that,  X = a, b. Then we have to write a large Topology on X. (4) It is given that,…

Q: (iii) af A function is analytic if = 0. Prove that f(x, y) = az x-1-ty (x-1)²+y² is analytic.

A: The given function is f(x,y)=x-1-iy(x-1)2+y2. To Prove:  f is analytic, using the fact that "A…

Q: Sunlight is a mixture of all colors. When sunlight passes through water, the water absorbs different…

A: Given- Sunlight is a mixture of all colors. When sunlight passes through water, the water absorbs…

Q: Let P(n) be the statement n is odd and Q(n) be the statement n is prime. Which of the following…

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Q: How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in…

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Q: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: Find a polar equation for the conic that has its focus at the pole and satisfies the…

A: We need to determine the polar equation of the hyperbola which has its focus at pole, e=54 and the…

Q: the cell phone company buys iphones at php 24,000 expenses are set at 17% of the selling price in…

A: According to the given information: A cell phone company buys iphones at a cost of php 24000. Other…

Q: calculate the following X= (455.2, 676.7, 784.7, 349.1, 437.5, 678.3, 760.2, 788.4, 278.3 and 455.2}…

A: As per the question we are given the following data set : X = {455.2, 676.7, 784.7, 349.1, 437.5,…

Q: Maximize z = x + 3y subject to x + 2y ≥ 8 x + y ≤ 6 x ≥ 0 , y ≥ 0 What is the optimal value of the…

A: Linear programming, graphical method problem

Q: ) Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours…

A: Let Bob takes x hours to finish the job. So, Trinity takes 2x hours to finish the job. Roger takes (…

Q: Let R be the region bounded by y = 5.5√√x, x = 3.5 and the x axis. R appears below. 10- Volume =…

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Q: The height of a rectangular box is increasing at a rate (2m/s) while the volume is decreasing at a…

A: Use the following formulae, to obtain the solution. Volume of the cuboid is given by the formula…

Q: Given y(4) 2y"" – 4y" + 8y' = t² - 7+t sint, · determine a suitable form for Y(t) if the method of…

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Q: Given A and b to the right, write the augmented matrix for the linear system that corresponds to the…

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Q: x Compute the following: 9-2²" S; doc

A: Introduction: To determine the functions that will characterize the area, displacement, and volume…

Q: 1-x² LITT 1- y² dy dx. (a) Sketch the region of integration. (b) Give a geometric interpretation of…

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Q: 1.) Find a Frobenius type solution around the singular point of x = 0. x²y + (x²+x) y'=y=0

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Q: Let T: R2 ⟶ R3 such that T(a1, a2) = (a1-a2 , a1 , 2a1 + a2) Let β = {(0,1),(1,0)}       γ =…

A: Let T: R2 ⟶ R3 such that T(a1, a2) = (a1-a2 , a1 , 2a1 + a2)  β = {(0,1),(1,0) and γ =…

Q: 2. (D² - 1)y: = 2 1+ex Required: ** ** Complete Solution in getting the complementary function…

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Q: Let p: The Earth is round. q: Some cows have spots. What is ~pvq ?

A: Given statements are, p : The Earth is round. q: Some cows have spots. Now, negation of p (~p): The…

Q: 15. Find the SET of sequential limits of (x_n) where x_n = sin (n(pi)/4) Ir

A: Given sequence is xn = sinnπ4

Q: Name the number 9,258, 137, 904, 061 using words.

A: Given number is 9,258,137,904,061   To Name: The given number using words

Q: fx(x-1)³ dx

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Q: A chemist has two acid solutions, one that contains 14.0 % acid and another that contains 27.0%…

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Q: Merc D If x_n converges there is to x, then for any & So natural number N such that n2N implies x_n…

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Q: 6. We can evaluate π by use of the equation 0.5m-tan-¹(1/2)+tan-¹(1/3). Meaning of this equation is:…

A: Given that: 0.5π=tan-112+tan-113. 0.5π in radians is a sum of an angle corresponding to tan-112 in…

Q: Decode the following one-word message, which was encrypted using the encoding matrix A = [-51 0 7 91…

A: Given: Encoding matrix A=3-45-1 and the message -51    0    7    91    24    91    14    63 To find:…

Q: Determine the mean and the rms values of the following by direct integration method a. f(t) = sint…

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Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a…

Q: What is the maximum altitude of that object? (Hint: Think about what declination is measured…

A: Given: Observer's latitude is 20 degrees (North) Declination can be -40 degrees To find the object's…

Q: Question: The following partial differential equation a²U = a əx². du Ət Find the finite difference…

A: Given partial differential equation  ∂U∂t=α∂2U∂x2 ……………………………(1) Discretization schemes…

Q: Let Σ (-1)+¹, be a convergent alternating series with terms that are nonincreasing in magnitude. Let…

A: From given explanation we can conclude the error estimation between the sum s and the nth partial…

Q: 2) Let V be an F vector space and let V₁,..., Vn be a subspaces of V. The point of this problem is…

A: (a) If V1 , V2,... are the distinct subspace of vector space V over field F then V(F) can be written…

Q: raw the Projections of the curve on

A: Given,        r(t)=t, sin(t), 2cos(t)

Q: 2) Let V be an F vector space and let V₁,..., Vn be a subspaces of V. The point of this problem is…

A: NO, Because the definition of direct sum in vector space can be defined as  V = V1+V2+......+Vn and…

Q: Determine the bn of nth partial sum of the Fourier Series of the periodic function f(x) x + 1, [-n,…

A: We determine bn of nth partial sum of the Fourier series of f(x)=x+1, [-π,π].

Q: Find the solution of the initial value problem y" + 2y' + 10y = 0, (7) = 0, y () Y y(t) = = = = 12.…

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