Use the char. Method to solve: 1 u = (p² +q²) + (p- x)(q-y), where u(x, 0) = 0 %3D

Q: Assume that A and B are nonempty, bounded above, and satisfy B CACR. Show that sup B < sup A.

A: Introduction: The supremum and infimum properties are the very important properties of any subset of…

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Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9er X' = -4 X + %3D

A: Given equation is, X'=1-441X+4t+9e6t-t+e6t The given equation is in the form of , x'=Ax+f(t)Where…

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

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Q: Evaluate the integral: 3 I= S (³ + 6) [8 (t) + 135 (t – 1)] dt. . -1 Express your answer using three…

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Q: 2. Expand the following function in an appropriate sine or cosine series -1<x <1 f(x) = x|x| %3D

A: Introduction: The majority of phenomena researched in the fields of engineering and science have a…

Q: Find a particular solution to -18.5e-2t 12 + 1 y" +4y +4y = %3D

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Q: O Forthe Bernstein falynominte prove that こニ-x)()c-x) ヒニ。 6 prove tht the set A=, cosser gaCosnx isk…

A: 6. The Euler's formula can be stated as follows: eax=cosx+isinx

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Q: Q2) for the following Matrix 'A', Please determine the following: A = a. Eigenvalue of A b.…

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Q: ALL of the following are properties of continuous functions except O a. h/bis continuous at x = a…

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Q: Solve the given system of linear equations using the Gauss-Jordan elimination method. x + 2y – 3z =…

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Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: x' + 4x + 3y = 0 y' + 3x + 4y = 2e* x(0) = y(0) = 0.

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Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

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Q: Find a Taylor series expansion around x = 2 for f(x) = ln x

A: To find the Taylor series expansion for f(x)=ln(x) around x=2 is given by :-

Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

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Q: 4. Solve the following system of simultaneous linear equations using the Gauss-Seidal method. b. 2r…

A: We have to find the solution to the given system of linear equations by using the Gauss-Seidel…

Q: x? – 9x3 Find Lim x-00 6x3 + 4x A. 0 В. О 3 C. -- 2 O olo

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Q: (9.) r(t) = (1, cos t, 2 sin t)

A: As per your query the solution of question no 9 is given the next step.

Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 8t – t³, In(t))

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Q: Find the mean, median, mode and range of the following data set. 1.9, 2.8, 1.2, 3.8, 3.2, 3.8, 4.3,…

A: Introduction: The first metric is the mean, which stands for average. To find the mean, add all of…

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Q: а), J: Find the length of the curve y=3/7 x, 0<x<3 Length= ]: Find the area of the surface b)…

A: Let us consider the function y=f(x)  The length of the curve in the interval [a, b] is obtained as…

Q: a) Find the value of p such that the series 00 E(-1)2n+1 -1 is a 9-series nºp n=4 Answer: p = b)…

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Q: Vrite the equation in spherical coordir (a) 5z2 = 8x2 + 8y? %3D

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Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: how many kids in a school

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Q: (i) By making the substitution o = tan 0, demonstrate the validity of %3D Parseval's theorem for…

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A: The given matrix is                       A=1-8-8-81-8-8-81

Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = %3D

A: Given system is X'=1-441X+4t+9e6t-t+e6t      (1) Let           A=1-441 The characteristics equation…

Q: Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0) 10x, -…

A: Given linear system 10x1-x2=8-x1+10x2-2x3=5-2x2+10x3=8

Q: SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12 4 X

A: We will have to find the volume of the given solid region.

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Q: (x^2-x)y"-xy'+y=0

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