Given f(x)= Vx-5;x#5 and g(x)=x+3 Find the domain of (gof)(x)? O All real numbers greater than 5. O All positive real numbers O All real numbers except 5. All real numbers.

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Q: Consider the following differential equation: x?(1 – 2x)y" + 3xy' + (1 + 4x)y = 0 (2) (a) Find the s...

A: This question is solved by frobenius method . Solution of part a and b are given below.

Q: So lve the following equations 1. 。く」 くも uca, o) = o u(1,t)st Qu(っt)

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Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

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Q: Select th -2 12. Perform Gauss-Jordan elimination on the augmented matrix shown 303IO

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Q: Solve each of the following by Laplace Transform: d y dy dr? y (0) = 4 , y" (0) = –2 3.) + 4 + 2 - 6...

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Q: Find an equation of the plane that contains the curve with the given vector equation. r(t) = (5 sin(...

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Q: What is the form of y, given (D² + 9)y = cos3x С. Ур 3D х(Asin3x + Bсos3x) Yp = x²(Asin3x + Bcos3x) ...

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

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Q: Solve the Initial Value Problem: (x + y) + (x + 2y) = 0, y(2) = 3.

A: Given: x+y+x+2ydydx=0y(2)=3

Q: 12 1. F(s) = 3s-4 3s-34 2. F(s) s2 +4

A: Properties of inverse Laplace L-11s-a=eat L-1as2+a2=sinat L-1ss2+a2=cosat   

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Q: use pegasus method (root-finding method) for the function f(x)=x^2-3

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Q: 1. Determine the types of the following partial differential equatio: (a) 4upa - 4uæy + Uyy 4uxy (b)...

A: According to the guidelines I am answering only first question.

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. o -4 sxs 4, -...

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Q: 3. Use the definition to show that the function f(x) = is continuous on the interval [c, o0), where ...

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Q: numerical analysis use newtons method to find the minimum value of the function: experiment with ini...

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Q: Let P be a 3x3 matrix having characteristic roots A1 5, 22 = 0 3 and 23 = 1. Define Q = 3P3 – P2 – P...

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Q: Write a mathematical equation that will give you an answer 09/26/21. Provide a detailed solution.

A: A cubic equation which has roots α, β, μ can be written as follows:  

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

A: The Maclaurin series is a power series. It is a special form of Taylor series about the point x=0. T...

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Q: A regular polygon has a perimeter of 200cm and each of its inte s apothem, its area, and the total n...

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Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 0 2/3

A: The given question is related with orthogonal matrix. Given the matrix ,                            ...

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Q: Q3. A matrix A e C™X" is called skew-Hermitian if A* = - A. Show that skew-Hermitian matrices have o...

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Q: ction f(x)=-

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Q: Use the graph of f(x) to sketch the graph

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Q: 1) Suppose T E L(V) and there exists a positive integern such that T" = 0. (a) Prove that I-T is inv...

A: The complete solutions are given below

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Q: 4.3.1 an < 3x, if a1 = 3, x 2 2, and an+1 = /2(2 + an) %3D %3D

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Q: Given: A(t) = t2 + 4t + 8 a. rearrange A(t) to the form A(t) = c * a(t) for any constant c. b. find...

A: (a) To represent the given polynomial At in the form c·at, choose c.

Q: Identify the equation of a parabola with a minimum value of 1. O f(x) = -(z - 2)² + 3 O f(z) = -2(x ...

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A: Let us consider the parametric equation x=g(t), y=f(t) then  dydx=dydtdxdtd2ydx2=ddtdydxdxdt

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Q: .2 9n-1 is a multiple of 2 for n 2 1

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement, formu...

Q: (- 4, - T< 4, 0<x

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Q: Solve the equation. 12 = n-9 n3D

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 3n7 + 8 n...

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Q: csc h udu = In |cot h u - csc h u| + C

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Q: (b) Consider the integral * x2 cos x dx I = x4 + 5x² + 4° -00 (1) Find the roots of z4 + 5z? + 4. (i...

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Q: 1), n = 1, 2, . .

A: In this question, the concept of mathematical induction is applied. Mathematical Induction Inductive...

Q: e partial different ô'u = 2x +y is

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