- -2-4 For matrix A given by 1 -2 1 2 3 -6 3 6 Find Column space, Null space and Row space of A Also write Basis for each subspace. -2 4

Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a)…

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Q: Hence, find the distance between this point and point Q when a > 2.

A: This is a problem with the Application of derivatives.

Q: 3cos(6x)

A: 3cos(6x) we know formula cos2A=1-2sin2A and Sin(3A)=3SinA-4Sin3A

Q: Find the number of roots of the equation z^4+4z-1=0 in the annulus 1/3<|z|<2.

A: Rouche's Theorem : If f(z) and g(z) are two analytic functions within and on a simple closed curve C…

Q: H) A class contains 10 students, 6 boys and 4 girls. We need to pick 3 students to represent the…

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Q: Let X and Y be topological spaces and let f : X → Y be a function. Prove that the following…

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Q: 3. Find the maximum and minimum values of z-a 1-āz on 2 ≤ 1 (where a with a < 1 is fixed)

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Q: d plans to increase output eks 1; 5; 10; 15. Estimate t

A: Here company A increase its production by 200 each week and company B increase its production by…

Q: 1. Let z, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

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Q: Evaluate the following linear system using Cramer's Rule: a. x-3y +3z=-4 2x+3y-z=15 4x-3y-z=19

A: The given system of linear equations…

Q: > Fill in the missing steps to determine convergence or divergence of the following series (4) + n-1…

A: Given series is ,…

Q: 2Using the spherical coordinate, find the volume of portion of the sphere Jutub x² + y² +²=9 lying…

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Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

Q: 1. One period of a function is shown. Draw two more periods, indicate on the graph 2p and give the…

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Q: 1. An indigenous farmer has a 400 feet of fencing and wishes to fence three sides of a rectangular…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Let AM₁ (R) be given. (a) If AA=0, prove that A-0₁. Does this hold if A € M₁(C)? (b) Suppose that…

A: This is the problem of Linear Algebra and Linear Transformation.

Q: (B) Find all maximal ideals of (Z8, +8,8).

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Q: The task is to identify the solution of the given system linear Ordinary Differential Equations. Use…

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Q: Example 10.22. Using Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx =…

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Q: Example 10.3. Solve y'= x + y, y(0) = 1 by Taylor's series method. Hence find the values of y at x =…

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Q: Example 9.1. Form the difference equation corresponding to the family of curves Y = ax + hr²

A: Please find step by step answer below:

Q: X=2 (mod 10), X=2 (Mod 8), x=o (Mod 6) What is the smallest positive number ?

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Q: Find the zero-divisors of Z6.

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Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

A: Divides the region in two parts .

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. 2y+z+x= 4, 2y+z+x=6,…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let F CK CL be three fields. If L is an algebric extension of K and if K is an algebric extension of…

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Q: B: 2: Find the first 4 terms of the Taylor series for : f(x)=sin лx near a=0.5

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Q: 2°) Write the volume integral of the solid bounded by Z = √ x² + y²² and Z= √2-x²=y2², in a)…

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Q: constants. ple 9.2. From y₁ = A2" + B(− 3)", derive a difference equation by eliminating the

A: Given, yn=A2n+B(-3)n   1 Replacing n with (n+1) and (n+2) in the above relation…

Q: 3. Find the maximum and minimum values of z-a 1-āz on 2 ≤ 1 (where a with la| < 1 is fixed)

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Q: Evaluate the double integral that will solve for the area of the region bounded by y = cos(x) + 5, y…

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Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

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Q: A = {{]-[~-3²2)} and A²={_-¹,1],[9]}. If B=[82] is the matrix representation of linear operator Z:…

A: Given that A = 11 , -23 and A' = 1-1 , 01. Also given that B = 3204 is the matrix representation of…

Q: 3.2. The least squares solution of smallest norm of th in m x n matrix, is given by

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Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

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Q: p(1U1) and p((2U2) 1)). 0.11 0.05 0.07 0.08 0.09 0.10 0.20 0.12 0.15 1 0.03

A: Follow the steps.

Q: 10) Which of the following statements is false? a) fR is reflexive, then RnRep b) ROR' p R is…

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Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

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Q: Use separation of variables to find a product solution to the following: д н ди -u=1.k>0 дх2 дг

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Q: Let K be an extension of be an algebric element o 2 F Show that a ² is algebr

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Q: t if the complex number z is a root of the polynomial f(

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Q: 13. y=√√x-1, x = 5, y = 0; about x = 5

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Q: Evaluate: (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D) show complete solutions

A: We have to evaluate  (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D)

Q: Question (2): Let f,g: R R = R- 0 be any continuous functions. are they homotopic?

A: Two continuous function f and g from X to Y are said to be Homotopic if there exists a continuous…

Q: A transformation T: R² → R², T([x]-[]+[ 7[*]-[x]-[d] is applied to the graph of f. i. Find the value…

A: We have the transformation T:ℝ2→ℝ2,  Txy=xy+d0 and is applied to the graph of f. We are given the…

Q: (B) Give an example for a commutative ring with identity.

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Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. (2.) Refer to…

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Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

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Q: 3:Use Gamma & Beta properties to evaluate : 2x¹e¹-* dx

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Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.