Find the values of x, y and z using Gauss Jordan method. 3x +4y +z = 10 2x – 3y+ 5z +9=0 * +2y – z = 6

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A: Here given characteristic function as χEx=1x is rational0x is irrationalwhere x∈0, 1 Clearly χEx is ...

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Q: 18. Ris the annulus in the first and second quadrants bounded by x +y² = 9 and x² + y = 36; 8(x, y) ...

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Q: -1 2 What valuls e a, b, c,d that that mwhe this - 1 - 5 5 consitents - 2 A xc B --- ~

A: We have to check whether given system is consistent or not?

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = x2, y = 2x

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Q: Suppose R* = Span (v,.,V4}. Explain why {v1,.,V4} is a basis for R*. 1**,V ... Complete the explanat...

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Q: 3. Let f(г) — 1+х+z? + 23 + 4 + 25. (a) definition of Taylor polynomials. Find T3(x), the Taylor pol...

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Q: ... M Gmail O Maps YouTube Question 2 If f (r, y) = Va + y³ In(x² +y²)e*in(zy+y°) +x² + 10y³ , then ...

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Q: 4. Evaluate Ja- (Iz + i[2022 + Im (z))dz. Iz+i|=2

A: The given integral is: ∫|z+i|=2z+i2022+Imz dz The equation of the circle centered at z=a with radius...

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Q: Find the Laplace Transform of the solution to each of the following IVP's without solving the ODE (b...

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Q: 11. Find the partial sum of the following series using the first five terms and determine the error ...

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Q: 2. i) Give an example of a nonzero continuous function f on [0,1] such that f(x)dx = 0.

A: We have to give an example of a nonzero continuous function f  on [0,1] such that  ∫01f(x)dx = 0   

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Q: Let h(x, y) = x² + 3xy - 6y. In what direction does h increase most rapidly at the point (3, 2)? (a)...

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Q: Graph the curve x = 2 cos(theta) − cos(2theta),     y = 2 sin(theta) − sin(2theta) If this curve is...

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Q: [32] Consider the initial value problem y"(t) + 2y'(t) + y(t) = 8e*, y(0) = -3, y'(0) = 2. (a) Trans...

A: Solve the differential equation, by using Laplace transferom.

Q: 9 If a function is continuous ( can be drawn by a pencil without lifting the pencil from the paper.)...

A: (Slope of normal) × (slope of tangent) = - 1  

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Q: The maximum directional derivative of f (x, y, z) = x² sin(zy) – yx + 10 | at (-1, 2, 0) is

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Q: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

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Q: 3. Find the volume of the solid of revolution when the region below y = x + 1 and between x = 0 and ...

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Q: 16. Ris the circle sector bounded by x + y = 25 in the first quadrant; 6(x, y) = (vx² + y² + 1)kg/m²...

A: Introduction: The formula of the mass of the lamina with density function δ(x,y) on the region R is ...

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Q: 7. Variable represents students, y represents courses. M(y) rep. y is a math course, F(x) rep. x is ...

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Q: Determine the real root of 8(sin x) e-x- 1 = 0 with x0= 0.30 using Newton-Raphson Method until absol...

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Q: Solve for the Laplace transform : (number 10)

A: Laplace transferom of the function.

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Q: Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the formula (A ...

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Q: IfY y = goes through B (2, 8) wWhat is an equation of the normal to the curve at B? y = 4x y3D 글 + 8...

A: To find  The equation of normal to the curve at point B. 

Q: Let X be a set with more than one element. (X,t) is a topological space such th Vxe X,{x} eT then (X...

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Q: A. Bisection method 1. Consider finding the root of f(x) = x² - 3. Let ɛstep = 0.01, Eabs = 0.01 and...

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Q: 4. In the box below, construct a proof of the following claim. Hint: Use a proof by contradiction. I...

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Q: n2n n=1 (1+n)³n converges O diverges

A: It is given that ∑n=1∞ n2n1+n3n. Let us denote the general term of the series by un. So we get, un=n...

Q: Use the maximum magnitude of the remainder term to find the maximum error in the following approxima...

A: To find- Use the maximum magnitude of the remainder term to find the maximum error in the following ...

Q: Let {an}-o be a sequence such that ao = 2, a1 = 4, an = 4an–1 – 3an-2 for n > 2.

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Q: Solve for the Laplace transform : (number 12)

A: Laplace transferom of the function

Q: 10. What are the quotient and remainder when a) 44 is divided by 8? b) 777 is divided by 21? c) -123...

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Q: In Exercises 19- 26, find the center of mass of the lamina de- scribed by the region R in the plane ...

A: 19. The coordinates of rectangle are given as 1,-3, 1,2, 7,2 and 7,-3.

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A: Price of tablet = $243 Price of laptop computers = $763 Price of Cell phone = $ 158 Price of DVR = $...

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Q: (-1)h 7^ (n!)? 2? (an+3)! A)is diverget B)is absolutely convergent O is conditionally conveglat

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Q: 8. Solve the differential equatíon (x+ y)* = a² . dx

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