A lamina occupies the region inside the circle x + y = 10y but outside the circle x + y = 25. Find the center of mass if the density at any point is inversely proportional to its distance from the origin. (x, 7) = (

Q: Problem 2 Find the QR-factorization of the matrix 1 0 2 2 1 A = 1 -2 -1 -1

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A: We are given a function : f(x)=1-x3 over the interval [0,1]. We need to sketch rectangular approxima...

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A: fr=∂f∂r=∂f∂x×∂x∂r fr=∂f∂r=-3×4ln(3s) fr(2,3)=-12ln(3×3) = -26.36669493

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Q: Use the Newton-Raphson method to determine the real root of: f (x) = -1 + 5.5x - 4x + 0.5x using x, ...

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Q: 2. Find the maximum and minimum of the function f(x,y) 1 subject to the = x² +2y² constraint x + 2x?...

A: Substituting.

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Q: 2. A vector field is specified as G = 24xy ā, + 12(x² + 2)ā, + 18z²ā,. Given two points, P(1, 2, -1)...

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Q: Find the area of the region by double integration. he region enclosed by the cardioid r = 2(1 – cos ...

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Q: w to find this? P is 12, Qis-2

A: (18) Given,                     p5+1+45-1=q+45

Q: - Show that u(x,t) e-a't[A sin(2x) + B cos(Ax)] satisfies the PDE uz = a?uxx for arbitrary A, B and ...

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Q: find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. 1 -1 1 A = -2 1

A: As you mentioned to do just part (a), the answer of part(a) is given in the following steps....

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A: Surface area =2π∫abxx'2+(y')2dt

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Q: Find Domain and Range

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A: We have to evaluate ∬1x2+y2+1dA The region R is in the first quadrant bounded by y=0, y=x and x2+y2=...

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A: In a pairwise comparison method, we compare each option with one another by counting their most pref...

Q: dy The solution of the differential equation using Laplace transform 10y = est is dt „given that y(0...

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Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

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Q: If f:[a, b] →R has a local minimum at p E (a, b) and f is differentiable at p, then prove that f'(p)...

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Q: sir 3rd rule with f

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Q: Construct a matrix system Ax = b, who has a particular solution x, = 1 and the nullspace of the {}} ...

A: This is a problem of linear transformation.

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

A:  

Q: B: Find the area of the shaded region show y y =1+x X=-1- y=-1 Fig(1)

A: According to the given below figure:  area of the shaded region is  ∫y=-11∫x=-1y2dxdy+∫y=12∫x=-1y-1...

Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =...

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Q: Use a double integral in polar coordinates to find the area of the region bounded on the inside by t...

A: Solution:-

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Q: A machinist creates a solid steel part for a wind turbine. The part has a volume of 1,015 cubic cent...

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Q: Set up the box to use Synthetic division to divide on yc 23 + 6x2 + 11r + 6 by a +2.

A: We need to divide x3+6x2+11x+6 by x+2 write it as   

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Q: 0 0 0 A =3 3 0 3 3 0 has two real eigenvalues, one of algebraic multiplicity 1 and one of algebraic ...

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Q: Evaluate the given integral by changing to polar coordinates. x² - y2 dA, where D is the region boun...

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Q: Consider the set V of all vectors of the form (x y 2) where x, y and z arereal numbers 3. Show that ...

A: Given that  V is a set of all vectors of the form x y zT where x , y and z are real numbers. We have...

Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A- () 5

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Q: 8. For the following circuits, find a Boolean expression and construct the truth table. b) A B

A: To find the Boolean expression and construct the truth table :-  

Q: y - 3y + 2y = 3e + 2e2*

A: Let us consider a differential equation of the from y''+py'+qy=Q(x) Then the solution of the differe...

Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: 1 2 1 1. A = 1 -2 -1 -1

A: This is the problem of linear transformation.

Q: A survey of 90 customers was taken at Barnes and Noble regarding the types of books purchased. the s...

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Q: If y, and y, are linearly independent solutions of ty" +4y' + te" y = 0 and if W (y1, y2)(1) = 4, fi...

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Q: 3. Which sentences below are paradoxes? • This sentence is false or 1+1= 2. • This sentence is false...

A: Introduction: A paradox is a self-contradictory statement. For two statements, if the first one is t...

Q: Prove that for every natural number v ≥ 4 there exists a planar graph with v vertices which has all ...

A: Let v∈ℕ such that v≥4. Therefore there exists a natural number k such that v=4k+r, where 0≤r<4. T...

Q: dy 2. 32 +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx ...

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: To calculate the volume of the solid obtained by rotating the below-bounded region about the line y=...

Q: The formula for total variance (SST) is

A: Solution:-