-prove that for any bounded Set E, There is abounded set A That is a countable intersection fopen sets for which ESA and M (E)=M^ (A) an upper

Q: Q4\ Solve by Gaussian elimination x - 4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

A:

Q: Assuming that the boundary conditions are known, the Ostrokradsky equation for the following…

A: Given functional is Iu(x,y)=∬Ωxux-uxu+yuydxdy Let F=xux-uxu+yuy         (1)

Q: Q1/ Find -1 = s² (s+1)(S-1)²

A:

Q: *? f(x)= x-1+ 5x, what is function linear O non above O Non linear O O O

A:

Q: 8) Evaluate dA, R: 1st quadrant bounded by y² = x & x² = y R 9) Evaluate ff sin (y) dA, R: the…

A: As per our guidelines we are supposed to answer only first question.kindly repost other parts. Thank…

Q: e Fourier transform of the pulse fun x (1) xe-jw xe j 1 0

A:

Q: Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: We have to find the solution of the given problem.

Q: f(x)=sin(x) is of order 1.

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Consider the function f(x) = 2x³-32²-362-6 on the interval [-3, 0]. f(x) is continuous on [-3,0], so…

A:

Q: A scalar field is given by f = x2/3 + y2/3, where x and y are the Cartesian coordinates. The…

A:

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

A:

Q: To which regular set the following regular expression corresponds to? (aa" u ba) + O {\, a, aa, ba,…

A: Here We have to use the properties of regular sets like union and *  and + .

Q: Describe geometrically the effect of the transformation T Let A = -(1) Define a transformation T by…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Solve the given initial value problem and determine how the interval in which the solution exists…

A:

Q: Q3) Find the root of the equation F(x)=x²-3(sinx)² by using Newton Raphson method with initial value…

A: Newton Raphson method Steps Step-1: Find points a and b such that a<b and f(a)⋅f(b)<0.…

Q: B)Z = 1+ Ini, find 121.

A:

Q: Q3 Matlab A) Solve the following linear equations (i.e., determine w,x,y,z values) 4w + y +3z -z =…

A:

Q: Q3: The matrix differential equation of the state variable model of a system has 0 1 -17 A = -8 -12…

A:

Q: Consider the autonomous differential equation dy/dx = fy), where the graph of fis given. Use the…

A: Given  The autonomous differential equation is... dy/dx=f(y) Let us draw the given graph f

Q: Let T: ²->² be a linear transformation that maps u = Use the fact that T is linear to find the image…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: What is the fundamental concept which becomes the basis for deriving the integration formula of arc…

A:

Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

A:

Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

A: We have to sketch the region R and reverse the order of integration and then we have to evaluate the…

Q: Find the general solution of the given differential equation. 2 +10y = 5 dx y(x) = Give the largest…

A:

Q: Consider the function f(x) = 2/x. Calculate the second derivitave at x = 2 numerically using central…

A:

Q: Express in p/q form 1) i) 0.005 ( bar for 005) ii) 1.3 ( bar for 3) iii) 4.78 ( bar for 8

A:

Q: Laplas invees Q1/ Find 1 = s² (s+1)(S-1)²

A: Using partial fraction and standard formulas of inverse Laplace transform, we find the inverse…

Q: Find the third and fourth distribution matrices for the given stochastic matrix and initial…

A: For the solution of the problem follow the next step.

Q: Find the Laplace transform of 03

A:

Q: 2/Solve the following sequence X(n)= n. "u(-n) by using the differentiation property of the…

A: As per the question we are given the following sequence : X(n) = n (1/9)-n u(-n) And we have to find…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A:

Q: * Given vec = 1:10, which statement below produces the same value of s as does the ?following script…

A:

Q: (g) y dx = (y + xy²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli…

A:

Q: 1. Show that the absolute value of Re(z) + the absolute value of Im(z) is less or equal to root of 2…

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

Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

A:

Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

A:

Q: In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter family of solutions of the…

A:

Q: Consider a 3 by 3 matrix A, where a11, a22, a33 and are all zero and a₁1 = a31. Suppose |A| ‡ 0, how…

A: Here we substitute the given values in matrix A and then perform cofactor expansion along first row.…

Q: Q2. Use the Newton Backward interpolation formula to compute f (-0.92) from the following data. -2.0…

A:

Q: Which of the following statements is true? OA is a 4x 3 matrix, then the transformation x→ Ax cannot…

A:

Q: Solve the given initial value problem and determine how the interval in which the solution exists…

A:

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 4) If y = 2√√x - 2 tan¹ √x, then y = 1 + x² * -1

A:

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: Here given polar co-ordinate,  ur, θ=r cosθ+2r2cos 2θ+r2sin2θ  ........ (1) Now it is known that…

Q: AL A.A 2) 12/ 12 25

A: