. Let 2 and u are distinct eigenvalues of matrix A, let x be a right eigenvector for 2, and let y be a left eigenvector for u. Show that x and y are orthogonal.

Q: Q.55 Let A E Rmxn, c E Rn and be Rm. Consider the linear programming primal problem (A) crº≥ b yº…

A:

Q: Find a formula involving integrals for a particular solution of the differential equation y" - 21y"…

A:

Q: For this activity consider that you are in the landscaping consultant business for a company…

A: Build a circular fish pond with a specified center point and radius at a given position on a…

Q: Determine wo, R, and 8 so as to write the given expression in the form u = Rcos(@ot 8). - u =…

A:

Q: ≤ t ≤t 1≤1 ≤ 2π O≤1≤t 1≤1 ≤ 2π with a period of 2π with a period of T

A:

Q: The symmetric matrix A below has distinct eigenvalues 28, 35 and 14. Find an orthogonal matrix P and…

A: Given that a symmetric matrix A has eigenvalues 35, 28 and 14.   Also, A=259192241430   To Find: P…

Q: 5. Solve the following linear system using the Elementary Row Operations method. X1 + 2x2 3x3 = -2…

A:

Q: . Find the solution of the given differential equation using the method of undetermined…

A:

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4e* - 12 y(x) =

A:

Q: Determine whether the given set of functions is linearly independent on the interval (-∞, f_ (x) =…

A:

Q: 1. -2y (-e) dx + e dy = 0 + ex

A: Equation is homogeneous so substitute y=vx and get a variable separable equation.

Q: Given the function f(t) = t, -TT ≤ t ≤ T with a period of 2π, find the Fourier coefficient b₁ when…

A:

Q: nd symmetric equations of the tangent line to the curve of intersection of the surfaces z = x² + y²,…

A:

Q: Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto,…

A: Since AN is congruent to NK  Therefore the angles opposite to congruent sides are congruent…

Q: Find the general solution of the equation: anu dyn = 0.

A: Given equation is ∂nu∂yn=0   To Find: General solution of above equation.

Q: Use spherical coordinates to find the volume of the solid. 2 Solid inside x² + y² y² + z² = 9,…

A: The spherical co-ordinate from a rectangular co-ordinate s given as, z=r cosϕx=rsinϕcosθy=rsinϕsinθ…

Q: Let x, y, z be three vectors in R². Assume that & = {x, y}, F = {y, z}, G = {x, z} be three bases…

A:

Q: consider the curve formed by the intersection of the surface (x+z)^2+y^2 =9 and the plane x-2z = 0.…

A:

Q: Find the length of the dashed zig-zag path in the following figure. X1 0.75- 0.5+ 0.25+ 0 0.25 0.5…

A: Consider the following figure. We have to dins the length of the given dashed zig-zag path.

Q: Find the general solution of the given second-order differential equation. 2y" - 5y' +6y=0

A:

Q: A tank contains 100 liters of water and 50 grams of salicylic acid. Water containing a salicylic…

A:

Q: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

A: The given problem is to convert the given triple integral in rectangular coordinates to triple…

Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A: Given that y=xlnx-3x, y=1 bounded by x=3, x=6.

Q: (a) Find the general solution in terms of real functions. (b) From the roots of the characteristic…

A:

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

A:

Q: Find a unit normal vector to the surface x² + 3y +z³ = 147 at the point (5, − 1, 5). O O O 1 √2,636…

A:

Q: Solve the following LPP using Big M-Method. Max P = 3x1 - 2x2 Subject to 2x1 + x2 ≥ 3 x1 + 2x2 ≤ 2…

A: The given problem is to solve the given linear programming problem with given constraints by using…

Q: Use the plot to approximate g(t)dt with TRAP(2). Illustrate or draw a picture of the rule to…

A:

Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

A:

Q: Prove the following statement using induction. Every claim that you make must have a reason. For all…

A:

Q: with the guldin's proposition 1 get the contents of the rotating object that occurs if the land…

A: As per the question we are given a 2d region bounded by the curve : y = 6 - 3x - x2 and the straight…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Question 6 Use the plots to approximate g(t)dt with LEFT(2) and RIGHT(2). Illustrate the rule and…

A: As per the question we are given the graph of a function y = g(x) and we have to find the definite…

Q: Use a Laurent series to find the indicated residue. 5z - 12. z(3-z)' f(z) = Res (f(z), 0)

A:

Q: Which of the following is a general solution to the following: x²y" + xy' + (36x² − 1) y = 0 A. y =…

A: Solution:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Use a double integral to find the volume of the indicated solid. X4 N 10 X=4 z = 10-2 y 2 y=2

A:

Q: Description An airplane wing with a tip tank is modeled as a uniform cantilever beam (El- constant,…

A: it is known that  deflection wx=c1-cosπx2L according to question at x=L deflection wx=c1-cosπL2L…

Q: P = aLK¹-b a>0 and 0 < b < 1 dL giving the total production P from L units of labor and K units of…

A:

Q: ABCDV is a solid glass pyramid. The base of the pyramid is a square of side 3.2 cm. The vertical…

A: Since you have asked a question with multiple subparts, we will solve the first three sub parts for…

Q: Day 2 MATH INVESTIGATION Investigate the trend of the graph of equation write your answer in your…

A: Solution: If the line passes through x-axis and y-axis, then we say x-intercept and y-intercept…

Q: Evaluate the following real integrals by residue theorem 3 03 S <-1 X Sin mx X4 +1 OSH dx πT -m/√z…

A: As per the question we are given an improper integral from -∞ to +∞ and we have to evaluate it by…

Q: Use a line integral to find the area of the region R. R: region inside the loop of the folium of…

A: This is a problem of the area inside a loop of Folium.

Q: = 11. Consider the matrix equation X5 : I2, where I2 is the 2 × 2 identity matrix. Over each of the…

A:

Q: A) Let g(x)=x² (5x+24 x < -3 -3<x<4 (2x+8 x ≥ 4 a) lim g(x), lim g(x) b) Check the continuity of…

A:

Q: Find the general solution in terms of real functions. From the roots of the characteristic equation,…

A: Clear answer is given below handwritten

Q: 7. The multiplier and the MPC Consider two closed economies that are identical except for their…

A: Given Data:

Q: If ƒ` = (x+1)√/x² + y i + ² tan^¹(3x−y)j and ğ=- y at (0,1,²7) 4 find: fxcurl ğ +(g.V)ƒ at x + y…

A:

Q: Given the following periodic function, f(t), find the Fourier series coefficient, ao, where a = =…

A:

Q: (a) For all n N and a # 0, show that ak an k=1 (b) For a sequence (xn) in R, suppose that there…

A: