Find an LU decomposition of: 2x+3y-z=5 3x+2y+z=10 x-5y+3z=0

Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A:

Q: Determine whether or not the given vectors in R² form a basis for R². 5 V₁ [] 9 Do the given vectors…

A:

Q: Q5: find the possible solutin area : Max Z= 8x+ 6Y S.To 2X+ 2Y ≤60 2X +4Y ≤ 48 X,Y20

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Q 7- 6 6 -1 0 What is your…

A:

Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

A:

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A: Given simultaneous differential equations are 5d2xdt2+12d2ydt2+6x=05d2xdt2+16d2ydt2+6y=0 subject to…

Q: 2) Consider the following system: x + by = 9 a₁x +9y = -27 Determine the value(s) for a for which…

A: Explanation of the answer is as follows

Q: 1. Write the solution of the system of equations: P₁ = 5p₁ - 4p₂ + e²t; p₂ = P₁; P₁(0) = 2/1, P₂(0)…

A: Given system is p1'=5p1-4p2+e2t,     p2'=p1   Also given p1(0)=32,    p2(0)=-11   To Find: Solution…

Q: (a) dx dy dt + dt dx dy +x=1 dt dt Subject to x=1 and y=0 at t=0 +y=t

A:

Q: Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u;…

A:

Q: Find the Laplace transform of 03

A:

Q: 4. Determine whether the vector functions are linearly independent. Show your work. 1 4². 2t 8t 2

A:

Q: The modulus of 5 + 4i is * O-41 O-√41 O√41 041 The conjugate of (i-i²)³ is O-2-21 2+2i -2+2i Oi-1

A:

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

A:

Q: 2. 5yl-3y/+2y = t³ cos 4t

A: We need to decide if we can apply method of undetermined coefficient to find a particular solution…

Q: 1/ Find maximum,minimum Z= x³y³-12x + 3y + 12. ,and saddle point of the surface

A: Use the method of Lagrange multipliers to find maxima minima of the given function as in next step.

Q: Let K be integer ring module 12 and let I=([4]) and J-([6]) be ideals of K. Then ([0])

A:

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A:

Q: I F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y +…

A:

Q: 2) Consider the following system: x + by = 9 a₁x +9y=-27 Determine the value(s) for a for which the…

A: Use the concept that system of equations is consistent if rank of coefficient matrix is equal to…

Q: 4- which formula gives aproximation of integral f f(z) dz using 4-segments Simpson'srule? a) Is(f) =…

A: Given: ∫abf(x) dx and n=4 To find: Which of following is an approximation of given integral.

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

A:

Q: Let f(x) x² and g(x) = xf(x). Find c = (0, 1) as guaranteed by the Cauchy Mean Value Theorem.

A:

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A:

Q: Let W be the subspace of M10,10 (i.e., 10 × 10 matrices) consisting of all matrices whose diagonal…

A: A basis B for a vector space V is a linearly independent subset of V that generates V.  The number…

Q: The set H={0,1,2}is a subring of (Z4, +4,.4) integer ring module 4. T OF O O

A:

Q: /Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 6 7 8 9 -1 7- 6 6 3 4…

A:

Q: Find the solution of the differential equation using L.T: y'(0) = 1, y(0) = 0 y" +9y = 20e-t

A:

Q: A firm has commissioned an IE to design a trash can with a capacity of 30 gallons. The can is in the…

A: Given: 30 gallons To find: Solution

Q: € N

A:

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral so…

A:

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

A:

Q: Solving the following problem using Fourier transformation method. du d²u = 0, (t>0,-∞0< x <∞0) Ət…

A: We have to find the value of u(x,t)  by using Fourier transform the process is given below

Q: B)ls w = z²1² analytical function or not?

A:

Q: A national chain of clothing goods stores recently sent shipments to the following stores. The…

A: We have to find the cost of jeans and jackets  So we write it matrix form  But here we have 3 stores…

Q: if (1+i)(x+iy) = 2+4i then 5x is: * O 15 O 10 05 O 3 Let z be a complex number such that |z| = 4 and…

A: Given (1+i)(x+iy)=2+4i. We find 5x.

Q: (5) In commutative ring with identity each proper ideal is contained in prime ideal. От F

A:

Q: [[F. F. ds for the given vector field F and the oriented surface S. In other words, find the flux of…

A: To find- Evaluate the surface integral ∬SF·dS for the given vector field F and the oriented surface…

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

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A:

Q: If Z is integers ring, then each non zero element in a proper ideal of Z is......... O (i)…

A:

Q: 2 Express (5+1)² in polar form O 3 [cos 67+isin 67]

A:

Q: 1. Write the solution of the system of equations: P₁ = 5p₁ - 4p₂ + e²t; p2 = P₁; P₁(0)=P₂ (0) = -11

A: Given system of equations are p1'=5p1-4p2+e2t,    p2'=p1   Also given p1(0)=32,   p2(0)=-11   To…

Q: sin x cos x) (2 -

A:

Q: Find the volume of the following solid. The solid above the region R = {(x,y): 0≤x≤ 1, 0≤y≤2-x} and…

A: for finding volume I am using tripple integration and then used the given limit to find the…

Q: In commutative ring with identity each proper ideal is contained in prime ideal. O T OF

A:

Q: )Find volume of body from above Z = 1- y² and below 2 = x² using Triple integration.

A:

Q: By principal of mathematical induction prove that finite product of countable sets is countable

A: