( - 7)> (" + ")=2(T × 7) Step2 b) Now, .. L. H. S w + v W X w + v W +υ = w X W + w X v = 0 + w X v – V X w – 0 = w X V V X w | = W X V w X v = w X v + w X v 2( w X v = R. H. S . L. H. S = R. H. S W - v w + v ω χ υ Непcе, proved

Q: 3 max z = -X1 + 3x2 s.t. X1 - x2 4 X1, X2 2 ()

A: LINEAR programming problem graphical method

Q: z" + 6z' + 8z = e – 6u(t – 3); z(0) = 2, z'(0) = - 6 %3D

A: Laplace transforms

Q: z2-ze coshw.K (z) z2– 2ze coshw.K+e2a -

A: The solution is given below. Hope this helps!

Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: 1- Find the interval wherex satisfies the equation: 1 3z12 12 6z 19 ) T 4 D) a 3 Tく1,23 T4

A:

Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: Choose the formula for finding the slope m of a nonverticalline that contains the two distinct…

A: Given two distinct points.

Q: 5. Solve V'u = 0 0<r<1 [1 u(1,4) 0 < 0 < T/2 T/2 < 6 < T -1 This is the problem where the boundary…

A: Given: ∇2u = 0, 0&lt;r&lt;1 &amp; u(1,ϕ) = f(ϕ) (let) = 10≤ϕ≤π2-1π2&lt;ϕ≤π

Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac &gt; 0

A: ay'' + by' + cy = 0 and b2 - 4ac &gt; 0 We need to provide the general solution of the given…

Q: In a football match, X is a RV that represents the interarrival time between goals scored by team A…

A: Given thatX - interarrival time between goals scored by team AY - interarrival time between goals…

Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.

A:

Q: 2. Solve for the values of w(t), y(t) and z(t). w" - y + 2z = 3et -2w' + 2y' + z = 0 2w' – 2y + z' +…

A: Given system is w''-y+2z=3e-t-2w'+2y'+z=02w'-2y+z'+2z''=0with   w0=1, w'(0)=1, y0=2, z0=2, z'(0)=-2…

Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: (b) Use Gaussian elimination to find the values of x, y and z: x+2y+3z=10 -x+y+z=0 y=z=1

A:

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

A:

Q: 10--6A Oa) x- -6 V b) x = 6 c)x- 10 V d) x- -2 Oe) x- -8

A:

Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D

A: To check whether a solution is particular solution to ivp , it must satisfy the differential…

Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

A:

Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

Q: Q1 : Find the solution of x, y, z by using Gramer's Rule. 3x + 2y – z = 1 x - y + 5z = -2 2x + y = 3…

A:

Q: b. Min z = 4x1+ 2x2 s.t. 3x1 + x2 2 27 -X1 - X2 <21 X1 + 2x2 2 30 X1 and x2 are unrestricted .

A: Given: Minz=4x1+2x2s.t.3x1+x2≥27−x1−x2≤21x1+2x2≥30

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

A:

Q: Q/3 by limit Sycle solve the system * = -y- x – xy² ý = x- y3 – x²y

A: P(x, y) = - x3-xy2, Q(x, y) = - y3 -x2y.

Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2. If a runner traveled a distance of d(h) = v16h4 in time t(h) = 3h – 3h - 5h2, what is the…

A: We will find the distance as following.

Q: 3. Differentiate. a) M(u) = (1 – 4u²)(u+2) b) g(x) = (-x+3)(x – 10) c) p(n) = (5n+1)(-n²+ 3) d) A(r)…

A:

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

A:

Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

A:

Q: Al Q2/ Choose the correct By using fixed point method, which of the following formulas can use to…

A: The given equation is 3xex=1 on [0,1]. To Find: which of the following is the fixed point iteration…

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: Q.NO.1.Find the dual of following question .Also find its optimal Solution. b) Z = 2x + 3x2 + X3 %3D…

A:

Q: Мaximize p = 10x + 10y + 15z subject to + z s 12 X y - 2x 2y + z 2 14 -y + z 2 4 x 2 0, y 2 0, z 2…

A:

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: 2. Verify that r = Cie +C2 is a solution to a" – r' = 0. Find C1 and C2 so that r satisfies x(0) = 1…

A:

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

A:

Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

A:

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

A:

Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

A:

Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

A:

Q: over a domain of x<-3. 1 Ax) = 7(x+ 3)² + 1 Which table represents the domnain and cange

A: Given :

Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: Use the finite-difference approach to solve y"=-2-(A+x-)y for boundaries y(-1)-0 and y(1)-0 with…

A: image is attached