7. Evaluate * 'у 9842у dx2 d*y + 2401y = 0 %3D dx4 y = C;e7* + C2e-7* y = (C, + C2x)e7* + (C3 + C4x)e-7* A. В.

Q: Solve the following LP formulation and determine the number of Surplus units in constraint B. MAX 4X…

A:

Q: 8. A square matrix P has a property that P2 P. If P # 1,, which of the following is true? (a) P is…

A:

Q: 1. Let X be a set and AC X a subset of X. The characteristic function XA is a function with domain X…

A: This is a problem of characteristics functions and domain.

Q: v1 v2 v3 v4 Question: 1.If you agree the graph has an Euler Cycle, write it down, starting at vertex…

A: To find Euler cycle in given graph with starting vertex is v6

Q: Consider the differential equation (x +y)dx- xdy%3D0 with the initial condition that y=1 when x = 1.…

A: The absolute relative error is calculated using the formula: εr=Approximate Value-Exact ValueExact…

Q: Let k: Y → Z to be a map; • Prove that if fo, fi: X → Y are homotopic maps, then ko fo, ko fi: X Z…

A:

Q: Using the Milne's Predictor and Corrector Method, find y(5.5), given the differential equation…

A: Given the differential equation: 6x2dydx+x+y-4=0 To find y5.5 using Milne's Predictor and Corrector…

Q: 8. A lamina occupies the top half of the disk x +y? < 4. The density at any point on the lamina is…

A: If density of a lamina represent by region E  is ρx,y mass M=∫∫Eρx,ydA

Q: 2. Find the solution to the following Laplace equation Vu -0, 0<I<3, 0<y<1 where the boundary…

A:

Q: 9. Suppose F:R³ → R has many derivatives. Explain how to use a shooting method to approximate a…

A: Given,F:R3→R has many derivatives.Boundary value problem is -u"(x)=F(x,u(x),u'(x))     ;…

Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x r SS S- zdz de dr

A:

Q: Find V· (V × F) if F(x,y, z) = 7 sin xi + 9 cos(6x – 7y)j+ 6zk. V·(V × F)

A: The solution is given as

Q: Using the algorithm in LU Decomposition to solve the system of equations, identify the values of the…

A:

Q: A glass window has the shape of a trapezoid with height 4m, width at the top of 5m, and width at the…

A: We have to find the hydrostatic force on the window in Newtons

Q: Show that the opelator Tilol defined by Y=19;)=Tx.-E] *=(h:)is Linear and bounded

A:

Q: . Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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

Q: (a) Consider the initial value problem dy y(0) = 3. %3D dt -3 Does Picard's Theorem guarantee local…

A:

Q: Consider the matrix A below. Find a value of h such that the eigenspace for 1 = -3 is…

A:

Q: the following oroblems In Enee 5, find the expected payoff E of each game whose payoff matrix and…

A:

Q: Match the vector field with its graph. F(x, y) = yi 臺 -6+ + HH H + 三

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

A: We have to evaluate the line integral using Green's theorem and check the answer by evaluating it…

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: Solve the following given differential equation using the method of indeterminate coefficients

A:

Q: H-w.H Find the Volumes for the Sllowing solids w hose heights are defined by ECX,y) and bases are…

A:

Q: Find a Taylor series expansion around x = 1 for f (x) : %3D Input the values of the highlighted…

A:

Q: 2" +1 Ln=0 3"

A:

Q: A cube of side 2 cm is to be made. However, due to erroneous measurement, the actual side of the…

A:

Q: Using modified euler's method, fihd au appn ximate Walve 84 when 4=03,given that ca dy K+y € y= 1…

A: Given that dydx=x+y and y0=1 To find: The value of y(0.3)

Q: а?у" - Згу' + 4у %3D 0, у(1) — 5, у'(1) — 3. || ||

A:

Q: 2 If B→ exp exp ( r* – 2), what is V→XB→? %3D

A: Given,B→=er2-2To find: ∇→×B→

Q: Find the volume of the solid generated by ing the region about tne given line. 2x The region in the…

A: Given: y=2y=2x5x=0 To find the volume  generated by revolving around the given region

Q: 6. Evaluate * d³y__4d²y_ _169dy 3. + 676y = 0 dx3 dx² dx y = Cje-13x + Cze13x + C3e** y = (C, –…

A:

Q: the same account (an

A:

Q: Given the linear system below: a + b + c = 0 2a + 3 b + 5c = 1 4a + 6b + 8c = 0 a. Find the lower…

A: We are given the following system.          a + b + c = 0 2a + 3 b + 5c = 1 4a + 6b + 8c = 0 The…

Q: SOLVE STEP BY STEP SOLVE STEP BY STEP PLEASE VVvvVVVVVvVVVvvVvvvvvvvVVVVVVvVVvvvvvvvyvvvvvvyvvv Let…

A: Given :  A be any commutative ring with unity 1. To prove : (a) Prove that A is a finitely generated…

Q: SOLVE FOR THE LAPLACÊ TRANSFORM OF THE GIVEN EQUATION. 1.f(t) = te-3t cos? 2t 2.f (t) = cosh wt sin…

A:

Q: "he graph of y fx) is compressed horizontally by a factor of eflected in the y-axis. What is the…

A:

Q: Find the eigenvalues A1 < dg and associated unit eigenvectors ū1, ūz of the symmetric matrix 12 A =…

A: Given matrix is A = 12-9-9-12

Q: Let 0 3 Solve the initial value problemm +4 = f(1) with the initial conditions /(0) = 0 and (0) = 2.

A:

Q: Consider the following orthogonal transform in 8 = AX, Show that the average coefficient variance is…

A: Given θ = A X, where θ=θ0θ1, A=a1-a21-a2-a and let X=X1X2 Because, θ = A X⇒θ0θ1=a1-a21-a2-aX1X2, or…

Q: Determine the Laplace Transform of the following functions. 5 2. (e-t – e-t) 2t Problem 2. Which…

A:

Q: Evaluate the line integral S. xyevz dy, C:x = t,y = t²,z = t³,0 < t s 1.

A:

Q: Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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

Q: Compute the determinant of the matrix 3 -1 2 0 0 -1 -1 1 1 and find its inverse if it is invertible.

A:

Q: Find the Theishts ave defined by ECX,y) and bases are the regions bounded by the fallawng fontion in…

A: Volume bounded by xy-plane

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given, yx=13x3. ∴y'x=ddx13x3=13·3x2=x2y''x=ddxx2=2x

Q: 2. (a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r = 2(1+ sin 0), 0<0< 2n.…

A: 2. (a) (i) Consider the given polar curve, r=1+sinθ, where 0≤θ≤2π The Arc Length of a polar curve is…

Q: erin has $52 to spend at the florist. she wants to buy a vase for $11.75 and several roses for $3.50…

A:

Q: What symmetry is present in the strip shown above? O Horizontal reflection O none of the choices O…

A:

Q: Find an equation of the largest sphere contained in the cube determined by the planes r = 1, x = 7,…

A: We have to find the equation of the largest sphere contained in the cube determined by the planes…