An input-output analysis of a national economy has the following input-output tableau. Agriculture Manufacturing Households 0.245 0.051 0.099 0.279 0.433 0.011 A. Agriculture Manufacturing Households units of Agriculture are used to produce one unit of Households. B. Demand for the three sectors is Manufacturing: $34.1 billion Agriculture: $3.5 billion Households: $34.7 billion Find the amount of each commodity that should be produced. Agriculture: S Manufacturing: S Households: S billion 0.102 0.291 0.372 billion billion

Q: (a) State which of the following matrices are in row-reduced form: 1 0 4 -1 1 -1 0 - - ( ) --- ()…

A: This is a question of linear transformation.

Q: Which of the following functions V(y₁, y2) is a Lyapunov function for the dynamical system y₁ = (4 —…

A: Definition (Lyapunov function):A continuous scaler function V for a dynamical system with Origin as…

Q: Let DE M₂ (R) be idempotent that is different from the identity and zero matrices. Show that the…

A:

Q: Define a relation R on Z as x Ry if and only if x² + y² is even. Prove that R is an equivalence…

A:

Q: Use a double integral in polar coordinates to find the area A of the shaded region shown below. A =…

A:

Q: 1 The continuous function g, consisting of two line segments and a parabola, is defined on the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Let vertices of an acute-angled triangle are A(z₁), B(z₂), and C(23). If the origin O is the…

A:

Q: (B+7B+2015+200+ 190+5)J-22

A:

Q: The linear density of a rod of length 9 m is given by p(x) = 4/√x, in grams per centimeter, where x…

A: The given problem is to find the mass of the rod of length 9m and linear density p(x)=4/√x.

Q: The gradient of the line 8y + 12x = 7   is

A:

Q: A triangular water trough is 6.0 meters long, 1.50 meters at the top, and 1.50 meters deep. Water is…

A: Triangular water trough is 6.0 m long , 1.5 m at the top and 1.5 m deep. The water is pouring at a…

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y = a -…

A: The given problem is to find the area of the largest rectangle that can be bounded by x-axis and the…

Q: - Let f(x, y) = x² + y²-4 and let C be the circle x² + y² = 9 traced once counterclockwise. Evaluate…

A:

Q: Prove that x² +¸µ111² +21112 where prime denotes differentiation w.r.t.s. = 1 o² + 1+p¹² P

A:

Q: 1 Find the area of the region bounded by the x-axis and the graph of f(x)= -over the interval…

A:

Q: Prove that at the point of intersection of the surfaces - (-) where y = x tan 0 the die of curvature…

A:

Q: Caysen and Kyle are selling T-shirts and sweatshirts with the school logo. Caysen sells 6 T-shirts…

A:

Q: 4. The following function f(x) = { 1²,1≤0 -²,0 ≤ ≤1 1-2x, 1≤x

A: Definition is given below.

Q: -2e -2t 4 3 -3x -16x²-5cos (x√√2) -5cos(x√2) 2 3

A:

Q: Consider the relation R= {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)} on the set A = {a,b,c}. Is…

A:

Q: 2. Find the eigenvalues and eigenvectors for the matrix A, solve the linear system *= Ax, determine…

A:

Q: Prove each of the following trigonometric identities. 1. sinxsin 2x+cos x cos2x = cos x T 2.…

A:

Q: Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z…

A: Note: Gauss divergence theorem: Flux=∫∫SF→.dS→=∫∫∫DdivF→dV, where D is enclosed by the closed…

Q: What is the degree of the end behavior asymptote of f(x) = = 0 0 1 02 0 3 04 24+1

A:

Q: 1. Solve the initial value problem: y" - 6y' +9y = 11e³x 43 y(0) = 2/1/1, y '(0) = 14/2/2

A:

Q: When finding the root of equation x³-x²-1=0 near xo=1.5, rewrite it to the following 4 types.…

A: The form of x = f(x) can be chosen in many ways. But we choose f(x) for which…

Q: The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin (1) cos (2¹)…

A: The given function is ht=3sinπ6tcosπ12t, where t is hours past midnight and h is the water level in…

Q: *************** Determine whether the lines intersect, and if so, find the point of intersection and…

A:

Q: Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z…

A: Given: F→x, y, z=x, y, z , z=3-x2-y2 , z=-1 To find the flux of the vector field.

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A:

Q: Let x, y, z be (non-zero) vectors and suppose w = 10y - 5x + 4z. 03 Using the calculation above,…

A:

Q: Prove each of the following trigonometric identities. 1. sin xsin 2x+cos x cos2x = cos x 2. cotx=sin…

A:

Q: If the diffusion equation k ӘФ dt = КФ 0x2 0<x<1, where k = 1

A: Given: k∂ϕ∂t=∂2ϕ∂x2 , 0≤x≤1, k=1 Find the solution of given diffusion equation.

Q: (a) Use mathematical Induction to prove that 4" + 7" + 10 is divisible by 3 for every non-negative…

A: 4n+7n+10 is divisible by 3

Q: Evaluate using L'Hôpital's rule. lim re

A: Given: limx→∞xe1x We have to evaluate the limit.

Q: Let f:B³->B given by f(x, y, z) = (xy + xz)(xy+z) find the fundamental conjunctions

A: fx,y,z=xy+xz¯xy¯+z

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

A:

Q: Evaluate the surface integral F ds for the given vector field F and the oriented surface S. In other…

A:

Q: The piecewise function f(x) is graphed below. Each grid mark is one unit. f(x) -3 -X/25 -5 -1 0 2 2…

A:

Q: tegral for the area of the region bounded by y = 2-x² and y = x². Do no

A:

Q: accuracy. [ƒ (x)dx ≈Aƒ (−1) + Bƒ (0) + Cƒ (1)

A: This is a problem of Real Analysis and Integral Calculus.

Q: Find the solution of the following differential equations. Using Reduction to an equation whose…

A: We have to find the general solution of the given differential equation.

Q: (c) Let 0, w', and z' be the three vertices of the rotated triangle. Show that Re[z] and Im[2] =…

A: Given : Points O0 , 0 , Aa , b and Cc , d on Cartesian plane. Complex numbers w = a + bi and z =…

Q: sufficient condition for a curve to be a helix is The necessary and that its curvature and torsion…

A:

Q: Hank was trying to compute a definite integral using the limit definition, but he got distracted by…

A: limn→∞∑i=1n2+3in·3n

Q: Solve it on the paper! The continuous function g, consisting of two line segments and a parabola,…

A:

Q: 3) Max Z = 4x1 + x2 s.t. min 2x1 + 4x2 ≤ 14 6x1+ 2x2 ≤ 12 Xi ≥ 0

A: The given problem is to find the solution for the given linear programming problem with given…

Q: Solve the LPP problems below by using big M-Method? MIN Z=8X1+2X2 S.T 6X1+2X2=6 8X1+6X226 2X1+4X2<8…

A:

Q: 4. Let T = a) 4, b

A:

Q: 128 128 suppose that Σ α = -3 and b₁ = 3. Compute the sum. i=1 i=1 128 Σ( - 17a; - 12b;) i=1

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…