We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
2. (20 points) The function y. = y = 3.2" is in a set of homogenous...
Determine the set of points at which the function is continuous. f(x, y, z) = 7x + 2y + z D = = x, y, z) | 2 24v 7x + 2y } * Need Help? Read It Talk to a Tutor
Solve the initial value problem: y''-2y'+y=0, y(0)=2, y'(0)=1 . A) Write its characteristic equation. B) Write a fundamental set of solutions of the homogenous equation. C) Prove that your solutions from B) are independent. D) Find the solution satisfying initial conditions.
3. Determine the set of points at which the function 2,,2 if (, y r,y)- S continuous. if (x, y)- (0, 0
3. Determine the set of points at which the function 2,,2 if (, y r,y)- S continuous. if (x, y)- (0, 0
(3 points) Maximize the function P = 7x – 8y subject to x > y > 6x + 5y = ( 10x + 2y > ΛΙ ΛΙ V 0 0 30 20 What are the corner points of the feasible set? The maximum value is and it occurs at . Type "None" in the blanks provided if the maximum does not exist.
% → homogenous equation's method y"-yl-2y=0 A E m²-m-2=0 (m-2) (M+0=0 m, ²-1, M2 = 2 2.400 = (-1)-400(-2) = 9670) distinct and . 2x 1. = Ae* + Be" 12
Homogenous equation
1. (2x – y) y = 4y – 3x, y(0) = 2
1. Determine the set of points at which the function (r,y) = cos V1 -2- y2 is continuous. Sketch the region.
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
6. Show that the constant-elasticity-of-substitution (CES) function is homogenous of degree U. f(x,y) = (x + y) (v/p)
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...