We have to find the feasible region.
For this we plot the all the lines and find the common region according to the inequalities.
The feasible region is the shaded region excluding the line
x= - 2 and 2x + y =6

(-2<x<3 21 Graph the feasible region for the system-15y 35 (2x + y<6
Solve the system of inequalities by graphing.
X y < 2x-3 (y24
Need it fast !!
1. Graph the solution region for the following: 2x + y<3 1x – 2y -1
2. (2 points) Use the midpoint rule to estimate (7 – 2x – y)dA over the region D = {(x,y): -1 <r<2, -15y<2} partitioned using the lines x = 0, x = 1 and y = 0, y = 1. Take the sample points to be the midpoints of the sub-rectangles.
3 2 10) Restar y simplificar x²-4 x²–2x U If 2020-07-30 22-35 ndf <
Question 8 a) Sketch the graph of y=sin(x) and y=sin(2x) for 0<xs. b) Show that the area of the region bounded by these graphs is 4
Let X and Y have join density
6 f(x, y) =-(x + y)2, 0 < x < 1, 0 < y < 1
NIS 4) The joint pdf of X and Y is 1, 0<x<1, 0<y< 2x, fx,8(8,y) = { 0, otherwise. otherwise. or 1 (Note: This pdf is positive (having the value 1) on a triangular region in the first quadrant having area 1.) Give the cdf of V = min{X, Y}. x
Find Var(2X-Y)
Two random variables X and Y are i.i.d. and their common p.d.f. is given by f )- c(1+r) if 0 <r < 1. otherwise. f(3) = 10
3. Suppose x,y,z satisfy the competing species equations <(6 - 2x – 3y - 2) y(7 - 2x - 3y - 22) z(5 - 2x - y -22) (a) (6 points) Find the critical point (0,Ye, ze) where ye, we >0, and sketch the nullclines and direction arrows in the yz-plane. (b) (6 points) Determine if (0, yc, ze) is stable. (c) (8 points) Determine if the critical point (2,0,0) is stable, where I > 0.
2. Solve 2 sec @ + tan 0 = 2 cose, 050<21. 3. Solve cos 2x + 3 sin r-2=0, 0 <x<360°.