Question-5: Solve the system of equations by Gaussian elimination: 24 +32 = 8 2.1 + 3y + 2 = 5 x - y - 22 = – 5
1. (10 points) Solve each of the following systems by graphing: 2x + 3y = 6 3x - 2y=6 4x=-6y +12 x-4y=-8 -6 -6 5 4 5 -4. 3. 2 3. -6 -5 4 3 2 1 1 2 3 -6 5 4 -3 -2 -1 1 21 31 4 5 6 1 4 -6 -6 2. (10 points) Solve each of the following systems: (3x - 5y = 11 2x-6y=2 y = 3x + 5 5x-2y=-7)
SOLVE USING DETERMINANTS . SHOW YOUR WORK. 2X -3Y =22 5X+4Y= -1
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
solve for x and y, linear equations using the elimination method 2x+6y=-2 5x-3y=3 and -9x+3y=5 9x+4y=-6 is the following system dependentinconsistent or does it have a unique solution? why is this so? x-8y=9 6x-48y=36
QUESTION 22 Find an integrating factor of the form X"y" and solve the equation. (2x+4y2-9y)dx+ (3y-6x) dy=0, y (1) =1 O A *?y2 – 3x3y2 = -2 08.x2y4 – 3x4y2 = -2 oc 3x²y3 – x3y2=2 00.x2y3–3x3y2=-2 o e 4x2y3 – 3x3y2 = 1
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
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.
3. Suppose x, y, z satisfy the competing species equations 2(6 - 2x - 3y - 2) y(7 - 2.0 - 3y - 22) z(5 – 2x - y -22) (a) (6 points) Find the critical point (0, yc, ze) where yc, ze >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 (1,0,0) is stable, where 8c > 0.
3. Suppose x, y, z satisfy the competing species equations 2(6 - 2x - 3y - 2) y(7 - 2.0 - 3y - 22) z(5 – 2x - y -22) (a) (6 points) Find the critical point (0, yc, ze) where yc, ze >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 (1,0,0) is stable, where 8c > 0.