Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show that (10/3, 10/3) is an equilibrium, and use the analytical approach to determine its stability.

Find the derivative of y with respect to x if y = (10x- 20x +20) ex. %3D dy dx (1,1) e Fntor voupncwor in the 2ncwor bay Show 4 (3x + 4) = 3 %3D - 3(3x + 4)² . 3 stmplify

Find the linearization L(x, y) of the function f(x, y) = (x^3)(y^6) at the point (-2, -2).

9. Let y=3x+2 a) typically we write points in this scenario as (x,y), not (y,x), why is that? b) on a horizontal axis, represent 3 things: x=-2, x=4, and Δx=4-(-2). c) on a vertical axis, represent 3 things: y=-4, y=14, and Δy=14-(-4). d) draw a sketch of y=f(x) which includes the points (-2,-4) and (4,14). Mark and label Δx and Δy for those two points on this graph. e) calculate that rate, then write the change equation for x and y f) if the change in x is 2, what is the change in y? g) if the change in y is -12, what is the change in x? h) if we swapped x and y (with x on the vertical axis so x=g(y)), what would the rate be?