sec 1.2: Problem 1 Previous Problem Problem List Next Problem (1 point) Which of the following is a solution to the differential equation da = dy = f(x, y) whose slope field is graphed below? 1 1:1 1: 1 TTTT 4:0 OA. y = 23 - x OB. y = sin (x2) Oc. y = 2 sin (x2) D. y = : e 2 OE. y = x- x: Problem 2 sec 1.2 Next Problem Problem List Previous Problem (1 point) Match the slope fields shown below with the differential equations '? v 1. y' = cos(m) '? v 2,:ylzy 7 v 3.3,,'=1+g2 '? v 4.y':m '? v 5.y':m2 ? v 6.y':4y ,,,,,,,,,.,,., r/rr/r/r////// \\\\\\\\\\\\\\\\\\\\\\\\\\\\ x , l \\ l \\ sec 1.2: Problem 4 Previous Problem Problem List Next Problem (1 point) Which of the following are solutions to the differential equation da on dy = f (x, y) whose slope field is graphed below? -4 OA. y = 2-1 OB. y = tan (a) Oc. y = =1 OD. y = 1+2x2 OE. y = tan (3x) OF. y = 1+2 2 Check all that apply.sec 1.2: Problem 5 Previous Problem Problem List Next Problem (1 point) V Consider the differential equations: y' = xy, y = xy, y = xy', y' = -1, y' = acz+ 32 The above slope field is that for which one of these? y' =sec 1.2: Problem 6 Previous Problem Problem List Next Problem my (1 point) Suppose y' : ay) : C 05(22) ' 3f 7 : help (formulas) 3y 0 Since the function f(:c,y) is Choose v at the point (0, 0), the partial derivative if Choose v and is Choose v at and hearthe point 222; (0,0), the solution to y' : f(m,y) Choose v near y(0) = 0 sec 1.2: Problem 7 Previous Problem Problem List Next P'oltiem a! . (1 point) Forthe differential equation (T: : V342 4 does Picard's existence and uniqueness theorem guarantee that there is a solution to this equation through the point 7 v1.(*3,2)? 7 v 2.(1,2)? 7 v 3. (0, 13)? sec 1.2: Problem 3 Previous Problem Problem List Next Problem (1 point) Match the slope fields labeled A through D with the differential equations below. A B D ? " 1. y' = y+ 2x ? v 2. y' = 3 - xy ? v 3. y' = xyty ? ~ 4.y' = y - 2x