31. The slope field for a differential equation is shown in the figure. Determine the general solution of this equation. (5 points) O y=CX2 O x=Cy2 O y2- x 2 = C2 O x 2 + y2 = C232. The slope field for a differential equation is shown in the figure. Determine the general solution of this equation. (5 points) O y= Cx 2 O X=Cy2 O y2 - x2 = C2 O x 2 + y2 = C233. The slope field for a differential equation is shown in the figure. Determine the general solution of this equation. (5 points) O y=CX2 O X=Cy2 O x2 - y2 = C2 O x 2 + y2 = C234. The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points. (5 points) X 4 9 11 14 15 )-6 -11 -18 -21 - -12.727 -11.546 -16.273 -13.90935. The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Right Rectangle Approximation, using the 4 intervals between those given points. (5 points) X 9 11 14 15 F(x) 6 -11 -18 -21 -25 -11.545 O -14 -16.273 -18.7536. The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Left Rectangle Approximation, using the 4 intervals between those given points. (5 points) X 9 11 14 15 f(x) -6 -11 -18 -21 -25 -11.545 O -14 -16.273 -18.75