MATH 032 Final: math30_2007f_final
Document Summary
Indefinite integrals must be in terms of x. Check out useful information in the appendix: find the volume of the solid obtained by rotating the given region about the x-axis. (10 pts) 2 x: find the average value of the function. Evaluate the following indefinite integrals (10 pts each) solutions must be in terms of x. 6: solve the differential equation that satisfies the given initial condition. (10 pts) dy dt sin2= y x y. 2: solve the differential equation: dy dx x y where y(0)=1. 0 (10 pts) Sketch a graph of the solutions that satisfy the given initial conditions on the slope field map. (5 pts: y(0) = 1. 0, y(0) = -1. 0. 0. 5: a function y(t) satisfies the differential equation, find and plot equilibrium points (10 pts, determine whether equilibrium points are stable, unstable (or perhaps something else). (5 pts, a graph of mice population is shown below. Mice population l n o i t a u p o.
