Math 1172 final exam - Study guides, Class notes & Summaries

Integral of 1/(x^2+a^2) (1/a)arctan(x/a)+C Area between two curves Integral of the upper curve minus the lower curve Volume of a solid Integral of the area How do you use the washer method to find volume? pi*the integral of R^2-r^2 How do you use the shell method to find volume? 2pi*the integral of ro*h Use this method when the rectangles are parallel to the axis of rotation Shell method Use this method when the rectangles are perpendicular to the axis of rotation Washer method...

(T/F) if u and v are not ‖, |scal_v_u|<|u| - True. Geometrically: scal_v_u is the magnitude of the ‖ component of u in the direction of v; the only way that this magnitude can be equal to the magnitude of the vector u itself is if u is in the same direction as v. (T/F) if u and v are not ‖, |scal_v_u|<|scal_u_v| - Not enough information given. Geometrically: scal_v_u is the magnitude of the ‖ component of u in the direction of v. Vice versa for scal_u_v. If the magnitude of u ...