(1 point) View the following limit as a definite integral and then evaluate that integral by the Second Fundamental Theorem of Calculus. lim ntl 7n 7l The above limit is equal to
(1 point) Find the area of the surface generated by revolving the following curve about the axis: x = r cos t, y r sin t, 0 Ï. Area of the surface:
(1 point) The circle x-a cos , y = a sin t, 0 (doughnut). Find its surface area. Area of the torus: t 2Ï is revolved about the line x-b, 0ã
(1 point) Find the length of the following curve: 64 sin* u cos* u- 1 du , ^ Length of the curve: 1.29332162
(1 point) For a certain type of nonlinear spring, the force required to keep the spring stretched a distance s is given by the formula F ks43 If the force required to keep it stretched 8 inches is 2 pounds, how much work is done in stretching this spring 27 inches? Amound of work done: inch-pound(s)
(1 point) The masses and coordinates of a system of particles are given by the following Find the moments of this system with respect to the coordinate axes, and find the coordinates of the center of mass. Moment with respect to the x-axis: Moment with respect to the y-axis: Center of mass: (
Show transcribed image text(1 point) View the following limit as a definite integral and then evaluate that integral by the Second Fundamental Theorem of Calculus. lim ntl 7n 7l The above limit is equal to (1 point) Find the area of the surface generated by revolving the following curve about the axis: x = r cos t, y r sin t, 0 Ï. Area of the surface: (1 point) The circle x-a cos , y = a sin t, 0 (doughnut). Find its surface area. Area of the torus: t 2Ï is revolved about the line x-b, 0ã
