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Evaluate the geometric series or state that it diverges.1 +  +  2+  3 +  4 + . . .

Express the number as the ratio of two integers.0.88888 . . .

Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5 cos t, y = 5 sin t, π ≤ t ≤ 2π

Find the limit of the sequence if it converges; otherwise indicate divergence.an = 4 + (0.8)n

Express the number as the ratio of two integers.0.22222 . . .

Find the area of the surface generated when the given curve is revolved about the y-axis.y = , for 8 ≤ x ≤ 10

Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 55 N. How much work is done in stretching the spring 3 m from its equilibrium position?

Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 45 N. How much work is done in compressing the spring 1.5 m from its equilibrium position?

Find a formula for the nth term of the sequence.-3, -2, -1, 0, 1  (integers beginning with -3)

Compute dy/dx for the function.y = sinh2 8x