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Compute dy/dx for the function.y = 

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = 5an

Solve the problem.A ball is dropped from a height of 18 m and always rebounds  of the height of the previous drop. How far does it travel (up and down) before coming to rest?

Find the area of the surface generated when the given curve is revolved about the y-axis.y = (3x)1/3, for  ≤ x ≤ 

Solve the problem.A ball is dropped from a height of 50 meters. If each bounce brings it to 90% of its previous height, how far will the ball travel before it stops?

Use the Divergence Test to determine whether the series diverges or state that the test is inconclusive.

Plot the point whose polar coordinates are given.(4, π/2)

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