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Find the slope of the polar curve at the indicated point.r = 5 cos 3θ, θ = 

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 = 4 cos t, y = 4 sin t, π ≤ t ≤ 2π

Replace the polar equation with an equivalent Cartesian equation. 3r cos θ + 5r sin θ = 1

Express the number as the ratio of two integers.0.77777 . . .

Find a formula for the nth term of the sequence.-1, 1, 3, 5, 7 (every other integer starting with -1)

Find a formula for the nth term of the sequence.0, , 0, , 0 (alternating 0’s and ‘s)

Find the slope of the polar curve at the indicated point.r = 8 cos 3θ, θ = 

Find the limit of the sequence if it converges; otherwise indicate divergence.an = 9 + (0.3)n

Solve the problem.Mari drops a ball from a height of 16 meters and notices that on each bounce the ball returns to about  of its previous height. About how far will ball travel before it comes to rest?

Express the number as the ratio of two integers.0.55555 . . .