Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc) and state the domain range, and maximum r-value of the graph. State whether the graph is continuous and whether its bounded. Describe any symmetry the graph has Give the equations of any asymptotes or state that the graph has no asymptotes.
Theta= pi/5

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x

Determine the solution for mc001-1.jpeg

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)