Employ the following methods to find the maximum of f (x) = 4x − 1.8x2 + 1.2x3 − 0.3x4 (a) Golden-section search (xl = – 2, xu = 4, εs = 1%).

Select all the correct locations on the image. select all the expressions that result in a product that is a rational number. mulitiple choice4/3 x 12/3 32/4 x 15/4[tex]\sqrt{\frac{3}{2} }[/tex] x 22/7[tex]\sqrt{11}[/tex] x 2/3

Which of these triangle pairs can be mapped to each other using a single translation? cof hn

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.)