A rectangular beam is to be cut from a cylindrical log of diameter 12 in. (a) Find the cross-sectional area of the beam as the function of where is as shown in the figure.
A(O) =
(b) Find the maximum cross-sectional area of such a beam. [Hint: Use the fact that sinu achieve its maximum value at
u= pi/2.]
_in. 2

"you know, playing tennis is healthier than watching a tennis match on television," katya remarked to her couch potato brother. in this sentence, healthier is a/an a. superlative. b. comparative. c. positive form. d. adverb.

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

Complete the equation of the line through (−10,3) and (−8,−8). use exact numbers.