Atrough has a semicircular cross section with a radius of 9 feet. water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 2 inches per hour. (a) give a function w = f(t) relating the width w of the surface of the water to the time t, in hours. make sure to specify the domain and compute the range too.

(b) after how many hours will the surface of the water have width of 6 feet?

(c) give a function t = f −^1 (w) relating the time to the width of the surface of the water. make sure to specify the domain and compute the range too.

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

Glenda makes an online purchase for picture frames for $12.95 each and formats of $5.89 each the site says it taxes paid by the customer or 6.5% of the total purchase price shipping charges are based on the

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: