Forming Functions from verbal descriptions

A cylindricial can has a volume of 400*3.14cm^3. the material for the top and the bottom cost 2 cents per square centimeter. The material for the vertical surface costs 1 cents per square centimeter. a. Express the cost C of the maerials used to make the can as a function of the radius r. b. Find the minimum cost.

Forming Functions from verbal descriptions

A Car leaves oak cornes at 11:33 a.m traveling south at 70km/h. at the same time, another car is 65 km west of oak corners traveling east at 90km/h. a. Express the distance d between the cars as a function of the time t after the first car left oak corners b. show that the cars are closest to each other at noon.

Given velocity and distance, please find the minimum time.

From a raft 50m offshore, a lifeguard wants to swim to shore and run to a snack bar 100m down the beach. a. if the lifeguard swims at 1m/s and runs at 3m/s, express the total swimming and running time t as a function of the distance b. find the minimum time

Forming Functions from verbal descriptions

A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land. a. express the total cost C as a function of x the distance downstream from the power station to the point where the cable touches the land. b. find the minimum cost

You interviewed an employee of an association representing the tire industry...

You interviewed an employee of an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group asked the U.S. government to require expiration dates for tires. Representatives for the manufacturing industry test the tires, collect data and create graphs of functions to test tire durability. As part of the interviewing process, you try to solve the following problems. 1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. T... click for more