Writing Equations from Word Problems : Time and Distance, Two Moving Objects

At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At the same time, bike B is 2 km east of C and traveling east at 12km/h. a. Show that t hours after 2:00 p.m. the distance between the bikes is: square root (400t^2 - 80t + 20) b. At what time is the distance between the bikes the le ...continues

Writing Equations from Word Problems : Volume of a Box and Minimum Volume

A box with a square base and no top has a volume of 8m^3. The material for the base cost $8 per square meter, and the material cost for sides costs $6 per square meter. a. Express the cost C of the materials used to make the box as a function of the width w of the base b. Find the minimum

Writing Equations from Word Problems : Cost of Materials for Making a Cylindrical Can

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 materials used to make the can as a function of the radius r. b. Find the minimum cost.

Writing Equations from Word Problems : Time and Distance, Two Moving Objects

A Car leaves Oak Corner at 11:33 a.m traveling south at 70km/h. at the same time, another car is 65 km west of Oak Corner 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 Corner. 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 ...continues

Trigonometry word problems

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 ...continues

1. Find the exact value of the sine, cosine, and tangent of the angle. 11pie/12 2. Find all solutions of the equation in the interval [0, 2pie). Sin(x-5pie/6)-sin(x+ 5pie/6) =1 3. Find the exact value of sin2x using the double angle formula. Please help explain the use of the double angle formula. Sin x=1/7, 0

Non-Equivalence of Vectors and Elimination Versus Substitution

1. Explain why vectors QR and RQ are not equivalent. 2. Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.

Trigonometry Application Word Problems

Researchers at the National Interagency Fire center in Boise , Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States . In an effort to dispatch firefighters for containment , scientists and meteologists attempts to forecast ...continues