Posted by Steve on Monday, November 30, 2009 at 4:47pm.
Can anyone help me with these two optimization problems?
A boat leaves a dock at 9:00 P.M. and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 10:00 P.M. How many minutes after 9:00 P.M. were the two boats closest together? Round your answer to the nearest minute.
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 3 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be located? (Give your answer correct to two decimal places.)

Calculus  bobpursley, Monday, November 30, 2009 at 4:59pm
write the position of each boat as a function of time. Then, write the distance equation between those positions. Then, minimize.
On the second, make a diagram,going up the river L km, then across the river some distance. WRite the cost function as a function of L.
Answer This Question
Related Questions
 calculus  a boat leaves a dock at 2:00 pm and travels due south at a speed of ...
 Calculus (math)  A boat leaves a dock at 2:00 P.M. and travels due south at a ...
 Calculus (math)  A boat leaves a dock at 2:00 P.M. and travels due south at a ...
 calc  A boat leaves a dock at 3:00 PM and travels due south at a speed of 20 km...
 calculus  Boat A leaves the dock at 12pm heading due South at a constant speed ...
 Precalculas  Boat A leaves a dock headed due east at 1:00 PM traveling at a ...
 Precalc  Boat A leaves a dock headed due east at 1:00PM traveling at a speed ...
 Calculus  At 2:00PM boat X is heading due west at 15mph towards a dock that is ...
 Algebra 1  A boat towing a water skier leaves a dock and travels east at a ...
 math  a boat leaves a dock at 2:00pm ,heading west at 15 km/h. another boat ...
More Related Questions