Expert: Ahmed Salami - 11/15/2004

Question
A person in a rowboat 2 miles from the nearest point on a straight shoreline wished to reach a house 6 miles farther down the shore. If the person can row at a rate of 3 mi/hr and walk at a rate of 5 mi/hr, find the least amount of time required to reach the house. Find the maximum volume of a right circular cylinder that can be inscribed in a cone of altitude 12 cm and base radius 4 cm, if the axes of the cylinder and cone coinside. To solve this problem, I'm suppose to draw a diagram and label all pertaining parts if possible, write a formula for the thing were trying to minimize and maximize, express this formula in terms of one variable, find restrictions on the variable, and use appropiate methods to find max and min (preferrably using the first derivative and solve that equation).

Answer
Hi Nick,
I've been having my exams at school as well as a project study. I've also been a bit ill which is the reason why i couldn't have responded to any questions at the time.
Please forgive me. This is just to let you know that i always and will try my best to send solutions to questions. Don't be disappointed.
Regards.