A lifeguard on a beach needs to get to a swimmer in the water that is 200ft down the shoreline and 100ft out from the shore. The lifeguard can run 10ft/sec on the beach and can swim 4ft/sec in the water. To get to the swimmer in the least amount of time, how far should the lifeguard run down the beach before swimming out to the swimmer in the water? Approximate your answer to the nearest hundredth.

A lifeguard on a beach needs to get to a swimmer in the water that is 200ft down the shoreline and 100ft out from the shore. The lifeguard can run 10ft/sec on the beach and can swim 4ft/sec in the water. To get to the swimmer in the least amount of time, how far should the lifeguard run down the beach before swimming out to the swimmer in the water? Approximate your answer to the nearest hundredth.

It's Mother's Day and you want to make a wonderful picture for your mom. You know that you will put a nice ribbon on the border of your rectangular picture and that you will put double ribbons on the left and right sides. You have 80 inches of ribbon. What dimensions should your picture have if you want it to have the most area possible without running out of ribbon?

It's Mother's Day and you want to make a wonderful picture for your mom. You know that you will put a nice ribbon on the border of your rectangular picture and that you will put double ribbons on the left and right sides. You have 80 inches of ribbon. What dimensions should your picture have if you want it to have the most area possible without running out of ribbon?

What are the global maximum and global minimum values of the function ?

What are the global maximum and global minimum values of the function ?

Given the function , find at .

Given the function , find at .

Find the maximum value of on the interval .

Find the maximum value of on the interval .