<Text-field layout="Heading 1" style="Heading 1">Lost at sea</Text-field>

GroupHomework #7 Put group member names here

A man is in a boat 4 miles off a straight coast. He wants to reach a point 10 miles down the coast in the least possible time. If he can row at a speed of 4 miles per hour and run at a speed of 5 miles per hour, where should he land the boat?

<Text-field layout="Heading 1" style="Heading 1">Two ships passing in the night</Text-field>

A boat leaves port at midnight heading due east at 20 km/hr. A second boat heading due south at 15 km/hr arrives in port at 1 am. At what time are the two boats closest together? How close do they get?

<Text-field layout="Heading 1" style="Heading 1">Ladder</Text-field>

A 20-foot ladder is leaning against a wall. The bottom begins to slide away from the way at a rate of 1 foot per second. At what rate is the top of the ladder sliding down the wall when the bottom is 12 feet away from the wall?

<Text-field layout="Heading 1" style="Heading 1">Newton</Text-field>

a) Explain what happens if Newton's method is used on the function NiMvLUkiZkc2IjYjSSJ4R0YmKUYoKiYiIiJGKyIiJCEiIg== starting from NiMvJkkieEc2IjYjIiIhIiIi. Why?

b) Explain what happens if Newton's method is used on the function NiMvLUkiZkc2IjYjSSJ4R0YmLUkkZXhwR0YmNiMsJEYoISIi starting from NiMvJkkieEc2IjYjIiIhRig=. Why?