Question

1) A man is in a boat 2 miles from the nearest point on the
coast. He is to go to point *Q*, located 3 miles down the
coast and 1 mile inland (see figure). He can row at a rate of 4
miles per hour and walk at 4 miles per hour. Toward what point on
the coast should he row in order to reach point *Q* in the
least time? (Round your answer to two decimal places.

2) Find the differential *dy* of the given function.

y = e^{−0.7x} cos 7x

will you please answer both? would be really appreciated

Answer #1

solved in sheet

A small island is 3 miles from the nearest point P on the
straight shoreline of a large lake. If a woman on the island can
row a boat 3 miles per hour and can walk 4 miles per hour, where
should the boat be landed in order to arrive at a town 11 miles
down the shore from P in the least time?
The boat should be landed _____miles down the shore from P.

A lighthouse is located on a small island 4 miles away from the
nearest point P on a straight shoreline and its light makes five
revolutions per minute. How fast is the beam of light moving along
the shoreline when it is 1 mile from P? Do not round your
answer.

1. A U.S. Coast Guard Response Boat leaves Charleston, South
Carolina at 2:30 a.m. heading due east at an average speed of 49
knots (nautical miles per hour). At 4:00 a.m., the boat changes
course to N 21° E. At 10:00 a.m. what is the boat's bearing and
distance from Charleston, South Carolina? Round all units to the
nearest hundredth.
Bearing from Charleston, South Carolina:? ?° ?
Distance from Charleston, South Carolina: ? nautical miles

2. SECURING THE WORKFORCE Diversity management in
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In light of demographic concerns, in 2012, the Japanese
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What tools could AA leaders have used to increase their
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