compared to the speed at which the man rows.) (Hint: This question is based on EXAMPLE 4 in Section
4.7 of the textbook. However, for this question, the textbook has added a challenge which may require
an unexpected solution. Look for it!)
1
1
km from
C
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12/14/16, 3)50 PM
hw24S4.7
12.
3/3 points |
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SCalcET7 4.7.048.
A woman at a point
A
on the shore of a circular lake with radius 2 mi wants to arrive at the point
diametrically opposite
A
on the other side of the lake in the shortest possible time (see the figure). She
can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle
θ
shown in the
figure will she minimize her travel time?
C

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hw24S4.7
13.
3/3 points |
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SCalcET7 4.7.052.MI.
Find the equation of the line through the point (
3
,
5
) that cuts off the least area from the first quadrant.

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SCalcET7 4.7.070.
A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn
into a narrower hallway 6 ft wide. What is the length of the longest pipe that can be carried horizontally
around the corner? (Round your answer one decimal place.)
21.1
21.1
ft
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