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For this problem, we are given a topographical map of mount washington in new hampshire.
00:06
We are supposed to suppose that a climber is at the base of the mountain and wants to climb to the summit.
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If she can begin at point a, b, c, or d, and climb up, climb straight up the mountain, we are asked for part a, at which point should she start to climb, so the distance climbed is a minimum.
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So, if we look, if we want to climb a minimum total distance, we would want to be, traversing the greatest number of these level curve lines in the shortest sort of distance along this plot.
00:41
And it seems like, based on what we can see, that d is most likely going to be the best choice there.
00:51
We're also asked, at which point is the climb initially the steepest? now, we can compare each one of our points.
00:59
Whoops.
01:00
Point d, we can see those contour lines are pretty packed together.
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Point c, they look a little bit more sparse.
01:07
Same thing for point b and point a would be the most gradual slope.
01:12
So we can say that the answer for part a and b is both the same...