Tugas 1
Problem 1
Race car, rate of change of distance: A spectator is at a car race. When a car is
approaching point A at 120 mph = 176 ft/sec, and is 100 ft from A, how fast is the
distance, h, between the spectator and the car changing?
Problem 2
Business Problem: Cost of construction and optimum route: Towns A and B are on
opposite sides of a ridge. A road with a tunnel with a tunnel under the ridge is to be built
connecting them. The cost of construction is $0.5 million per mile on the level ground
beside the ridge, and $2.0 million per mile for a tunnel and road under the ridge. Find the
lowest cost route for the road.
We can describe the situation as in the diagram. Let H be the length of the tunnel
portion, 5 - L be the length of the level portion beside the ridge. We can express the total
cost in terms of the lengths 5 - L and H and the cost per mile of each type of construction.
Using millions of dollars:
Problem 3
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