Differential And Integral Calculus

Cover Differential And Integral Calculus
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from a building. A man 6 ft. tall walks from the light toward the building, at the rate of 5 ft. per second. Find the rate at which his shadow on the wall is shortening when he is 15 ft. from the building. Ans. i ft. per sec.
^ 16. Solve Ex. 14 if the light is 8 ft. above the ground.
16. An elevated train on a track 30 ft. above the ground crosses * street at the rate of 20 ft. per second, at the instant that an auto- mobile, approaching at the rate of 30 ft. per second, is 40 ft. up the street
.... Find how fast the train and the automobile are separating 2 seconds later.
17. In Ex. 16, find when the train and the automobile are nearest together. ,4ns. ^f sec.
18. A light stands 60 ft. from a building. A man walks along a path 20 ft. from the building, at the rate of 5 ft. per second. How fast does his shadow move on the' building ? ' ^ 19. An arc light hangs at a height of 30 ft. above the center of a, street 60 ft. wide. A man 6 ft. tall walks along the sidewalk at the rate of 4 ft. per second.


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