1)A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground. How fast is the length of the man's shadow decreasing?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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 1)A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground. How fast is the length of the man's shadow decreasing?

2) Suppose one corner of a long rectangular strip of paper 3 cm wide is folded over until it just reaches the oppositeedge, thereby creating a triangle EFG of the area A as in the following gure. What is the largest possible value
of A?

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