2. A rectangular lot is bounded on one side by a concrete wall. The owner wishes to put up fences on the 3 remaining sides. Give the length and the width of the largest lot that can be enclosed if the length of the available fencing material is 800 ft. 3. Sand is being sifted onto a conical pile at the rate of 0.3 ft3 /sec. It was also observed that at any instance, the base diameter of the pile is twice that of the height. How fast is the height of the pile increasing when the pile is 2 ft high?

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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dt
tu2 >16?
92
dt
9ン14.4%
2. A rectangular lot is bounded on one side by a concrete wall. The owner wishes to put up fences on the
3 remaining sides. Give the length and the width of the largest lot that can be enclosed if the length of
the available fencing material is 800 ft.
3. Sand is being sifted onto a conical pile at the rate of 0.3 ft³ /sec. It was also observed that at any
instance, the base diameter of the pile is twice that of the height. How fast is the height of the pile
increasing when the pile is 2 ft high?
Transcribed Image Text:dt tu2 >16? 92 dt 9ン14.4% 2. A rectangular lot is bounded on one side by a concrete wall. The owner wishes to put up fences on the 3 remaining sides. Give the length and the width of the largest lot that can be enclosed if the length of the available fencing material is 800 ft. 3. Sand is being sifted onto a conical pile at the rate of 0.3 ft³ /sec. It was also observed that at any instance, the base diameter of the pile is twice that of the height. How fast is the height of the pile increasing when the pile is 2 ft high?
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