man is filling up an inverted pyramidal tank with water at a constant rate. The tank has the following dimensions

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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  • A poster must be made with margins: 2.5 cm (top), 1.5 cm (bottom), 1.0 cm (both on left and right sides). Find the dimensions of the poster that would maximize the area that may be printed, assuming that the total area of the poster is 288.00 cm2.
  • A man is filling up an inverted pyramidal tank with water at a constant rate. The tank has the following dimensions: 24 m deep and has a square top with a side of 6 m. Suppose that the water leaks at a rate of 0.5 m3/minute, while the water level rises at a rate of 2.0 m/minute. Determine how fast the water is poured if the water is 6.00 m deep. 
    Use the formula:
    V=1/3*(s2h)

s is the side length of square base, h is the pyramid height.

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