Find the fluid force (in lb) on a circular observation window of radius 1 foot in a vertical wall of a large water-filled tank at a fish hatchery when the center of the window is 7 feet and d feet (d> 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 62.4 pounds per cubic foot. (Recall that in Section 7.7, in a similar problem, you evaluated one integral by a geometric formula and the other by observing that the integrand was odd.) (a) 7 feet (b) d feet below X x² + y² = 1 lb lb

Find the fluid force (in lb) on a circular observation window of radius 1 foot in a vertical wall of a large water-filled tank at a fish hatchery when the center of the window is 7 feet and d feet (d> 1) below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 62.4 pounds per cubic foot. (Recall that in Section 7.7, in a similar problem, you evaluated one integral by a geometric formula and the other by observing that the integrand was odd.) (a) 7 feet (b) d feet below X x² + y² = 1 lb lb

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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Question

please give exact answers, thank you.

Find the fluid force (in lb) on a circular observation window of radius 1 foot in a vertical wall of a large water-filled tank at a fish hatchery when the center of the window is 7 feet and d feet (d > 1)
below the water's surface (see figure). Use trigonometric substitution to evaluate the one integral. Water weighs 62.4 pounds per cubic foot. (Recall that in Section 7.7, in a similar problem, you
evaluated one integral by a geometric formula and the other by observing that the integrand was odd.)
(a) 7 feet
ta
(b) d feet below
2
X
y
x² + y² = 1
lb
lb
x

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