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An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies water to a depth of e- feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerica values; use variables only.) (a) If 0

An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies water to a depth of e- feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerica values; use variables only.) (a) If 0

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies water to a depth of er feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerical values; use variables only.) (a) If 0 < R≤ 110, what is the total amount of water supplied per hour to the region inside the circle of radius R centered at the sprinkler? 2n(1 - 111e-R) ft³ X (b) Determine an expression for the average amount of water per hour per square foot supplied to the region inside the circle of radius R. (1+R) PR R² ft3 (per hour per square foot)
Transcribed Image Text:An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies water to a depth of er feet per hour at a distance of r feet from the sprinkler. (Do not substitute numerical values; use variables only.) (a) If 0 < R≤ 110, what is the total amount of water supplied per hour to the region inside the circle of radius R centered at the sprinkler? 2n(1 - 111e-R) ft³ X (b) Determine an expression for the average amount of water per hour per square foot supplied to the region inside the circle of radius R. (1+R) PR R² ft3 (per hour per square foot)
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