B determine an expression for the average amount of

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(b) Determine an expression for the average amount of water per hour per square foot supplied to the region inside thecircle of radiusR.Solution or ExplanationClick to View Solution16.1/1 points |Previous AnswersSCalcET7 15.4.037.Find the average value of the functionon the annular regionfave=Solution or ExplanationThe average value of a functionfof two variables defined on a rectangleRwas defined asHeresoander,<b.fave=1A(D)f(x,y)dA.DD= {(r,θ) |arb, 0θ2π,}A(D) =πb2πa2=π(b2a2)fave====θr=(2π)(ba) ==1A(D)dA3x2+y2D3π(b2a2)2π0rdrdθb1r2a3π(b2a2)dθ2π0drba3π(b2a2)2π0ba3π(b2a2)6(ba)(b+a)(ba)6a+b
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Term
Winter
Professor
Smith
Tags
Math, Calculus, dr d, Spherical coordinate system, Polar coordinate system, previous answersscalcet7

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