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first seen date

2025-05-20 07:34:51

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created at

2025-05-20 07:34:51

updated at

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Open Graph

title

william corcio calc blog

description

image

site name

author

updated

2026-02-08 09:06:20

raw text

william corcio calc blog skip to main | skip to sidebar william corcio calc blog Tuesday, April 6, 2010 The tide removes sand from Sandy Point Beach at a rate modeled by the function R, given by A pumping station adds sand to the beach at a rate modeled by the function S, given by Both R(t) and S(t) have units of cubic yards per hour and t is measured in hours for . At time t=0, the beach contains 2500 cubic yards of sand. (a) How much sand will the tide remove from the beach during this 6-hour period? Indicate units of measure. First plug integrate the function at with the x values fnInt(2+5sin(4pi t/25),x,0,6) shoul get = 31.816^3 yds (b) Write an espression for Y(t), total number of cubic yards of sand on the beach at time t. y(t)= fnInt(s(t)-fnIntR(t)) dt +2500 (c) Find the rate at which the total amount of sand on the beach is changing at time t=4. y'(4)= { (15t/1+3t) dt - { (2+5sin(4pi t/25 dt + 2500 = plug in 4 and integrate result =-1.90...

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