Let f(x) = VT. Find the average value of f on [0, 27].

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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3. Michael and Sam need to get water from a 50ft well, so Michael lowers Sam down the well with two
buckets. Each bucket is filled with 40 lbs of water, but Sam, who is frightened by this spelunking
adventure, spills water from each bucket at a rate of 2 lbs/sec. If Sam weighs 200 lbs and Michael is
raising Sam at 2.5 ft/sec, how much work is done getting Sam to the top?
Let f(x) = (x – 3)².
4. Find the average value of f on [2,5].
5. Find c such that f(c) = fave where fave is your answer to the previous problem.
Let f(x) = Vx.
6. Find the average value of f on [0, 27].
7. Find c such that f(c) = fave where fave is your answer to the previous problem.
Transcribed Image Text:3. Michael and Sam need to get water from a 50ft well, so Michael lowers Sam down the well with two buckets. Each bucket is filled with 40 lbs of water, but Sam, who is frightened by this spelunking adventure, spills water from each bucket at a rate of 2 lbs/sec. If Sam weighs 200 lbs and Michael is raising Sam at 2.5 ft/sec, how much work is done getting Sam to the top? Let f(x) = (x – 3)². 4. Find the average value of f on [2,5]. 5. Find c such that f(c) = fave where fave is your answer to the previous problem. Let f(x) = Vx. 6. Find the average value of f on [0, 27]. 7. Find c such that f(c) = fave where fave is your answer to the previous problem.
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