Suppose your friend gives you the following problem There is some function p x that...

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Calculus

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Suppose your friend gives you the following problem There is some function p x that represents profit p in dollars as a function of the number of units sold x Your friend doesn t know what the function p x is explicitly but does know that p x 2 for all x Your friend also knows that p 200 3175 24 Now your friend has enough information to approximate p 203 using tangent line approximation but your friend really wants to know how accurate that approximation will be The question to you then is What can you tell your friend about the accuracy of the tangent line approximation for p 203 given the above information about the function p You may explain yourself mathematically or by presenting graphs or just by discussing in complete sentences

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