Practice Test IIIB for Math 1501, Calculus IILetaandbbe any two positive numbers such thata+b=4.(a)How large canab2be? Find the values ofaandbthat make this as large as possible.(b)How large can(1a+1b)-1be? Find the values ofaandbthat make this as large aspossible.IILetfbe the functionf(x)=px2+2x-px2forx>0.(a)Find all asymptotes of this function, if any.(b)Find all critical numbers for this function, if any.(c)For which values ofx, if any, is this function increasing?(d)x, if any, is this function decreasing?(e)Does the function have an absolute maximum?IIIUse the Mean Value Theorem to answer the following questions. Let
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This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Tech.