M408K-TER-Day2-S10 - M408K Third Exam Review Day 2 1)...

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M408K Third Exam Review – Day 2 1) Sketch a graph of the following: A) ln x B) 5 log x C) ln x D)  ln 2 1 x  2) Simplify as much as possible     8 4ln8log x fx e 3) Find all solutions: log log ( 3) 2log (3 2) aa a xx  (Assume 0) a 4) Find (a) the domain of f and (b) 1 f and its domain.    ln ln 2 fx x 
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5) The velocity of a particle that moves in a straight line under the influence of viscous forces is  kt vt c e , where c and k are positive constants. At what time is the particle moving at half its initial velocity? 6) Find dy dx A) 3 1 ln ln 8 x yx e     B) 2c o s 3 ln ( ) x e C)   ln 4 5 xy x  7) Find the absolute minimum value of the function   ln f xx x
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8) Find the derivative of 2 x yx 9) An exercise: A) Sketch a segment of the Sine function, showing at least one full wavelength. B) Sine is obviously not a one-to-one function.
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M408K-TER-Day2-S10 - M408K Third Exam Review Day 2 1)...

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