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PracticeTest1

# PracticeTest1 - Practice Test#1 MAC2312 Directions Use this...

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Practice Test #1 MAC2312 Directions: Use this practice test as a guide for your study for Test #1. This exam is not comprehensive, so study your quiz, class notes and homework problems in addition to completing this exam. Solutions are posted on the course websit e under “Solutions”. 1) Use hyperbolic function identities (not definitions) to prove that 1 ) ( csc ) ( coth 2 2 x h x .Start on one side and do one step at a time to show equivalence to the other side. 2) For the function 3 ) 2 sinh( ln 6 ) ( x x f , find ) ( x f dx d . Simplify completely. 3) Find the indefinite integral dx x 5 4 9 2 . (Hint: Use a formula from Section 5.9). 4) Find the area between 1 4 ) ( 2 x x x f and 1 ) ( x x g by doing the following: a) Sketch both functions on the same coordinate axes. b) Find the x-values where the functions intersect. c) Find the area of the region(s). 5) Find the area of the region bounded by 2 5 y x and 3 y x by doing the following: a) Sketch both graphs on the same coordinate axes.

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PracticeTest1 - Practice Test#1 MAC2312 Directions Use this...

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