CalculusReview

# CalculusReview - find y’ 4 If x x x g 2 cos 1 sin 2 5...

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Name: ___________________________________ Date: __________ MAC2312-Siegel-Fall2011 Calculus Review Puzzle Directions: Solve each problem and then find your answer in the puzzle key. Write the letter that corresponds to your answer in the blank below that corresponds to the problem number. When you are finished, you will spell out a very special message that will hopefully describe your experience in this course. ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ 2 12 3 8 6 10 11 16 5 7 9 ____ ____ ____ ____ ____ ____ ____ ____ !!!!!!!!!!!!!!!!!!!!!!!!!! 1 4 15 14 18 13 19 17 PUZZLE KEY S 2 tan 2 x L C x 1 3 ln 12 5 4 V 1 2 6 4 x e E 2 5 4 ) 5 8 ( 5 ) 2 5 4 ln( 35 2 1 7 2 1 7 x x e x x x e x x O ) 2 1 ( 24 x y I 5 2 4 5 24 x C 6.8 L ) 2 )( 2 ( 3 6 7 x x xy E e e e x F x 4 5 36 4 5 ) ( 3 2 2 A C x x x x 3 2 2 3 2 14 3 7 3 A x x x 4 sin 2 sin 5 cos 6 R C x 15 ) 5 ( 5 3 L 343 ) 46 2 ( 8 2 n n n L C x 4 1 2 1 C 5 ) 6 ( ) 5 ( 5 5 5 e U 6 Y 9 ln 3 208 L C x 3 ln ln 3 1 U C x x 2 1 arctan 2 3 4 ) 1 ( ln 2

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1) Find x x x x x x x 6 4 8 2 lim 2 3 2 3 5 2 , if it exists. 2) If 5 3 128 4 x y , find dx dy . 3) If 1 7 2 ) 2 5 4 ln( 5 x e x x y
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Unformatted text preview: , find y’. 4) If x x x g 2 cos 1 sin 2 5 ) ( , what is g’(x)? 5) Find the equation of the line tangent to the graph of ) 3 ( tan 4 x y at 12 x . 6) Find dx dy for y x y y x 2 7 4 3 2 . 7) If ) sec( 3 2 x e arc y , find y’. 8) Find dx x x x 3 2 7 4 5 . 9) If 3 2 2 5 ) ( ' x xe x F , find the particular solution when F(1) = 9. 10) Find 7 2 7 2 1 n i i f for 2 3 2 4 ) ( x x x f . 11) Find 9 1 1 4 dx x x . 12) Find dx x x 4 3 2 ) 5 ( . 13) Find dx x x 4 3 1 . 14) Evaluate 5 4 5 dx e e x x . 15) Find dx x x 1 3 5 4 3 . 16) Find dx x x ) ln( 1 3 . 17) Find dx x x 3 2 cot csc . 18) Find the area of the region bounded by the graphs of 2 3 1 ) ( x x x f , y=0, x = 3/2 and x = 9/4. 19) Find dx x x 4 ) 1 ( 2 2...
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