A Puzzle by David Pleacher



A game of Scrabble was played by two calculus students, and peculiarly
enough, in the first half of the game, every word was a math word.
The game was played on a regulation Scrabble board using the
standard rules for Scrabble.   The following abbreviations are
used on the board: TWS = Triple Word Score; DWS = Double
Word Score; TLS = Triple Letter Score; and DLS = Double Letter
Score. The chart below gives the frequency and the value of the
letter tiles:
    Tile         Freq.         Value                     Tile         Freq.         Value    
    A         9         1                     N         6         1    
    B         2         3                     O         8         1    
    C         2         3                     P         2         3    
    D         4         2                     Q         1         10    
    E         12         1                     R         6         1    
    F         2         4                     S         4         1    
    G         3         2                     T         6         1    
    H         2         4                     U         4         1    
    I         9         1                     V         2         4    
    J         1         8                     W         2         4    
    K         1         5                     X         1         8    
    L         4         1                     Y         2         4    
    M         2         3                     Z         1         10    
                                    blank     2         0    


Play alternated between the two calculus students until all the tiles were played.   You must determine each word played, correct placement on the board, and the score at the end of the game.

You are given a clue for each word played.   The correct placement of the first letter of each word has been given to you.   Remember that no more than SEVEN additional letters may be placed at one time.

In this game, blanks were played only after all tiles of a particular letter were played (the two blanks were played in move #10 and move #18).

Fill in the score in the chart below:
Score        Clues
    Player 1           Player 2        
     
_____ X 1. The formula     is called the ______ rule.  
    Word begins at (5, 8).
X _____ 2. The function         has two _____ asymptotes.  
    Word begins at (10, 13).
         
 
_____ X 3. The line perpendicular to the tangent line at a point is called the _____ to a curve at that point.  
    Word begins at (5, 6).
X _____ 4. Give the value of x where the function     has a relative minimum.
    Word begins at (7, 9).
         
 
_____ X 5. _____.     Word begins at (7, 9).
X _____ 6. The slope of a curve is the same as the slope of a _____ line to the curve at that point.
    Word begins at (3, 4).
         
 
_____ X 7. What is the x-coordinate of the point of inflection of the graph of ?
    Word begins at (5, 6).
 
X _____ 8.     _____.     Word begins at (9, 12).
         
 
_____ X 9. The function     has a vertical tangent and a vertical _____ at (0, 0).
    Word begins at (5, 11).
 
X _____ 10. A function is said to be _____ upward on an interval if     at each point in the interval
    and _____downward on an interval if     at each point in the interval.
    Word begins at (2, 11).
         
 
_____ X 11. The volume of a _____ is given by   .
    Word begins at (2, 11).
 
X _____ 12. What is the average value of     on the interval [0, 2]?
    Word begins at (3, 7).
         
 
_____ X 13.   _____.
    Word begins at (5, 6).
 
X _____ 14. If   f(-x) = -f(x)   for all x, then f(x) is called a(n) ____ function.
    Word begins at (12, 12).
         
 
_____ X 15. Finding the volume of a solid of revolution rotated about the y-axis
    using the formula  
    is called the _____ Method.     Word begins at (12, 10).
 
X _____ 16.  
       
    Word begins at (6, 14).
         
 
_____ X 17. A dormitory room or suite housing four residents (also, a math prefix for four).
    Word begins at (4, 14).
X _____ 18. To record by making a mark.     Word begins at (1, 1).
         
 
_____ X 19. To enjoy.     Word begins at (15, 12).
X _____ 20. The feeling of happiness.     Word begins at (1, 3).
         
 
_____ X 21. First person plural pronoun.     Word begins at (1, 8).
X _____ 22. An adverb, meaning in what manner or to what degree, as in
    “_____ will you solve this puzzle?”     Word begins at (1, 10).
         
 
_____ X 23. A gesture, usually showing respect, made by bending forward at the waist.     Word begins at (3, 12).
X _____ 24. A type of airplane that does not use propellers.     Word begins at (1, 3).
         
 
_____ X 25. Intelligent, as in “You must be ____ to solve this puzzle!”     Word begins at (14, 10).
X _____ 26. To open the mouth wide.     Word begins at (12, 6).
         
 
_____ X 27. Intention, purpose, or design.     Word begins at (13, 6).
X _____ 28. A mixture of particles and gases that is the result of urban air pollution.     Word begins at (12, 4).
         
 
_____ X 29. Not in danger.   In baseball, not out.     Word begins at (12, 4).
X _____ 30. A structure built by a spider.     Word begins at (1, 8).
         
 
_____ X 31. Ego.     Word begins at (7, 15).
X _____ 32. A conjunction preceding the hypothesis in a conditional statement.     Word begins at (11, 2).
         
 
_____ X 33. The third-person singular personal pronoun used to refer to a non-human entity.
    Word begins at (9, 10).
X _____ 34. A unit of weight equal to 2,000 pounds.     Word begins at (5, 2).
         
 
           
_____ _____ TOTAL SCORE





Send any comments or questions to: David Pleacher