Solve each of the problems below. Find the correct answer from the choices below. Then place the corresponding word in the appropriate blank to answer the two stupid questions.
_____ 1. Determine the constant a in order that the function y = x2 + a/x will have a point of inflection at x = 1.
_____ 2. Determine the volume of the largest right
circular cylinder that can be inscribed in a
given right circular cone with radius 3 inches
and height 9 inches. (Answer is in cubic inches)_____ 3. Determine the minimum point(s) of y = (x+2)2
_____ 4. Where does the graph of y = (x-1)3 have a point of inflection?
_____ 5. Graph y = 2x4 - 4x2
_____ 6. Sketch a smooth curve y = f(x) illustrating f(3) = 4 f''(x) < 0 for x < 3 f'(3) = 0 f''(x) > 0 for x > 3
_____ 7. Determine the constant k in order that the function f(x) = x2 + k/x will have a relative minimum at x = 2.
- - - - - - - - - - - - - - - - - - - - - - - - - - - Answers:- - - - - - - - - - - - - - - - - - - - - - - - - - -
AT (-2, 0) BE (4, 0) COMPOSING 
DECOMPOSING 
EXTRA -54 LARGE (1, 0) MEDIUM 16 IS -1
FORTUNETELLER 
MIDGET 
SMALL 
HE 
STILL 
Question #1 What were the headlines after a midget fortuneteller escaped from jail? Answer: __________ __________ __________ __________ #6 #7 #3 #4 Question #2 Why does Beethoven now spend all his time erasing music? Answer: __________ __________ __________ #5 #1 #2