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