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.
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Answers:
| AT
|
(-2, 0)
|
| BE
|
(4, 0)
|
| COMPOSING
|
|
| DECOMPOSING
|
|
| EXTRA
|
-54
|
| LARGE
|
(1, 0)
|
| MEDIUM
|
16
|
| IS
|
-1
|
| FORTUNETELLER
|
|
| MIDGET
|
|
| SMALL
|
|
| HE
|
|
| STILL
|
|
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Question #1
What were the headlines after a midget fortuneteller
escaped from jail?
Answer: __________ __________ __________ __________
#6 #7 #3 #4
Question #1
Why does Beethoven now spend all his time erasing music?
Answer: __________ __________ __________
#5 #1 #2
