Download Sudoku2 - Franklin College - Department of Mathematics and

Name_________________________
Calculus: Review Sudoku
Complete the problems on the back side. Enter the numbers into the puzzle corresponding to
answers of the lettered problems. Then, complete the Sudoku puzzle using the following:
You must fill each row, column, and 3  3 box with the numbers 1 to 9 such that:
 Each number can appear only once in each row.
 Each number can appear only once in each column.
 Each number can appear only once in each 3  3 box.
 There is only one solution for this puzzle.
6
9
7 4
C
D
B
1
2
6
2 9
3
4
3
E
2
8
8 9
4
6 8
H
A
9
G
I
F
2 5
4
6 3
Clues:
A.
The absolute maximum (value) of f ( x)  x 2  4 x  1 on [-5, 0] is _______.
B.
What is the average value of f ( x)  4 x3  3x 2  10 x on [0, 3]?
C.
With f ' ( x) graphed below, at which point is f (x) decreasing?
A
B
 C

D
(2)
D.
C
F.
E
(9)
D
(7)
B
(3)
A
Suppose f ' ( x)  x x  2 x  3 . Which of the following is (are) true?
a. f has a relative maximum at x = –3.
b. f has a relative minimum at x = 0.
c. f has neither a relative maximum nor a relative minimum at x = 2.
2
(1) (a) only
E.
(5)

E
lim
x 1
(2) (b) only
(3) (c) only
(4) (a) and (b) only
(5) (a), (b), and (c)
x2  6x  7
= _________
x 1
An inflection point of g ( x)  xe2 x occurs at x = _______
(7) x = 1
(5) x = 2
(9) x = 0
(2) x = e
2
(6) there is no inflection point
G.
A cardboard box of 32 in 3 volume with a square base and open top is to be
constructed. What is the length of base that will minimize the surface area?
H.
If f ' ( x)  3 x , find the value of the constant, C, such that f (4)  18.
I.
The curve y 
(1) x < 3
1 x
is concave up when:
x3
(2) x > 1
(3) 1 < x < 3
(4) x < 1
(5) x > 3