Mr. Meinzen - Advanced Placement Calculus AB

Cooperative Learning Assessment Bonus
Score Sheet

<<<<< Please fill out the shaded areas and return to your teacher >>>>>

Assessment -- Test or Quiz Info (example: Quiz 1.1-1..3 or Test Chapter 1):

 

 

Calculus Peer Names & Roles	Quiz or Test Percentage
		Average Team Percentage (calculated by team----round DOWN)
Team or Class Average (%) BonusPercentage Points 90 3 85 2.5 80 2 75 1.5 70 1		Average Class Percentage (provided by teacher):
		Team Bonus (see table on left):
		Class Bonus (see table on left):
		TOTAL BONUS PERCENTAGE POINTS (add team bonus + class bonus then -round UP)

 

Instructions: Teacher Prints Out Sheets then Students:	Cut Out Each Graph, Match Pairs of Function Graphs with corresponding Derivative Graphs

Letter of Function Graph	Matching Letter of Derivative Graph

 

A	B	T
C	X	Q
D	E	V
BB	F	G
S	Y	H
FF	W	K
I	J	AA
L	CC	R
M	N	EE
O	U	Z
P	DD

Letter of Function Graph	Matching Letter of Derivative Graph
A	T
B	Q
C	V
D	X
E	BB
F	S
G	Y
H	FF
I	W
J	AA
K	R
L	CC
M	EE
N	Z
O	U
P	DD

Select AP Exam Questions

 

From 2010 AP Calculus BC Free Response #5.

Let f and g be the functions defined by f(x) = 1/x and g(x) = (4x) / (1+4x^2) for all x > 0.

(a)

Find the absolute maximum value of g on the open interval (0, infinity) if the maximum exists.

Find the absolute minimum value of g on the open interval (0, infinity) if the minimum exists.

Justify your answers.

 

(b) Find the area of the unbounded region in the first quadrant to the right of the vertical line x = 1, below the graph of f, and above the graph of g.