AP Calculus BC
2013 Scoring Guidelines
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AP Calculus BC
2014 Scoring Guidelines
2014 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo
are registered trademarks of the College Board.
Visit the College Board on the Web: www.collegeboard.org.
AP Cent
AP Calculus BC
2014 Free-Response Questions
2014 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo
are registered trademarks of the College Board.
Visit the College Board on the Web: www.collegeboard.org.
AP
AP Calculus BC
2013 Free-Response Questions
About the College Board
The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity.
Founded in 1900, the College Board was created to expand acces
Nth Term test
2n 7 n
is convergent.
9n
n 0
1. Determine whether the series
Solution: We write
n
2n 7 n
2
7
n
9
n 0
n 0 9
n 0 9
1
1
2
7
1
1
9
9
n
which expresses the series as the sum of two geometric series which are convergent. Hence,
the series is c
CALCULUS REVIEW EXERCISES
1.
2.
If
5
5 k
3
3 k
f ( x k )dx 1 then
f ( x)dx ?
If g is continuous, which of the following are equal?
b
b 1
ba
a
a 1
0
g ( x)dx , g ( x 1)dx , g ( x a)dx
a
3.
If f is odd then f ( x)dx ?
a
a
4.
If f is even then
f ( x)dx ?
SEQUENCES AND SERIES
1
Sequences and Series
Definition - A sequence is a function whose domain is the set of all positive integers.
If a is a sequence then we write an = a(n) for each positive integer n.
Examples:
an
1
n
a1 2 , an 1
cfw_(1) n n1
1
1 1
CALCULUS REVIEW EXERCISES
1.
If
then
5
f ( x k )dx 1
f ( x) dx
If g is continuous, which of the following are equal?
b
g ( x)dxm,
a
3.
?
3 k
3
2.
5 k
b 1
g ( x 1)dx,
a 1
ba
g ( x a )dx
0
If f is odd then
?
a
f ( x) dx
a
4.
If f is even then
?
a
f ( x
Group 2: Performance (a) What does Dr. Casper mean when he says that performance is a visual-aural representation of the script? - Performance is a visual-aural representation of the script, because performance is an interpretation of the script and conte
Chapter 1: Limits and Continuity 1.1 Examples of Velocity, Growth Rate, and Area -Average Velocity = Change of Position Amount of Time -Instantaneous Velocity= lim f(t+h) f(t) h->0 h -Average Rate of Growth= Change in Growth = slope of line joining the po
Chapter 2: Differentiation 2.1 Tangent Lines and Their Slopes -A tangent line to a circle meets the circle at one point, the circle lies on only side of the line, the tangent is perpendicular to the line joining the centre of the circle to the point of co