ap 2012 calculus bc free response questions
AP® Calculus BC
2012 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 access to higher education. Today, the membership association is made up of more than 5,900 of the world’s leading educational institutions and is dedicated to promoting excellence and equity in education. Each year, the College Board helps more than seven million students prepare for a successful transition to college through programs and services in college readiness and college success — including the SAT® and the Advanced
Placement Program®. The organization also serves the education community through research and advocacy on behalf of students, educators, and schools.
© 2012 The College Board. College Board, Advanced Placement Program, AP, AP Central, SAT, and the acorn logo are registered trademarks of the College Board. Admitted Class Evaluation Service and inspiring minds are trademarks owned by the College
Board. All other products and services may be trademarks of their respective owners. Visit the College Board on the Web: www.collegeboard.org. Permission to use copyrighted College Board materials may be requested online at: www.collegeboard.org/inquiry/cbpermit.html. Visit the College Board on the Web: www.collegeboard.org.
AP Central is the official online home for the AP Program: apcentral.collegeboard.org.
2012 AP® CALCULUS BC FREE-RESPONSE QUESTIONS
CALCULUS BC
SECTION II, Part A
Time— 30 minutes
Number of problems— 2
A graphing calculator is required for these problems.
t (minutes)
0
4
9
15
20
W t (degrees Fahrenheit)
55.0
57.1
61.8
67.9
71.0
1. The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W, where W t is measured in degrees Fahrenheit and t is measured in minutes. At time t 0, the temperature of the water is 55F.
2012 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 access to higher education. Today, the membership association is made up of more than 5,900 of the world’s leading educational institutions and is dedicated to promoting excellence and equity in education. Each year, the College Board helps more than seven million students prepare for a successful transition to college through programs and services in college readiness and college success — including the SAT® and the Advanced
Placement Program®. The organization also serves the education community through research and advocacy on behalf of students, educators, and schools.
© 2012 The College Board. College Board, Advanced Placement Program, AP, AP Central, SAT, and the acorn logo are registered trademarks of the College Board. Admitted Class Evaluation Service and inspiring minds are trademarks owned by the College
Board. All other products and services may be trademarks of their respective owners. Visit the College Board on the Web: www.collegeboard.org. Permission to use copyrighted College Board materials may be requested online at: www.collegeboard.org/inquiry/cbpermit.html. Visit the College Board on the Web: www.collegeboard.org.
AP Central is the official online home for the AP Program: apcentral.collegeboard.org.
2012 AP® CALCULUS BC FREE-RESPONSE QUESTIONS
CALCULUS BC
SECTION II, Part A
Time— 30 minutes
Number of problems— 2
A graphing calculator is required for these problems.
t (minutes)
0
4
9
15
20
W t (degrees Fahrenheit)
55.0
57.1
61.8
67.9
71.0
1. The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W, where W t is measured in degrees Fahrenheit and t is measured in minutes. At time t 0, the temperature of the water is 55F.