Princeton Review - Cracking the AP Calculus AB & BC Exams, 2014 Edition

Editorial
Rob Franek, Senior VP, Publisher
Mary Beth Garrick, Director of Production
Selena Coppock, Senior Editor
Calvin Cato, Editor
Kristen OToole, Editor
Meave Shelton, Editor
Alyssa Wolff, Editorial Assistant

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Cover photograph Jonathan Pozniak

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eBook ISBN: 978-0-307-94619-5
ISBN: 978-0-307-94618-8

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Editor: Calvin S. Cato
Production Editor: Jesse Newkirk
Production Coordinator: Deborah A. Silvestrini

2014 Edition

v3.1

David S. Kahn studied applied mathematics and physics at the University of Wisconsin and has taught courses in calculus, precalculus, algebra, trigonometry, and geometry at the college and high school levels. He has worked as an educational consultant for many years and tutored more students in mathematics than he can count! He has worked for The Princeton Review since 1989, and, in addition to AP calculus, he has taught math and verbal courses for the SAT, SAT II, LSAT, GMAT, and the GRE, trained other teachers, and written several other math books as well.

First of all, I would like to thank Arnold Feingold and Peter B. Kahn for once again doing every problem, reading every word, and otherwise lending their invaluable assistance. I also want to thank Calvin Cato for being a terrific editor, Gary King for his first-rate reading, analysis, and contributions, and the production team of Jesse Newkirk and Deborah Silvestrini. Thanks to Frank, without whose advice I never would have taken this path. Thanks to Jeffrey, Miriam, and Vicki for moral support. Thanks Mom.

Finally, I would like to thank the people who really made all of this effort worthwhile my students. I hope that I havent omitted anyone, but if I have, the fault is entirely mine.

Aaron and Sasha, Aaron, Abby B., Abby F., Abby H., Abbye, Abigail H., Aidan, Alec G, Alan M., Alec M., Alec R., Alex and Claire, Alex A., Alex B., Alex F., Alex D., Alex G., Alex H., Alex I., Alex S., Alex and Gabe, Alexa, Alexandra, Natalie and Jason, Alexes, Alexis and Brittany, Ali and Jon, Ali and Amy Z., Ali H., Alice, Alice C., Alicia, Alisha, Allie and Lauren, Allison and Andrew, Allison and Matt S., Allison R., Ally, Ally T., Aly and Lauren, Alyssa and Courtney, Amanda, Brittany, and Nick A., Amanda and Pamela B., Amanda C., Amanda H., Amanda M., Amanda R., Amanda S., Amber and Teal, Amparo, Andrea T., Andrea V., Andrew A., Andrew B., Andrew C., Andrew D., Andrew E., Andrew H., Andrew M., Andrew S., Andy and Sarah R., Andy and Allison, Angela, Angela F., Anisha, Ann, Anna C-S., Anna D., Anna and Jon, Anna and Max, Anna L., Anna M., Anna W., Annie, Annie W., Antonio, Anu, April, Ares, Ariadne, Ariane, Ariel, Arielle and Gabrielle, Arthur and Annie, Arya, Asheley and Freddy, Ashley A, Ashley K, Ashley and Sarah, Ashley and Lauren, Avra, Becca A., Becky B., Becky S., Becky H., Ben S., Ben and Andrew Y., Ben D., Ben S., Benjamin D., Benjamin H., Benji, Beth and Sarah, Bethany and Lesley, Betsy and Jon, Blythe, Bianca and Isabella, Bonnie, Bonnie C., Braedan, Brendan, Brett, Brett A., Brette and Josh, Brian, Brian C., Brian N., Brian W., Brian Z., Brigid, Brin, Brittany E., Brooke, Devon, and Megan, Brooke and Lindsay E., Butch, Caitlin, Caitlin F., Caitlin M., Caitlin and Anna S., Camilla and Eloise, Caroline A., Caroline H., Caroline S., Caroline and Peter W., Carrie M., Catherine W., Chad, Channing, Charlie, Charlotte, Charlotte B., Charlotte M., Chelsea, Chloe, Chloe K., Chris B., Chris C., Chrissie, Christian, Christine, Christine W., Claire H., Clare, Claudia, Clio, Corey, Corinne, Courtney and Keith, Courtney B., Courtney F., Courtney S., Craig, Dan M., Dana J., Dani and Adam, Daniel, Daniel and Jen, Daniella, Danielle and Andreas, Danielle and Nikki D., Danielle G., Danielle H., Danny K., Dara and Stacey, Dara M., Darcy, David B., David R., David S., Deborah and Matthew, Deniz and Destine, Deval, Devin, Devon and Jenna, Dilly, Dong Yi, Dora, Eairinn, Eddy, Elana, Eleanor K., Elexa and Nicky, Elisa, Eliza, Elizabeth, Elizabeth and Mary C., Elizabeth F., Ellie, Elly B., Emily A., Emily B., Emily and Allison, Emily and Catie A., Emily C., Emily G., Emily H., Emily K., Emily L., Emily and Pete M., Emily R., Emily R-H., Emily S., Emily T., Emma and Sophie, Eric N., Erica F., Erica H., Erica R., Erica S., Eric and Lauren, Erica and Annie, Erika, Erin, Ethan, Eugenie, Eva, Evan, Eve H., Eve M., Frank, Gabby, Geoffrey, George and Julian., George M., Gloria, Gracie, Graham and Will, Greg, Greg F., Gussie, Hallie, Hannah C., Hannah J., Hannah and Paige, Harrison, Annabel and Gillian, Harry, Hayley and Tim D., Hazel, Heather D., Heather F., Heather and Gillian, Hernando and Vicki, Hilary and Lindsay, Hilary F., Holli, Holly G., Holly K., Honor, Ian, Ian P., Ingrid, Ira, Isa, Isabel, Isabella and Simone, Isabelle T., Ismini, Isobel, Ivy, Jacob and Kara, Jack, Jack B., Jackie and Vicky, Jackie, Jackie S., Jackson, Jaclyn and Adam, James S., Jamie, Jason P., Jason and Andrew, Jay, Jay K., Jae and Gideon, Jayne and Johnny, Jed D., Jed F., Jeffrey M., Jenna, Jen, Jenn N., Jennifer B., Jennifer W., Jenny K, Jenny and Missy, Jeremy C., Jeremy and Caleb, Jess, Jess P., Jesse, Jessica, Jessica and Eric H., Jessica L., Jessica T., Jessie, Jessie C., Jessie and Perry N., Jill, Jillian, Daniel and Olivia, Jillian S., Jimin, Jimmy C., Jimmy P., Joanna, Joanna C., Joanna G., Joanna M., Joanna and Julia M., Joanna W., Jocelyn, Jody and Kim, Joe B., Johanna, John, John and Dan, Jonah and Zoe, Jonathan G., Jonathan P., Jonathan W., Jordan C., Jordan and Blair F., Jordan G., Jordan P., Jordana, Jordyn, Josh and Jesse, Josh and Noah, Judie and Rob, Julia and Caroline, Julia, Julia G., Julia H., Julia and Charlotte P., Julia T., Julie H., Julie and Dana, Julie P., Juliet, Kara B., Kara O., Kasia and Amy, Kat R., Kate D., Kate F., Kate G., Kate L., Kate P., Kate S., Kate W., Katherine C., Kathryn, Leslie, and Travis, Katie, Katie M., Katrina, Keith M., Kelly C., Kimberly, Kirsten, Kitty and Alex, Krista, Erika, and Karoline, Kristen, Laila, Laura F., Laura G., Laura R., Laura S., Laura T., Laura Z., Lauren and Eric, Lauren R, Lauren T., Lauren and Allie, Leah, Lee R., Leigh and Ruthie, Leigh, Lila, Lila M., Lilaj, Lili C., Lily, Lily M-R., LilyHayes, Lisbeth. and Charlotte, Lindsay F., Lindsay K., Lindsay L., Lindsay N., Lindsay R, Lindsay and Jessie S., Lindsey and Kari, Lisa, Liz D., Liz H., Liz M., Lizzie A., Lizzi B., Lizzie M., Lizzie W., Lizzy, Lizzy C., Lizzy R., Lizzy T., Louis, Lucas, Lucinda, Lucy, Lucy D., Maddie and JD, Maddie P., Maddy W., Madeline, Magnolia, Mara and Steffie, Marcia, Margaret S., Mariel C., Mariel L., Mariel S., Marielle K., Marielle S., Marietta, Marisa C., Marissa, Marnie and Sam, Mary M., Matt, Matthew B., Matthew K., Matt F., Matt G., Matt and Caroline, Matt V., Matthew G., Max B., Max and Chloe K., Max M., Maxx, Ben, and Sam, Maya and Rohit, Maya N., Meesh, Megan G., Melissa, Melissa and Ashley I., Meredith, Meredith and Gordie B., Meredith and Katie D., Meredith R., Meredith S-K., Michael and Dan, Michael H., Michael R., Michaela, Michal, Mike R., Miles, Milton, Miranda, Moira, Molly L, Molly and Annie, Morgan, Morgan C., Morgan and Zoe H., Morgan K., Nadia and Alexis, NaEun, Nancy, Nanette, Naomi, Natasha B., Natasha L., Nathania, Nico, Nick, Nicky S., Nicole B., Nicole J., Nicole N., Nicole S., Nidhi, Nikki, Nina R., Nina V., Nora, Nushien, Oli and Arni, Oliver, Olivia and Daphne, Olivia P., Omar, Oren, Pam, Paige, Paul A., Peter, Philip and Peter, Phoebe, Pierce, Priscilla, Quanquan, Quinn and Chris, Rachel A, Rachel B., Rachel and Adam, Rachel H., Rachel I., Rachel and Jake, Rachel K., Rachel L., Rachel and Mitchell M., Rachel S., Rachel and Eli, Rachel and Steven, Rachel W., Ramit, Randi and Samantha, Rayna, Rebecca B., Rebecca G., Rebecca and Gaby K., Rebecca R., Rebecca W., Resala, Richard, Tina, and Alice, Richie D., Ricky, Rob L., Romanah, Rose, Ryan, Ryan B., Ryan S., Saahil, Sabrina, Sally, Sam C., Sam L., Sam R., Sam S., Sam W., Samantha M., Samuel C., Samar, Sara H., Sara L., Sara R., Sara S., Sara W., Sarah, Patty, and Kat, Sarah and Beth, Sarah A., Sarah D., Sarah F., Sarah G., Sarah and Michelle K., Sarah L., Sarah M-D., Sarah and Michael, Sarah S., Sascha, Samara, Saya, Selena G., Seung Woo, Shadae, Siegfried, Simon W., Simone, Sinead, Skye F., Skye L., Sofia G., Sofia M., Sonja, Sonja and Talya, Sophia J., Sophia S., Sophie and Tess, Sophie D., Sophie S., Sophie W., Stacey, Stacy, Stephanie, Stephanie L., Stephen C., Sunaina, Suzie, Sydney, Tammy and Hayley, Tara and Max, Taylor, Tenley and Galen, Terrence, Tess, Timothy H., Tita, Tom, Torri, Tracy, Tracy K., Tripp H., Tripp W., Tyler, Tyrik, Vana, Vanessa and John, Veda, Vicky B., Victor Z., Victoria, Victoria H., Vinny and Eric, Vivek, Vladimir, Waleed, Will A., Will, Teddy and Ellie, William M., Wyatt and Ryan, Wyna, Xianyuan, Yakir, Yesha, Zach, Zach S., Zachary N., Zo, Zoe L., and Zoey and Rachel.