Summer Review Packet For Students Entering AP Calculus-AB Complete all work in the packet and have it ready to be turned in to your Calculus teacher on the first day of classes on Monday August 16, 2021. SHOW ALL WORK! An answer alone without work may result in no credit given. A CALCULATOR is NOT to be used while working on this packet. The problems in this packet are designed to help you review topics that are important to your success in Calculus. The problems must be done correctly, not just tried. Use your notes from previous math courses to help you. You may also visit the following websites to help: https://www.khanacademy.org/ http://www.coolmath.com/precalculus-review-calculus-intro http://mathforum.org/library/drmath/drmath.high.html We will review these topics for the first few days of school. There will be an examination covering these topics on Friday August 20, 2021. For those that miss any of the review days, you will still be obliged to take the exam on the fifth day because these topics are review from previous classes. Calculus is relatively easy, it’s the algebra that is hard. Most of the time, you’ll understand the calculus concept being taught, but will struggle to get the correct answer because of your background skills. Please be diligent and figure out what you need help with so that we can clarify for you. A little extra work this summer will go a long way to help you succeed in AP Calculus. Print out a copy of the packet from Sonora High School website under Students & Parents tab then Summer Assignments, then choose AP Calculus. You teacher will also post this packet in their Google Classroom so you also can access it through there. Print out your copy before summer starts and work on it continuously throughout the summer (a page a week). DO NOT WAIT UNTIL THE DAY BEFORE SCHOOL STARTS TO WORK ON THIS!!! We are looking forward to seeing all of you in the fall for an amazing year of Calculus with a lot of HIGH FIVES. I think you will find this course challenging but enjoyable at the same time. Enjoy your Summer, Sonora Math Department. XV. Rationalize the denominator. 2 4 15 1. 2. 3. 32 15 13 XVI. Solve for x. Do not use a calculator. 1 1. 5 x1 25 2. logx 3 3. 322x 4. logx2 2log 4 4log 5 2 3 3 3 3 XVII. Simplify 2 2log3 5 1. log2 5 log 2xx 1 log 2 1 2. 2 log42 9 log 3 3. 3 1 1 1 4. log 10 2 5. log 6. 2logxx 3log 3 10 10 10x 10 10 XVIII. Find all real solutions by factoring completely. 1. xx6416 0 2. 4x32 8 x 25 x 50 0 3. 8x3 27 0 4. x4 10 XIV. Solve for x. 1. 3sin22x cos x ; 0 x 2 2. tanx sec x 2cos x ; x XX. Solve for x. Give the solution in interval notation. 1. x 41 2. 5x 2 8 3. 2x 1 3 21x 4. xx2 2 3 0 5. 1 32x XXI. Find the inverse of the functions. x 2 1. f x 23 x 2. fx 51x XXII. The graph of the function y f x is given as follows: Determine the graphs of the functions: 1. fx 1 2. fx 3. fx .