What's up I'm van and today i want to go through the AP call bc 2012 practice test so let's get started and for question one here we have y equals sine of x all raised to the third power so when we want to take this derivative here we're just going to use the chain rule and just be very careful the power 3 is the outside function so when we do the chain rule we have to start with the power 3, and we're going to have 3 times sine squared of x and the derivative of the base sine x is equal to cosine x so when we do all this we use the chain rule we're going to match this to choice e now for the second question here we're given the position of some particle in the x y plane, and we have equations for the x and y component of the position, and we want to know at which point is the particle at rest now the key idea for this is that the particle is at rest when the velocity is equal to zero so to find the velocity we have to find the velocity of the x and y component so if we label this here the velocity of the x component of the particle we're going to do the power rule on this equation here, and we're going to get 3t squared minus 6t and the velocity in the x is equal to 0 when this expression is equal to zero and if we factor it we get three t times t minus two is equal to zero and this gives us two times two uh t equals zero, and we have t is equal to two so the next thing...
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The AP Calculus BC Multiple Choice 2024 PDF is a document that contains a collection of multiple-choice questions designed to assess a student's understanding of advanced calculus concepts. It is specifically tailored for students who are taking the AP Calculus BC exam. AP Calculus BC is an advanced placement course in calculus that covers topics such as limits, derivatives, integrals, and theorems in depth. The exam consists of two sections - multiple-choice questions and free-response questions. The multiple-choice section assesses a student's ability to solve calculus problems and apply mathematical reasoning skills. The 2024 edition of the PDF provides a collection of multiple-choice questions that were included in the AP exam that year. Students who are preparing for the AP Calculus BC exam can benefit from using this PDF to practice and familiarize themselves with the type of questions they may encounter in the actual exam. By going through the multiple-choice questions and attempting to solve them, students can assess their understanding of the topics covered in the course, identify areas that need improvement, and become more comfortable with the exam format and time constraints. Additionally, this PDF can serve as a valuable resource for teachers who want to provide their students with extra practice materials or use the questions as classroom assignments or assessments.
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