(d) For 0 ≤ t ≤ 8, is there a time t when the rate at which water is pumped into the tank is the same as the rate at which water is removed from the tank? Explain why or why not. (c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer. (b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours. At time t = 0, there are 50,000 liters of water in the tank. The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Selected values of R(t) are shown in the table above. AP® Calculus AB 2013 Free-Response Questions. Each MC question has four answer choices below it. Overall you have 105 minutes for both of those sections, so that translates to over 2 minutes per question. These are split up into a calculator and no-calculator section. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 ≤ t ≤ 8. Both the AP Calculus AB and BC tests have 45 multiple choice questions. Water is pumped into a tank at a rate modeled by W(t) = 2000e -t 2/20 liters per hour for 0 ≤ t ≤ 8, where t is measured in hours.Questions And Worked Solutions For AP Calculus AB 2016ĪP Calculus AB 2016 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2016 Free Response Question 1
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To hide spoilers in the comments use the format: (/spoiler) Spoilers must be clearly marked.ĥ) Don't derail threads with off-topic memes or controversy (e.g., current politics).Ħ) Do not link, request or promote pirated material and key resellers.ħ) Content deemed by the moderators as low effort/quality may be removed.Ĩ) Users may only make self-promotion submissions once per week. Most Important Graphic Settings/Optionsġ) All posts must be related to Kingdom Come: Deliverance.Ģ) Read the Frequently Asked Questions before posting.ģ) No flaming, trolling or harassment of others.Ĥ) Do NOT include spoilers in the post title.Media Questions Discussion Suggestion Memes PSA Issues Useful Links A first-person, open world, realistic RPG that will take you to Medieval Europe in a time of great upheaval and strife. With ChatGPT, you can customize translations to suit your specific needs and provide feedback on adjustments you'd love to see. 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