Calculus memes plankton7/2/2023 (a) Use the data in the table to estimate H'(6). Selected values of H(t) are given in the table above. The height of a tree at time t is given by a twice-differentiable function H, where H(t)) is measured in meters and t is measured in years.Related rates problem using a new function. Trapezoidal Rule to approximate average value. Find the total distance traveled by the boat over the time interval 0 ≤ t ≤ 1.ĪP Calculus BC 2018 Free Response Question 4 Time t is measured in hours, and x(t) and y(t) are At time t ≥' 0, the position of the boat is (x(t),y(t)), where (d) The boat is moving on the surface of the sea. Plankton cells in the column is less than or equal to 2000 million. That gives the number of plankton cells, in millions, in the entire column. Write an expression involving one or more integrals Water in part (b) is K meters deep, where K > 30. (c) There is a function u such that 0 ≤ f(h) ≤ u(h) for all h > 30 and. To the nearest million, how many plankton cells are in this column of water between h = 0 and (b) Consider a vertical column of water in this sea with horizontal cross sections of constant area 3 square Using correct units, interpret the meaning of p'(25) in the context of the problem. The continuous function f is not explicitly given. Plankton cells, in millions of cells per cubic meter, is modeled by Researchers on a boat are investigating plankton cells in a sea.Arc length to find distance traveled for some parametric equations. Using squeeze theorem (comparison test logic) to show that This was a kind of new context but all the same old stuff.Īlso, you had a calculator to do the hard work for you. Justify your answer.ĪP Calculus BC 2018 Free Response Question 2 Number, find the number of people in line at this time. (d) For 0 ≤ t ≤ 300, at what time t is the number of people in line a minimum? To the nearest whole (c) For t > 300, what is the first time t that there are no people in line for the escalator? (b) During the time interval 0 ≤ t ≤ 300, there are always people in line for the escalator. (a) How many people enter the line for the escalator during the time interval 0 ≤ t ≤ 300 ? There are 20 people in line at time t = 0. They exit the line at a constant rate of 0.7 person per second. Where r(t) is measured in people per second and t is measured in seconds. People enter a line for an escalator at a rate modeled by the function r given by.Use anĪccumulation function and the Fundamental Theorem of Calculus (FTC). They captioned the image, "When your first meme gets to the top of the subreddit but it's gaming week so pewds doesn't review the subreddit." In a little over two months, it received over 16,000 points (97% upvoted) and 85 comments (shown below, right).Questions And Worked Solutions For AP Calculus BC 2018ĪP Calculus BC 2018 Free Response Questions - Complete Paper (pdf)ĪP Calculus BC 2018 Free Response Question 1 On July 5th, 2019, Redditor CrPepsi shared a variation of the image in the /r/PewdiePieSubmissions subreddit. The following year, Redditor ATurtle96 shared a variation with the addition of the subtitle "." They captioned the image "1st grader: Rain rain go away come again another day." The post received over 72,000 points (96% upvoted) and 245 comments in about two months (shown below, center). They captioned the post "When somebody passes you in the fast lane only to slow down." The post received over 960 points (99% upvoted) in a year and a half (shown below, left). On May 10th, 2018, Redditor SoonerAjay shared a image edited variation of the screenshot. On September 1st, an anonymous 4chan user shared an edited version of a screenshot of Plankton cringing, which had a pink tint on the image (shown below). Within three years, it received over 66,000 views (shown below, right). On June 1st, 2017, YouTuber GuyWithThePie shared a similar variation that was even more distorted. On December 13th, 2016, YouTuber warnsy posted an ear rape edit of the scene that gained over 150,000 views in less than three years (shown below, left). The post received more than 1.1 million views in less than eight years (shown below). On February 24th, 2012, Fandango published the clip on their YouTube account. Lawrence) expresses frustration after learning of the opening of a second Krusty Krab restaurant by bending over and writhes in pain. In the film, the character Plankton (voiced by Mr. On November 19th, 2004, The SpongeBob SquarePants Movie was released in the United States.
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