Ap calculus Definition and 117 Threads

Advanced Placement Calculus (also known as AP Calculus, AP Calc, or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board. AP Calculus AB covers basic introductions to limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including more advanced integration techniques such as integration by parts, Taylor series, parametric equations, vector calculus, polar coordinate functions, and curve interpolations).

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    Solve AP Calc Problem: Draining Water from Conical/Cylindrical Tanks

    Homework Statement Water is drained from a conical tank with height 12ft and diameter 8ft into a cylindrical tank that has a base with area 400Π square feet. the deep, h, in feet, of the water in the conical tank is changing at the rate of 12 ft/min a. write an expression for the volume...
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    AP Calculus Help: Solving y^2=2+xy

    AP Calculus help! Homework Statement consider y^2=2+xy a. show that dy/dx = y/2y-x b. find all pints (x,y) on the curve where the line tangent to the curve has slope 1/2 c. show that there are no points (x,y) on the curve where the line tangent to the curve is horizontal d. Let x and y be...
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    Text & Review Books for Chemistry Honors, AP Calculus, AP Bio, AP Env. Sci.

    What are the best Text/Review books for: Chemistry Honors, AP Calculus, AP Bio, AP Enviornmental Science?? I'm looking for good textbooks that are easy to comprehend and gives you a lot of practice and allows you to think a lot. Likewise, I would like simplistic review books that go right to...
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    AP Calculus Exam Prep: Princeton Review vs Barron's

    What is the best prep book (hardest) for AP calculus exam? Is it Princeton Review or Barron's? Are there better books?
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    Recommended AP calculus assistance material?

    sorry if this doesn't belong here - please feel free to move it to the proper section. im looking for a good book/reference material that would be helpful during a year of HS AP calculus. something that will supplement the school material and help me better understand it as we go through it...
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    Schools AP Calculus vs. College Calculus

    Next semester, I will have the option of taking Calculus AB (AP) or Calculus 1 at a local community college. From what I heard, Calculus AB only covers topics in Calculus 1. I also heard that college courses are superior to AP courses and they are better preparation for future college...
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    AP Calculus AB: Finding y with dy/dx = 2y^2 and given x=1, y=-1

    If dy/dx = 2y^2 and if y=-1 when x=1 then when x=2, y=? I have no idea how to even start this probelm, i never seen this on any previous practice tests i thought about using the equation y+1 = dy/dx (x-1), but that's probably wrong and not going to help...
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    Solve Calculus Problem: Find a & b from f(x) and Tangent Line at (a,b)

    This somehow seems easy, but I cannot get the jist of it. f(x) = x^3 - x^2 - 4x + 4 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,-8) which is not on the graph of f. Find the values of a and b. okay so, I've spent about an...
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    Where Can I Find AP Calculus Lecture Notes and Review Materials?

    Does anyone know where to get good lecture notes for either the AP Calculus AB or BC exam? Or a review packet of the curriculum? Thanks for your help!
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    Solve Excercise 9 in AP Calculus: Find DELTA for |f(x)-L| < E

    Here's a limit question which I can't seem to figure out how to do, if someone can explain how to do this one question, I'd greatly appreciate it, as I barely understand this: In Excercise 9, a positive number E and the limit L of a function f at a are given. Find a number DELTA such that...
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    AP Calculus: Finding Derivatives, Tangents, and Graph Points

    Let y=f(x) be the continuous function that satifies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2,1) and (-2,-2). Let 'L' be the tangent to the graph of f(x) at x=2. A) Find an expression for y' B) Write an equation for the line 'L' C) Give the coordinates of...
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    AP Calculus AB and BC: Appropriate Book?

    Hello all I was just wondering whether Richard Courant's Differential and Integral Calculus Volumes 1 and 2 would be appropriate for studying AP Calculus AB and BC. Would I be able to learn most of the topics covered in these courses just by using these books? I am asking this, because I do...
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    AP Calculus AB and BC: Appropriate Book?

    Hello all I was just wondering whether Richard Courant's Differential and Integral Calculus Volumes 1 and 2 would be appropriate for studying AP Calculus AB and BC. Would I be able to learn most of the topics covered in these courses just by using these books? I am asking this, because I do...
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    AP calculus preparation books

    Which ones do you recommend? Please give an explanation as well. Thanx
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    Collegeboard and the AP Calculus exam is done

    Do not talk about the Mulitiple choice exam. DO NOT TALK OR CONVEY OR ALLUDE TO THE MULTIPLE CHOICE PORTION OF THE EXAM AT ALL! Discussions of the Free response is permitted as of Friday or 48hours from 8AM Wednesday 5/5/04 That is not allowed because they recirculate that year after...
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    AP Calculus BC Test Prep: Solving f(-x)=f(x) Problem | Ryan

    To review for the AP Calculus BC test coming up in May, my teacher has been giving us problems from past AP tests to help us review. However, I have absolutely no idea how to do on of the problems that I was assigned: For all real numbers x, f is a differentiable function such that...
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    Hi, I'm in AP Calculus and I feel really stupid

    Hi, I'm in AP Calculus and I feel really stupid :( I feel really stupid because it's only the first week of school and I'm struggling with the review (I forgot a lot over the summer) I'm posed with these two problems (in addition to many other but I don't want to bore you all :))...
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