Hello all AP Calculus blog viewers! Long time no blog. Throughout the last couple weeks our class finished chapter 6, tested, and are in the works of chapter 7. The test on chapter 6 went very well and it was mostly over a continuation of definite and indefinite integrals. Section 7.1 is about the functions of position, velocity, acceleration, and jerk. 7.2 includes finding the area between two curves. To do this, one must first find the place where the two curves intersect. Then, take the integral of the first curve (making the intersection points the bounds) and subtract it from the integral of the second curve. The first curve is always the curve that is above the other when you are in the first two quadrants. There are different circumstances when the line is a or b. Almost every day of this week we talked about section 7.3. In this section we learned that when you have a curve and you want to rotate it about an axis or solid line, you must figure out the radius of your line at any point (Usually just the function), square that number or function, and then take the integral with whichever bounds need to be used for the specific example. It sounds very complex when reading it in text, but if you need further help with visualizing the subject, use this link: http://dj1hlxw0wr920.cloudfront.net/userfiles/wyzfiles/812d1354-ca6b-424e-ae7b-248360575cbd.gif. Thank you for reading my blog and have a great rest of your day!
Hello all Advanced Placement Calculus blog viewers. It's been a relatively short week in math class. Monday we received the day off from school, and I had to miss Wednesday for a doctors appointment. We started off on Tuesday by taking a quiz about slope fields and integrals with U substitution. The quiz went well, but it took a lot of hard meticulous work to complete it. Personally, I thought it was one of the hardest quizzes of the year. The next day, we started talking about the separation of variables within derivatives. By separating these variables, it allows you to find the original equation from which you took the derivative. For example, If you have the equation dy/dx=(xy)^2, if you separate the variables within the equation and get y^-2(dy)=(dx)x^2. You then can take the antiderivative of both sides and find the C of the equation. Then, with this information you can find the original equation of F(x). |
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