The first thing to note is that if the integral converges, we must have that the series converges as well. Therefore, answer choice D is incorrect. The following picture helps illustrate this. But, as we can see from the picture, the area of the bars overestimates the area under the curve, so the sum of the series is greater than the integral.
This means that answer choice C is the only possible option. We can use the direct comparison test to determine if the series converges. If we find a bigger series that converges, the direct comparison test states that our series also converges.
Many AP Calculus BC topics build off of AB topics for example, limits play a big role in series convergence tests , so though you should focus your studying on the former, make sure to brush up on the latter as well. This way you can find the intersections with your calculator rather than solving by hand. Calculus is pretty hard even for seniors.
Im not entirely sure why its so hard, but I suspect its because of a couple reasons. Im dont think teacher would move your grade up from doing well on the AP exam as it is separate from your class.
Buy study guides, study with other people, watch Khan Academy videos. You must be missing some concepts if you are doing poorly even if you consider poorly not managing an A. Many people self-study AP classes, you can self-study and take the course. Sometimes the study guides are better than the course. Or is that normal at your school? So how do you figure out whether the AP Calculus teachers are your school are good? See the workload is like.
Also see how the teacher integrates practice AP problems and full exams. If AP exam practice isn't part of the course, that can be a red flag. Older siblings and their friends, as well as older friends from clubs and sports, are a good place to start.
Don't trust student word-of-mouth entirely, but if you hear the same thing from multiple students "the BC calculus teacher is amazing! If they have a high passing rate above the national average that's a good sign. If it's markedly lower, you might want to reconsider. One thing to keep in mind: it's possible that if your school has an excellent BC teacher but a less strong AB teacher, BC could actually be easier since you'll be learning the same concepts with a better teacher.
If you're especially reliant on your teachers in math classes, you might want to take the course with the better teacher. Which other math classes should you take? Check out our guide to the math classes you should take in high school. Interested in math competitions like the International Math Olympiad? One of the single most important parts of your college application is what classes you choose to take in high school in conjunction with how well you do in those classes.
Our team of PrepScholar admissions experts have compiled their knowledge into this single guide to planning out your high school course schedule. Halle Edwards graduated from Stanford University with honors. She also took nine AP classes, earning a perfect score of 5 on seven AP tests.
As a graduate of a large public high school who tackled the college admission process largely on her own, she is passionate about helping high school students from different backgrounds get the knowledge they need to be successful in the college admissions process.
Our new student and parent forum, at ExpertHub. See how other students and parents are navigating high school, college, and the college admissions process. Ask questions; get answers. How to Get a Perfect , by a Perfect Scorer. Score on SAT Math. Score on SAT Reading. Score on SAT Writing. What ACT target score should you be aiming for? How to Get a Perfect 4. Calc BC is not a very difficult AP class or test. You will work hard and you will be learning an entire year of college calculus , but it will save a lot of money on tuition.
However, it is much easier to take BC calc in high school than take Calc 1 and Calc 2 in college in classes of kids. Is AP Calculus worth taking? Is a 4 on AP Calculus good? Why is Calc so hard? Exam 5 4 Statistics What percent is a 5 on AP Bio? What percent do you need to get a 5 on the AP calculus exam? How do you get an A in calculus? How to Get an A in Calculus. What do I need to bring to AP calc test?
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