Power series of ln(1+x_) | Series | AP Calculus BC | Khan Academy
We can represent ln(1+x_) with a power series by representing its derivative as a power series and then integrating that series. You have to admit this is pretty neat. Created by Sal Khan.
AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test
FANBOYS" is a mnemonic device you can use to help remember the coordinating conjunctions of English.
Team Grammar made this video, figuring that we couldn't very well cover conjunctions without writing a song, now could we?
If you're moved to make your own version, send it our way at remix@khanacademy.org; we're excited to hear what you do!
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https://www.youtube.com/watch?v=RNwD4z3EVDc
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Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
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Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/another-polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
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https://www.youtube.com/watch?v=Yd2YBLQUCEc
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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2
Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
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Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=0imeUgSxR10
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More transformations, but this time with a function that maps two dimensions to two dimensions.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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https://www.youtube.com/watch?v=Rkm0dLTYUuw
Note: All Khan Academy content is available for free at (www.khanacademy.org)
This video shows how to graph marginal cost, average variable cost, and average total cost. The relationship between these curves at important points is also explored.
AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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https://www.youtube.com/watch?v=vh7SjS-t1wA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Changes (mutations) to genes can result in changes to proteins, which can affect the structures and functions of the organism and thereby change traits. Some changes are beneficial, others harmful, and some neutral to the organism.
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Credits:
Diagram created with Biorender.com:
https://biorender.com/
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https://www.youtube.com/watch?v=_9wnC5pta78
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Sal rewrites addition problems to make them easier to solve.
Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/exercise-for-numberline-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade
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2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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https://www.youtube.com/watch?v=Nq88IHw4Y9E
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Enzymes as catalysts for reactions in biological systems; discussion of substrates, active sites, induced fit, and activation energy.
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Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=A90HKrgUOg0
Note: All Khan Academy content is available for free at (www.khanacademy.org)