Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b) ... https://www.youtube.com/watch?v=zw0waJCEc-w Note: All Khan Academy content is available for free at (www.khanacademy.org)
Maclaurin series for derivative.
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC
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
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=59Jop9bZ-mw
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Sn2 stereochemistry. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn1-sn2-solvent-effects?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry
Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/steric-hindrance-1?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry
Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules!
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=WrsROtPSeuA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
We can check whether a potential solution to a differential equation is indeed a solution. What we need to do is differentiate and substitute both the solution and the derivative into the equation.
View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-2/v/verifying-solutions-to-differential-equations?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago.
Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today!
Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc
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https://www.youtube.com/watch?v=KZqg4L--YC0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Learn how to use italics and underlines when writing the titles of works or when emphasizing a particular word or phrase.
Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/italics--underlines--and-quotes/
Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/quotation-marks/
Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point!
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=aqef1Wx4D6w
Note: All Khan Academy content is available for free at (www.khanacademy.org)
In this video, David explains how an atom can absorb and emit photons of particular values and how to determine the allowed values.
Watch the next lesson: https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/bohr-model-radii-derivation-using-physics?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/quantum-wavefunction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
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=_vK5KPycEvA
Note: All Khan Academy content is available for free at (www.khanacademy.org)
U.S. Customary and Metric units
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/farenheit-celsius-conversion/v/converting-farenheit-to-celsius?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/conversion-between-metric-units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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=y2RHWA7t0WM
Note: All Khan Academy content is available for free at (www.khanacademy.org)
This video discusses how economists measure the total factor productivity, capital, and human capital for an aggregate production function.
Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/e/economic-growth
Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/aggregate-production-function-and-productivity
Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/understanding-economic-growth-ap-macroeconomics-khan-academy
AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance.
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https://www.youtube.com/watch?v=yrPrzY3rmQM
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Perhaps you've noticed that after teaching you the concept and doing a few example problems together, we always like to throw you a word problem in which you have to apply what you've learned. So here let's find the volume!
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
This is the last video in our pre-algebra subject! Now move on to our first video in basic geometry: https://www.khanacademy.org/math/basic-geo/basic-geo-lines/basic-geo-lines-rays-angles/v/euclid-as-the-father-of-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/volume-of-a-rectangular-prism-or-box-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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https://www.youtube.com/watch?v=OanPzjf2EYY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
The plural of "dog" is "dogs", but what is the plural of "leaf"? Khan Academy's resident grammarian explains.
Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns--f-to--ves?utm_source=YT&utm_medium=Desc&utm_campaign=grammar
Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-ii-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar
Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/common-and-proper-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar
Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone.
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https://www.youtube.com/watch?v=2bx7yjLC01M
Note: All Khan Academy content is available for free at (www.khanacademy.org)