More analytically analyzing how doubling spring compression impacts stopping distance
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https://www.youtube.com/watch?v=PdTRPJlp2Xk
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/the-formal-and-alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-for-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2-5-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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https://www.youtube.com/watch?v=Df2escG-Vu0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
More limit examples
Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Missed the previous lesson?
https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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=YRw8udexH4o
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Unless you’re a quantum particle, you can’t be in two places at once. But your mind *CAN*. Texts can contain more than one main idea: multiple, equally-important arguments can be threaded through a single text. Let’s talk about how that works!
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!
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Attributions:
The public domain map of the United States comes from Wikipedia!
“How can you be in two places at once when you’re not anywhere at all?” is the name of a very goofy counterculture comedy record from the 60s by The Firesign Theatre. The song I sing a snippet of is from Track 2 on the CD version, “Zeno’s Evil”. Prepare yourself: it is very dense.
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https://www.youtube.com/watch?v=GvWH9ZXy9gY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Average value of a function over a closed interval.
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/calculating-function-average-over-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-exponential?utm_source=YT&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.
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=NCF4m8BDs7w
Note: All Khan Academy content is available for free at (www.khanacademy.org)
u15_l1_t3_we2 Adding Rational Expressions
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https://www.youtube.com/watch?v=jE0YCSo4qO8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
More free lessons at: http://www.khanacademy.org/video?v=quBogKF8atM
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https://www.youtube.com/watch?v=quBogKF8atM
Note: All Khan Academy content is available for free at (www.khanacademy.org)
68-72, pg. 283. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-16?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT
Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-14?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT
GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)
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=ejIjaaocVvE
Note: All Khan Academy content is available for free at (www.khanacademy.org)