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4 episodes with definite integral
34 episodes with definite integral
34 episodes with definite integral
4 episodes with definite integral
2 episodes with definite integral
3 episodes with definite integral
2 episodes with definite integral
Join Hugh Ross and Jeff Zweerink as they discuss new discoveries taking place at the frontiers of science that have theological and philosophical implications, including the reality of God's existence. Smart Dams More than 58,000 dams that are built higher than 15 meters (50 feet) exist on nearly all the world's rivers. Consequently, migratory fish stocks have declined by 76% since 1970 and populations of “megafish” have declined by 94%. Two water resource engineers combined fish migratory taxonomy data with migratory fish life cycle and dam impact models to determine the best fish rescue strategies for five flagship fish species residing in the 12 large dams on the Yangtze River in China. They identified six major misjudgments in China's fish rescue programs and concluded that large, effective fishways are essential for maintaining robust fish stocks. Malicious AIs The quest for more powerful and capable AIs inevitably involves making more sophisticated training algorithms and models with a larger number of parameters. While pursuing this quest, AI developers are also investigating how to align AIs with the values and behaviors we want. Recent research demonstrated that those two goals currently stand in opposition to one another. Specifically, making larger, more sophisticated models results in AIs that effectively resist training to eliminate malicious behavior—regardless of whether the malicious behavior was intentionally programmed or an unintended consequence. Such results provide additional evidence that we humans need to build godly character in ourselves so that we can wisely and responsibly develop and use these powerful AI tools. Links & Resources: Dams Trigger Exponential Population Declines of Migratory Fish The Evaluation of a Definite Integral by the Method of Brackets Illustrating Its Flexibility
This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.
Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course.
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.7: Substitution and Properties of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.8: Applications of the Definite Integral
Chapter 5.6: The Definite Integral
Chapter 5.6: The Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.8: Applications of the Definite Integral
Chapter 3.6: The Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.7: Substitution and Properties of the Definite Integral
Chapter 3.6: The Definite Integral
We describe how to deal with integration limits when substitution is performed on a definite integral.
Exploring through Sketchpad, the connection between a function and a function representing the signed area from a to x is explored. The function [F(x)] that is the signed area from a to x for the function f(x) is revealed to be the anti-derivative. An example using the anti-derivative is completed.
Lesson starts with average value of a function. Exploring through Sketchpad, the connection between a function and a function representing the signed area from a to x is explored. The function [F(x)] that is the signed area from a to x for the function f(x) is revealed to be the anti-derivative.
This section looks at several properties of definite integrals including how to combine or separate them over a given interval, combining functions, and reversing the limits.
A reimann sum is constructed and then developed into the definite integral. A connection to area is explored. Definite integrals are evaluated using knowledge of geometry.
Math 110 Applied Calculus for Business
Math 110 Applied Calculus for Business
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